Chapter 11.7, Problem 38E

To determine

To draw a box-and-whisker plot of the data.

Explanation of Solution

Given information:

Temperature :30,35,38,28,41,30,40,37,40

Graph:

To display the data given above in a box-and-whisker plot, first order the data to find the median, the quartiles, and the extremes.

The order of data from least to greatest is:

28,30,30,35,37,38,40,40,41

Median $=37$

  $\stackrel{\text{lower half}}{\overbrace{28\text{ 30 30 35}}}\stackrel{\text{median}}{\overbrace{37}}\stackrel{\text{upper half}}{\overbrace{\text{38 40 40 41}}}$

Lower quartile $=30$

Upper quartile $=40$

Plot the median, the quartiles, and the extremes below a number line

Draw a box from the lower quartile to the upper quartile. Then draw a vertical line through the median and draw a horizontal line from the box to each of the extremes.