A Math

A Math (IGCSE)

E Math

E Math (IGCSE)

H1 Math

H2 Math

IB AA HL Math

IB AA SL Math

IB AI HL Math

IB AI SL Math

IP Math

N(A) A Math

N(A) E Math

PSLE

PSLE Foundation Mathematics

<p>One hundred students were asked how many hand phones they have in their home. The results of the survey are summarized in the table below.</p>
<div class="content-block content-block--table"><div class="table-container"><table><thead><tr style="height: 23px;"><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">No. of hand phones ($x$)</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">No. of students ($f$)</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$fx$</th></tr></thead><tbody><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$1$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$15$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$c$</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$2$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$25$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$50$</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$b$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$d$</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$a$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$84$</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$5$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$12$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$60$</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$6$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$5$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$30$</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">Total</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$100$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$e$</td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find</span></div><ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">the values of $a$, $b$, $c$, $d$ and $e$.</span></div></li><li><div class="list-item-content"><span class="list-item-text">the mean and standard deviation of the number of hand phones in their home.</span></div></li></ol></li><li><div class="list-item-content"><span class="list-item-text">There are $5$ red cards, $6$ yellow cards and $4$ blue cards in a box. Annie draws a card from the box at random. Write down the probability that she will not get a blue card.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Brandon draws $2$ cards at random, one after the other, without replacement. Find the probability that the two cards are of different colour.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Annie and Brandon take turn to draw one card at a time, without replacement, until either player gets a blue card. Assuming that Annie starts first, find the probability that she will get a blue card exactly on her second try.</span></div></li></ol>

One hundred students were asked how many hand phones they have in their home. The results of the survey are summarized in the table below.

There are $5$ red cards, $6$ yellow cards and $4$ blue cards in a box. Annie draws a card from the box at random. Write down the probability that she will not get a blue card.

Brandon draws $2$ cards at random, one after the other, without replacement. Find the probability that the two cards are of different colour.

Annie and Brandon take turn to draw one card at a time, without replacement, until either player gets a blue card. Assuming that Annie starts first, find the probability that she will get a blue card exactly on her second try.

Mean and Standard Deviation for Ungrouped Data

Probabilities of Successive Events

Constructing and Interpreting Frequency Tables

Probability of a Single Event

Waiting-Time and Stopping-Rule Probabilities

Statistics

Probability

<p>Four candidates, A, B, C and D are running for the President of the university’s student union. The votes that each candidate gets are given below:</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 400px;"><colgroup><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"></colgroup><thead><tr style="height: 50px;"><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">D</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</th><th style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</th></tr></thead><tbody><tr style="height: 50px;"><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">D</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</td></tr><tr style="height: 50px;"><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">D</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">D</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td></tr><tr style="height: 50px;"><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">D</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">D</td></tr><tr style="height: 50px;"><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">C</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">A</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">D</td><td style="height: 50px; min-height: 50px; text-align: center; --cell-justify: center">B</td></tr></tbody></table></div></div>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Using the data from the table, complete the frequency table below.</span></div></li></ol>
<div class="content-block content-block--table"><div class="table-container"><table style="width: 100%;"><thead><tr><th style="text-align: left; --cell-justify: flex-start">Candidate</th><th style="text-align: left; --cell-justify: flex-start">Tally</th><th style="text-align: left; --cell-justify: flex-start">Number of votes ($f$)</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">A</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">B</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">C</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">D</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr></tbody></table></div></div>
<ol class="i-list" start="2"><li><div class="list-item-content"><span class="list-item-text">Construct a bar graph using the grids below to illustrate the data.</span></div></li></ol>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767698730889-w1pke3uuqep.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc2OTg3MzA4ODktdzFwa2UzdXVxZXAucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY5NTg4NSwiZXhwIjoxNzkyNjk2MTg1fQ.DZJD4V3mY2kI4c-9h-woDyWECYFIdBup48md130Zfgs" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="i-list" start="3"><li><div class="list-item-paragraph">State which candidate wins the election. Hence express the number of the winning candidate’s votes as a percentage of the total number of votes.</div></li><li><div class="list-item-paragraph">Explain with clear reasons why a line graph is not as suitable as a bar graph to illustrate the data in this question.</div></li></ol>

Four candidates, A, B, C and D are running for the President of the university’s student union. The votes that each candidate gets are given below:

Using the data from the table, complete the frequency table below.

Construct a bar graph using the grids below to illustrate the data.

Interpreting and Evaluating Statistical Representations

Expressing One Quantity as a Percentage of Another

Bar Graphs

 Line Graphs

Percentages

<p>The following data shows the number of hours $24$ students of a class spent studying per day.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 400px;"><colgroup><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"><p>$4$</p></th><th style="text-align: center; --cell-justify: center"><p>$3$</p></th><th style="text-align: center; --cell-justify: center"><p>$4$</p></th><th style="text-align: center; --cell-justify: center"><p>$6$</p></th><th style="text-align: center; --cell-justify: center"><p>$1$</p></th><th style="text-align: center; --cell-justify: center"><p>$4$</p></th><th style="text-align: center; --cell-justify: center"><p>$0$</p></th><th style="text-align: center; --cell-justify: center"><p>$5$</p></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center"><p>$3$</p></td><td style="text-align: center; --cell-justify: center"><p>$1$</p></td><td style="text-align: center; --cell-justify: center"><p>$4$</p></td><td style="text-align: center; --cell-justify: center"><p>$4$</p></td><td style="text-align: center; --cell-justify: center"><p>$1$</p></td><td style="text-align: center; --cell-justify: center"><p>$4$</p></td><td style="text-align: center; --cell-justify: center"><p>$5$</p></td><td style="text-align: center; --cell-justify: center"><p>$6$</p></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$0$</p></td><td style="text-align: center; --cell-justify: center"><p>$3$</p></td><td style="text-align: center; --cell-justify: center"><p>$4$</p></td><td style="text-align: center; --cell-justify: center"><p>$0$</p></td><td style="text-align: center; --cell-justify: center"><p>$4$</p></td><td style="text-align: center; --cell-justify: center"><p>$0$</p></td><td style="text-align: center; --cell-justify: center"><p>$3$</p></td><td style="text-align: center; --cell-justify: center"><p>$3$</p></td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-paragraph">Using the grid below, draw a dot diagram to represent the above data.	</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1765431475759-62j12cvscbf.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjU0MzE0NzU3NTktNjJqMTJjdnNjYmYucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY5NTg4NSwiZXhwIjoxNzkyNjk2MTg1fQ.0ismrVq_nVbOqfI17nyWIlsLNC1Wi3ve03LeFc45Dm4" alt="List item image" class="aligncenter custom-width" style="max-width: min(350px, 100%); height: auto;" /></div></li><li><div class="list-item-paragraph">What is the modal number of hours the students spent studying?</div></li><li><div class="list-item-paragraph">Calculate the mean number of hours the students spent studying.</div></li><li><div class="list-item-paragraph">If the above data was presented on a pie chart, what is the size of the angle that represents the number of students who study at least $3$ hours a day?</div></li><li><div class="list-item-paragraph">What is the probability of a student studying $4$ hours a day?	</div></li></ol>

The following data shows the number of hours $24$ students of a class spent studying per day.

Mean of a Frequency Distribution

Pie Charts

Mode

Dot Diagrams

Number of Hours Spent Studying: Mode, Mean, and Probability

<p>In the recent Job Week carried out by a group of $30$ scouts, the amount of money collected are shown in the table below.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 600px;"><colgroup><col style="width: 100px;"><col style="width: 100px;"><col style="width: 100px;"><col style="width: 100px;"><col style="width: 100px;"><col style="width: 100px;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"><p><strong>Amount collected ($\$w$)</strong></p></th><th style="text-align: center; --cell-justify: center"><p>$0&lt;w\le 20$</p></th><th style="text-align: center; --cell-justify: center"><p>$20&lt;w\le 40$</p></th><th style="text-align: center; --cell-justify: center"><p>$40&lt;w\le 60$</p></th><th style="text-align: center; --cell-justify: center"><p>$60&lt;w\le 80$</p></th><th style="text-align: center; --cell-justify: center"><p>$80&lt;w\le 100$</p></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center"><p><strong>Number of scouts</strong></p></td><td style="text-align: center; --cell-justify: center"><p>$5$</p></td><td style="text-align: center; --cell-justify: center"><p>$12$</p></td><td style="text-align: center; --cell-justify: center"><p>$4$</p></td><td style="text-align: center; --cell-justify: center"><p>$6$</p></td><td style="text-align: center; --cell-justify: center"><p>$3$</p></td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-paragraph">Copy and complete the following table.</div><div class="table-container"><table style="table-layout: fixed; width: 600px;"><colgroup><col style="width: 150px;"><col style="width: 150px;"><col style="width: 150px;"><col style="width: 150px;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"><p><strong>Amount collected ($\$w$)</strong></p></th><th style="text-align: center; --cell-justify: center"><p><strong>Mid-value, $x$</strong></p></th><th style="text-align: center; --cell-justify: center"><p><strong>Frequency, $f$</strong></p></th><th style="text-align: center; --cell-justify: center"><p><strong>$fx$</strong></p></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center"><p>$0&lt;w\le 20$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$20&lt;w\le 40$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$40&lt;w\le 60$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$60&lt;w\le 80$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$80&lt;w\le 100$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"><p>$\sum f=$</p></td><td style="text-align: left; --cell-justify: flex-start"><p>$\sum fx=$</p></td></tr></tbody></table></div></li><li><div class="list-item-paragraph">Estimate the mean amount of money collected by each of the $30$ scouts.</div></li><li><div class="list-item-paragraph">State the class interval which contains the median.</div></li></ol>

In the recent Job Week carried out by a group of $30$ scouts, the amount of money collected are shown in the table below.

<p><strong>Amount collected ($\$w$)</strong></p>

Mean and Standard Deviation for Grouped Data

Scouts’ Earnings in Job Week: Mean and Median Class

<p>The thickness of $50$ magazines from a bookstore measured in cm (correct to $2$ significant figures) are given in the table below.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 620px;"><colgroup><col style="width: 12.9032%;"><col style="width: 14.5161%;"><col style="width: 14.5161%;"><col style="width: 14.5161%;"><col style="width: 14.5161%;"><col style="width: 14.5161%;"><col style="width: 14.5161%;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"><p><strong>Thickness, $x$ (cm)</strong></p></th><th style="text-align: center; --cell-justify: center"><p>$0.50\le x&lt;0.52$</p></th><th style="text-align: center; --cell-justify: center"><p>$0.52\le x&lt;0.54$</p></th><th style="text-align: center; --cell-justify: center"><p>$0.54\le x&lt;0.56$</p></th><th style="text-align: center; --cell-justify: center"><p>$0.56\le x&lt;0.58$</p></th><th style="text-align: center; --cell-justify: center"><p>$0.58\le x&lt;0.60$</p></th><th style="text-align: center; --cell-justify: center"><p>$0.60\le x&lt;0.62$</p></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center"><p><strong>Frequency</strong></p></td><td style="text-align: center; --cell-justify: center"><p>$6$</p></td><td style="text-align: center; --cell-justify: center"><p>$8$</p></td><td style="text-align: center; --cell-justify: center"><p>$12$</p></td><td style="text-align: center; --cell-justify: center"><p>$11$</p></td><td style="text-align: center; --cell-justify: center"><p>$7$</p></td><td style="text-align: center; --cell-justify: center"><p>$6$</p></td></tr></tbody></table></div></div>
<ol class="abc-list"><li data-list-item-id="item-1765426513651-9bmc9rpdv" data-list-item-path="item-1765426513651-9bmc9rpdv"><div class="list-item-paragraph">State the median class.</div></li><li data-list-item-id="item-1765426514334-9eu0q8ue6" data-list-item-path="item-1765426514334-9eu0q8ue6"><div class="list-item-paragraph">State the modal class.</div></li><li data-list-item-id="item-1765426516216-t7discddj" data-list-item-path="item-1765426516216-t7discddj"><div class="list-item-paragraph">Fill in the frequency table below.</div><div class="table-container"><table style="width: 100%;"><thead><tr><th style="text-align: center; --cell-justify: center"><p><strong>Thickness, $x$ (cm)</strong></p></th><th style="text-align: center; --cell-justify: center"><p><strong>$f$</strong></p></th><th style="text-align: center; --cell-justify: center"><p><strong>Mid-Value ($x$)</strong></p></th><th style="text-align: center; --cell-justify: center"><p><strong>$fx$</strong></p></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center"><p>$0.50\le x&lt;0.52$</p></td><td style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$0.52\le x&lt;0.54$</p></td><td style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$0.54\le x&lt;0.56$</p></td><td style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$0.56\le x&lt;0.58$</p></td><td style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$0.58\le x&lt;0.60$</p></td><td style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$0.60\le x&lt;0.62$</p></td><td style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p><strong>Total</strong></p></td><td style="text-align: center; --cell-justify: center"></td><td style="text-align: center; --cell-justify: center"><p><strong>Total</strong></p></td><td style="text-align: center; --cell-justify: center"></td></tr></tbody></table></div></li><li data-list-item-id="item-1765426689742-qvdgirlov" data-list-item-path="item-1765426689742-qvdgirlov"><div class="list-item-paragraph">Estimate the mean thickness of the magazines.</div></li></ol>

The thickness of $50$ magazines from a bookstore measured in cm (correct to $2$ significant figures) are given in the table below.

<p><strong>Thickness, $x$ (cm)</strong></p>

Magazine Thickness: Median Class, Modal Class, and Mean Estimate

<p>The following numbers are the number of words in each line from a page of an article.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 500px;"><colgroup><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"><p>$8$</p></th><th style="text-align: center; --cell-justify: center"><p>$8$</p></th><th style="text-align: center; --cell-justify: center"><p>$12$</p></th><th style="text-align: center; --cell-justify: center"><p>$11$</p></th><th style="text-align: center; --cell-justify: center"><p>$14$</p></th><th style="text-align: center; --cell-justify: center"><p>$9$</p></th><th style="text-align: center; --cell-justify: center"><p>$11$</p></th><th style="text-align: center; --cell-justify: center"><p>$7$</p></th><th style="text-align: center; --cell-justify: center"><p>$8$</p></th><th style="text-align: center; --cell-justify: center"><p>$13$</p></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center"><p>$6$</p></td><td style="text-align: center; --cell-justify: center"><p>$12$</p></td><td style="text-align: center; --cell-justify: center"><p>$11$</p></td><td style="text-align: center; --cell-justify: center"><p>$5$</p></td><td style="text-align: center; --cell-justify: center"><p>$14$</p></td><td style="text-align: center; --cell-justify: center"><p>$10$</p></td><td style="text-align: center; --cell-justify: center"><p>$13$</p></td><td style="text-align: center; --cell-justify: center"><p>$5$</p></td><td style="text-align: center; --cell-justify: center"><p>$8$</p></td><td style="text-align: center; --cell-justify: center"><p>$9$</p></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$4$</p></td><td style="text-align: center; --cell-justify: center"><p>$8$</p></td><td style="text-align: center; --cell-justify: center"><p>$14$</p></td><td style="text-align: center; --cell-justify: center"><p>$13$</p></td><td style="text-align: center; --cell-justify: center"><p>$10$</p></td><td style="text-align: center; --cell-justify: center"><p>$11$</p></td><td style="text-align: center; --cell-justify: center"><p>$13$</p></td><td style="text-align: center; --cell-justify: center"><p>$12$</p></td><td style="text-align: center; --cell-justify: center"><p>$13$</p></td><td style="text-align: center; --cell-justify: center"><p>$10$</p></td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-paragraph">Fill in the given frequency table.</div><div class="table-container"><table style="table-layout: fixed; width: 280px;"><colgroup><col style="width: 80px;"><col style="width: 100px;"><col style="width: 100px;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"><p><strong>$x$</strong></p></th><th style="text-align: center; --cell-justify: center"><p><strong>$f$</strong></p></th><th style="text-align: center; --cell-justify: center"><p><strong>$fx$</strong></p></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center"><p>$4$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$5$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$6$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$7$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$8$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$9$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$10$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$11$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$12$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$13$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$14$</p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center"><p><strong>Total</strong></p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr></tbody></table></div></li><li><div class="list-item-paragraph" style="margin-left: 0.5rem">Calculate the</div><ol class="i-list"><li><div class="list-item-paragraph">mean,</div></li><li><div class="list-item-paragraph">median,</div></li><li><div class="list-item-paragraph">mode.</div></li></ol></li></ol>

The following numbers are the number of words in each line from a page of an article.

Median

Frequency Table of Words per Line

<p>The data below represent the distance in km travelled by $20$ people from home to their workplace.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 500px;"><colgroup><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"><p>$11$</p></th><th style="text-align: center; --cell-justify: center"><p>$5$</p></th><th style="text-align: center; --cell-justify: center"><p>$9$</p></th><th style="text-align: center; --cell-justify: center"><p>$35$</p></th><th style="text-align: center; --cell-justify: center"><p>$43$</p></th><th style="text-align: center; --cell-justify: center"><p>$16$</p></th><th style="text-align: center; --cell-justify: center"><p>$23$</p></th><th style="text-align: center; --cell-justify: center"><p>$27$</p></th><th style="text-align: center; --cell-justify: center"><p>$21$</p></th><th style="text-align: center; --cell-justify: center"><p>$12$</p></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center"><p>$3$</p></td><td style="text-align: center; --cell-justify: center"><p>$11$</p></td><td style="text-align: center; --cell-justify: center"><p>$16$</p></td><td style="text-align: center; --cell-justify: center"><p>$5$</p></td><td style="text-align: center; --cell-justify: center"><p>$31$</p></td><td style="text-align: center; --cell-justify: center"><p>$35$</p></td><td style="text-align: center; --cell-justify: center"><p>$11$</p></td><td style="text-align: center; --cell-justify: center"><p>$23$</p></td><td style="text-align: center; --cell-justify: center"><p>$15$</p></td><td style="text-align: center; --cell-justify: center"><p>$24$</p></td></tr></tbody></table></div></div>
<ol class="i-list"><li><div class="list-item-paragraph">Complete the frequency table for the data.</div><div class="table-container"><table style="width: 100%;"><thead><tr><th style="text-align: center; --cell-justify: center"><p><strong>Distance ($d$</strong> <strong>km)</strong></p></th><th style="text-align: center; --cell-justify: center"><p>$0&lt;d\le 10$</p></th><th style="text-align: center; --cell-justify: center"><p>$10&lt;d\le 20$</p></th><th style="text-align: center; --cell-justify: center"><p>$20&lt;d\le 30$</p></th><th style="text-align: center; --cell-justify: center"><p>$30&lt;d\le 40$</p></th><th style="text-align: center; --cell-justify: center"><p>$40&lt;d\le 50$</p></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center"><p><strong>Number of people</strong></p></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr></tbody></table></div></li><li><div class="list-item-paragraph">Using the frequency table in <strong>(i)</strong>, calculate an estimate for the mean of the distance 	travelled by the $20$ people.</div></li></ol>

The data below represent the distance in km travelled by $20$ people from home to their workplace.

Grouped Data: Distance Travelled by Individuals

<p>The following data shows the number of customers across $12$ restaurants at a given moment.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 400px;"><colgroup><col style="width: 100px;"><col style="width: 100px;"><col style="width: 100px;"><col style="width: 100px;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"><p>$15$</p></th><th style="text-align: center; --cell-justify: center"><p>$15$</p></th><th style="text-align: center; --cell-justify: center"><p>$18$</p></th><th style="text-align: center; --cell-justify: center"><p>$16$</p></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center"><p>$12$</p></td><td style="text-align: center; --cell-justify: center"><p>$16$</p></td><td style="text-align: center; --cell-justify: center"><p>$16$</p></td><td style="text-align: center; --cell-justify: center"><p>$15$</p></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$13$</p></td><td style="text-align: center; --cell-justify: center"><p>$14$</p></td><td style="text-align: center; --cell-justify: center"><p>$16$</p></td><td style="text-align: center; --cell-justify: center"><p>$12$</p></td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-paragraph">Using the grid below, draw a dot diagram to represent the above data.	</div></li><li><div class="list-item-paragraph">Calculate the mean number of customers across the restaurants.</div></li><li><div class="list-item-paragraph">If the above data was presented on a pie chart, what is the size of the angle that represents the number of restaurants that have at most $14$ customers?</div></li><li><div class="list-item-paragraph">What is the probability of a restaurant having $15$ customers at a given moment?</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1765356605664-r1hvseay03d.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjUzNTY2MDU2NjQtcjFodnNlYXkwM2QucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY5NTg4NSwiZXhwIjoxNzkyNjk2MTg1fQ.nmFaYuIww2U4ozPlDkCxtvcSLBtCTeH7ZwwVboLyuy8" alt="List item image" class="aligncenter custom-width" style="max-width: min(400px, 100%); height: auto;" /></div></li></ol>

The following data shows the number of customers across $12$ restaurants at a given moment.

Number of Customers Across Restaurants

<p>The following data shows the number of hours $24$ students of a class spent studying per day.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 560px;"><colgroup><col style="width: 70px;"><col style="width: 70px;"><col style="width: 70px;"><col style="width: 70px;"><col style="width: 70px;"><col style="width: 70px;"><col style="width: 70px;"><col style="width: 70px;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"><p>$3$</p></th><th style="text-align: center; --cell-justify: center"><p>$3$</p></th><th style="text-align: center; --cell-justify: center"><p>$4$</p></th><th style="text-align: center; --cell-justify: center"><p>$6$</p></th><th style="text-align: center; --cell-justify: center"><p>$1$</p></th><th style="text-align: center; --cell-justify: center"><p>$4$</p></th><th style="text-align: center; --cell-justify: center"><p>$0$</p></th><th style="text-align: center; --cell-justify: center"><p>$2$</p></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center"><p>$3$</p></td><td style="text-align: center; --cell-justify: center"><p>$1$</p></td><td style="text-align: center; --cell-justify: center"><p>$0$</p></td><td style="text-align: center; --cell-justify: center"><p>$4$</p></td><td style="text-align: center; --cell-justify: center"><p>$5$</p></td><td style="text-align: center; --cell-justify: center"><p>$4$</p></td><td style="text-align: center; --cell-justify: center"><p>$5$</p></td><td style="text-align: center; --cell-justify: center"><p>$6$</p></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>$0$</p></td><td style="text-align: center; --cell-justify: center"><p>$3$</p></td><td style="text-align: center; --cell-justify: center"><p>$2$</p></td><td style="text-align: center; --cell-justify: center"><p>$0$</p></td><td style="text-align: center; --cell-justify: center"><p>$3$</p></td><td style="text-align: center; --cell-justify: center"><p>$0$</p></td><td style="text-align: center; --cell-justify: center"><p>$3$</p></td><td style="text-align: center; --cell-justify: center"><p>$3$</p></td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-paragraph">Using the grid below, draw a dot diagram to represent the above data.	</div></li><li><div class="list-item-paragraph">Calculate the mean number of hours the students spent studying.</div></li><li><div class="list-item-paragraph">If the above data was presented on a pie chart, what is the size of the angle that represents the number of students who study at least $3$ hours a day?</div></li><li><div class="list-item-paragraph">What is the probability of a student studying $4$ hours a day?	</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1765353365573-827m1wboxzo.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjUzNTMzNjU1NzMtODI3bTF3Ym94em8ucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY5NTg4NSwiZXhwIjoxNzkyNjk2MTg1fQ.m2i6DkjRCZpwpVfhzUmPQkIzSv3tpttQDQi1fhNJTtc" alt="List item image" class="aligncenter custom-width" style="max-width: min(400px, 100%); height: auto;" /></div></li></ol>

Finding The Mean From A Dot Diagram

<p>The amount of pocket money $24$students get daily is given below.</p>
<div class="content-block content-block--table"><div class="table-container"><table><thead><tr><th style="text-align: left; --cell-justify: flex-start">$7$</th><th style="text-align: left; --cell-justify: flex-start">$5$</th><th style="text-align: left; --cell-justify: flex-start">$8$</th><th style="text-align: left; --cell-justify: flex-start">$10$</th><th style="text-align: left; --cell-justify: flex-start">$6$</th><th style="text-align: left; --cell-justify: flex-start">$8$</th><th style="text-align: left; --cell-justify: flex-start">$10$</th><th style="text-align: left; --cell-justify: flex-start">$9$</th><th style="text-align: left; --cell-justify: flex-start">$7$</th><th style="text-align: left; --cell-justify: flex-start">$7$</th><th style="text-align: left; --cell-justify: flex-start">$9$</th><th style="text-align: left; --cell-justify: flex-start">$10$</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">$4$</td><td style="text-align: left; --cell-justify: flex-start">$10$</td><td style="text-align: left; --cell-justify: flex-start">$7$</td><td style="text-align: left; --cell-justify: flex-start">$7$</td><td style="text-align: left; --cell-justify: flex-start">$4$</td><td style="text-align: left; --cell-justify: flex-start">$6$</td><td style="text-align: left; --cell-justify: flex-start">$7$</td><td style="text-align: left; --cell-justify: flex-start">$6$</td><td style="text-align: left; --cell-justify: flex-start">$8$</td><td style="text-align: left; --cell-justify: flex-start">$5$</td><td style="text-align: left; --cell-justify: flex-start">$8$</td><td style="text-align: left; --cell-justify: flex-start">$6$</td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-paragraph">Complete the table below.</div><div class="table-container"><table><thead><tr><th style="text-align: left; --cell-justify: flex-start">Amount of Pocket Money ($)</th><th style="text-align: left; --cell-justify: flex-start">Tally</th><th style="text-align: left; --cell-justify: flex-start">Frequency</th></tr></thead><tbody><tr><td style="text-align: left; --cell-justify: flex-start">$4$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">$5$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">$6$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">$7$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">$8$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">$9$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: left; --cell-justify: flex-start">$10$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr></tbody></table></div></li><li><div class="list-item-paragraph">Draw a line graph on the axes provided to illustrate the distribution.</div></li><li><div class="list-item-paragraph">What is the most common amount of pocket money the students get?</div></li><li><div class="list-item-paragraph">Calculate the total amount of pocket money the students get.</div></li></ol>

The amount of pocket money $24$students get daily is given below.

Line Graphs

Line Graph of Students’ Daily Pocket Money

<p>In a spelling test, the number of mistakes made by each of the $40$ pupils in a Primary One class is given below:</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 500px;"><colgroup><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"></colgroup><thead><tr style="height: 23px;"><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$6$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$0$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$2$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$2$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$5$</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</th></tr></thead><tbody><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$6$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$2$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$2$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$1$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$5$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$0$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$5$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$2$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$0$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$2$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$6$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$1$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$0$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$2$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$5$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$1$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$0$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$4$</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">$3$</td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-paragraph">Complete the frequency table below.</div><div class="table-container"><table style="width: 100%;"><thead><tr><th style="text-align: center; --cell-justify: center">No. of mistakes ($n$)</th><th style="text-align: center; --cell-justify: center">Tally</th><th style="text-align: center; --cell-justify: center">No. of pupils ($f$)</th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center">$0$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center">$1$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center">$2$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center">$3$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: center; --cell-justify: center">$10$</td></tr><tr><td style="text-align: center; --cell-justify: center">$4$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center">$5$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center">$6$</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: left; --cell-justify: flex-start"></td></tr><tr><td style="text-align: center; --cell-justify: center">Total</td><td style="text-align: left; --cell-justify: flex-start"></td><td style="text-align: center; --cell-justify: center">$40$</td></tr></tbody></table></div></li><li><div class="list-item-paragraph">Draw a line graph to illustrate the data. </div></li><li><div class="list-item-paragraph">What is the most common number of mistakes?</div></li><li><div class="list-item-paragraph">What is the total number of mistakes made?</div></li></ol>

In a spelling test, the number of mistakes made by each of the $40$ pupils in a Primary One class is given below:

Data Handling: Mistakes in a Spelling Test

<p>In a traffic survey, the number of passengers in each car passing a traffic junction was recorded.  </p>
<p>The results are displayed in the bar graph below.</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1764409498059-3rb0n8q6iwp.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjQ0MDk0OTgwNTktM3JiMG44cTZpd3AucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MjY5NTg4NSwiZXhwIjoxNzkyNjk2MTg1fQ.tbpdZK4US6-PvG0CpoFZ6-MdClzPyqMooa_s_Gkg-kk" style="max-width: min(450px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<ol class="abc-list"><li><div class="list-item-paragraph">Complete the bar graph above if there were $20$ cars passing the traffic junction.</div></li><li><div class="list-item-paragraph">Calculate the total number of passengers recorded.</div></li><li><div class="list-item-paragraph">Express the number of cars with at least $3$ passengers as a fraction of the total number 	of cars in its simplest form.</div></li></ol>

In a traffic survey, the number of passengers in each car passing a traffic junction was recorded.  

The results are displayed in the bar graph below.

Math Question Bank