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

`=(541+552)/(2)=546.5`

The maximum and minimum values are;

`595\text{ and 512 respectively}`