Chapter 12.4, Problem 20PPE

To determine

To find: The difference between range and interquartile range.

Explanation of Solution

Given information:

Need to explain the difference between range and interquartile range.

Calculation:

Quartiles are the value which divided a data set into four equal parts. Median represents second quartile $\left(Q_2\right)$ and divided data set into two equal halves. First quartile $\left(Q_1\right)$ is the median of lower half of data and third quartile $\left(Q_3\right)$ is the median of upper half of data set.

Range is the difference between minimum and maximum values in a data set, while interquartile range is the difference between third quartile $\left(Q_3\right)$ and first quartile $\left(Q_1\right)$ .

A box-and-whisker plot is shown below. The box portion of the plot represents interquartile range.