Statistics - Interpreting and Evaluating Statistical Representations

Statistics - Interpreting and Evaluating Statistical Representations

IP 1
6 marks

The table shows the time \(30\) students spent reading on one evening.

Reading time, \(t\) (minutes)Frequency
\(0<t\leq10\)\(4\)
\(10<t\leq20\)\(12\)
\(20<t\leq30\)\(8\)
\(30<t\leq40\)\(6\)
  1. Find the number of students who read for more than \(20\) minutes.

    [1]
  2. Can the exact number of students who read for more than \(15\) minutes be determined? Explain your answer and find the least and greatest possible numbers.

    [3]
  3. The data are regrouped into two classes: \(0<t\leq20\) and \(20<t\leq40\).

    State the frequency of each new class and identify the new modal class.

    [2]

Solution:

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Answer:(a) \(14\) (b) No; least \(14\), greatest \(26\) (c) Frequencies \(16,14\); modal class \(0<t\leq20\)

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