<p>The mass \(x\) grams of each of \(90\) oranges of variety \(A\) were recorded. The data obtained was illustrated as shown in the table.</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">Mass \(x\) grams</th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">No. of oranges</th></tr></thead><tbody><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(60 &lt; x \le 70\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(1\)</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(70 &lt; x \le 80\)</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">\(80 &lt; x \le 90\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(9\)</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(90 &lt; x \le 100\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(28\)</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(100 &lt; x \le 110\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(37\)</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(110 &lt; x \le 120\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(8\)</td></tr><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(120 &lt; x \le 130\)</td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center">\(4\)</td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find the mean and standard deviation for the above data.</span></div></li><li><div class="list-item-content"><span class="list-item-text">In an another variety, variety \(B\), of the \(90\) oranges, the lightest orange has the mass \(55\) grams and the heaviest orange has the mass \(138\) grams. The median, lower quartile and upper quartile are \(102\) grams, \(93\) grams and \(109\) grams respectively. Draw the box-whisker diagram for this data.</span></div></li><li><div class="list-item-content"><span class="list-item-text">If you were to buy some oranges, which variety would you buy? Explain your answer.</span></div></li></ol>

The mass \(x\) grams of each of \(90\) oranges of variety \(A\) were recorded. The data obtained was illustrated as shown in the table.

Find the mean and standard deviation for the above data.

In an another variety, variety \(B\), of the \(90\) oranges, the lightest orange has the mass \(55\) grams and the heaviest orange has the mass \(138\) grams. The median, lower quartile and upper quartile are \(102\) grams, \(93\) grams and \(109\) grams respectively. Draw the box-whisker diagram for this data.

If you were to buy some oranges, which variety would you buy? Explain your answer.

Statistics - Mean and Standard Deviation for Grouped Data

Question 1b5f3097

Video Solution: