the data set below represents the total number of home runs that a baseball player hit each season for 11…

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\n12\n16\n22\n28

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\n12\n16\n22\n28

Answer

Explanation:

Step1: Sort the data

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

Step2: Find the median (Q2)

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

Step3: Find the lower half

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

Step4: Find the upper half

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

Step5: Calculate the inter - quartile range (IQR)

$IQR=Q3 - Q1=28 - 16 = 12$

Answer:

12