Chapter 11.2, Problem 2E

To determine

Find the solution.

Answer to Problem 2E

Difference between the greatest and least value is different from all others.

Explanation of Solution

Given Information: Box-and-whisker plot

Formula Used: Interquartile Range= $Q_3-Q_1$ , Difference = Greatest value − Least value

Calculation:

A box and whisker plot shows five-number summary of a set of data-minimum, maximum, lower quartile, upper quartile, median and range.

  

From the diagram,

Interquartile Range= $Q_3-Q_1$

So,

Interquartile Range= $20-11$

Hence,

Interquartile Range= $9$

Range of middle half of the data= $20-11$

Hence,

Range of middle half of the data= $9$

• Greatest value=25, Least value=0

Difference = Greatest value− Least value

So,

Difference= $25-0$

Hence,

Difference= $25$

• First quartile=11,Third quartile=20

ifference = Third Quartile − First Quartile

So,

Difference= $20-11$

Hence,

Difference= $9$

Hence,

Difference between the greatest and least value is different from all others.