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 value of Q3. 81, 79, 77, 81, 81, 81, 76, 82, 82, 82, 83, 75, 79, 74.
A)10.5
B)77
C)82
D)83
E)85.5

Question

Quizplus · Accepted Answer

To find the third quartile (Q3), first, we need to arrange the data in ascending order: 74, 75, 76, 77, 79, 79, 81, 81, 81, 81, 82, 82, 82, 83. Since there are 14 data points, Q3 is the value that separates the highest 25% of the data from the rest. The third quartile position can be found using the formula: $Q3 = \frac{3(n+1)}{4}$, where n is the number of data points. For 14 data points, $Q3 = \frac{3(14+1)}{4} = \frac{45}{4} = 11.25$. This means Q3 is between the 11th and 12th data point. In this ordered list, both the 11th and 12th data points are 82, so Q3 is 82.

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