Question

The batting averages for seven baseball players are listed below. 0.176, 0.235, 0.272, 0.158, 0.201, 0.255, 0.303 What is the interquartile range of the batting averages?

Answer 1

Answer:

Interquartile Range= 0.079.

Step-by-step explanation:

Given,

The batting averages for seven baseball players are

0.176, 0.235, 0.272, 0.158, 0.201, 0.255, 0.303

First we have arrange the data in descending order or ascending order.

The ascending order of the data is

0.158, 0.176, 0.201, 0.235, 0.255, 0.272, 0.303

Median: The middle term of the data is the median of the data.

Here

Median = 0.235

First quartile: The median of the lower half of data.

The lower half of the data is 0.158, 0.176, 0.201

$Q_1=0.176$

Third quartile: The median of the upper half of data.

The upper half of the data is 0.201, 0.255, 0.303

$Q_3=0.255$

Interquartile: The difference between first quartile and third quartile.

Interquartile Range = $Q_3-Q_1$

                                  =(0.255- 0.176)

                                  =0.079