The heights in inches of the 14 players listed on the Chicago Bulls roster for the 2013-14 season are shown below (NBA.com).Find the interquartile range. 81, 79, 77, 81, 81, 81, 76, 82, 82, 82, 83, 75, 79, 74.
A)1
B)5
C)7.5
D)9
E)11.4

Question

Quizplus · Accepted Answer

5First, we need to order the heights from smallest to largest: 74, 75, 76, 77, 79, 79, 81, 81, 81, 81, 82, 82, 82, 83. The median (or second quartile) splits the data into two halves. For 14 data points, the median is the average of the 7th and 8th values, which are both 81. The first quartile (Q1) is the median of the lower half (excluding the overall median if the number of data points is odd), so it's the average of the 3rd and 4th values: (76 + 77)/2 = 76.5. The third quartile (Q3) is the median of the upper half, so it's the average of the 10th and 11th values: (81 + 82)/2 = 81.5. The interquartile range (IQR) is Q3 - Q1, which is 81.5 - 76.5 = 5.

The Heights in Inches of the 14 Players Listed on the Chicago