Question

it wont let me load the image in . Create a box plot with the following data:574, 526, 512, 579, 595, 517, 524, 552, 558, 541

Answer 1

Step 1

Given; 574, 526, 512, 579, 595, 517, 524, 552, 558, 541

Required; To create a box plot

Step 2

Arrange in ascending order

$512,\:517,\:524,\:526,\:541,\:552,\:558,\:574,\:579,\:595$

Find the lower quartile

$\begin{gathered} \mathrm{The\:first\:quartile\:is\:computed\:by\:taking\:the\:median\:of\:the\:lower\:half\:of\:a\:sorted\:set.} \\ 524 \end{gathered}$

Find the upper quartile

$\begin{gathered} The\:third\:quartile\:is\:computed\:by\:taking\:the\:median\:of\:the\:higher\:half\:of\:a\:sorted\:set \\ 574 \end{gathered}$

The median is the middle number of the entire data

$=\frac{541+552}{2}=546.5$

The maximum and minimum values are;

$595\text{ and 512 respectively}$