Question

the data set below represents the total number of home runs that a baseball player hit each season for 11 seasons of play. what is the interquartile range of the data? 14, 22, 19, 21, 30, 32, 25, 15, 16, 27, 28

Explanation:

Step1: Arrange data in ascending order

14, 15, 16, 19, 21, 22, 25, 27, 28, 30, 32

Step2: Find the median (Q2)

Since there are 11 data - points, the median is the 6th value. Q2 = 22.

Step3: Find Q1 (median of lower half)

The lower half is 14, 15, 16, 19, 21. The median of this set (Q1) is 16.

Step4: Find Q3 (median of upper half)

The upper half is 25, 27, 28, 30, 32. The median of this set (Q3) is 28.

Step5: Calculate the inter - quartile range (IQR)

IQR=Q3 - Q1. So, IQR = 28 - 16 = 12.

Answer:

12