Chapter 12.4, Problem 1STP

Solve each exercise and enter your answer on the grid provided.

During the eight-game regular season, a running back ran the football for 125, 82,105,155,98,68, 111, and 95 yards. What is the third quartile of the data set?

To determine

Find the third quartile of the given data.

Answer to Problem 1STP

The third quartile is 118

Explanation of Solution

Given:

The data is :

125 , 82 , 105 , 155 , 98 , 68 , 111 , 95

Calculation: ,

Arrange the data in ascending order:

68 , 82 , 95 , 98 , 105 , 111 , 125 , 155

The third quartile is the median of the upper half of the data set.

Since the total entries are 8, which is even , So, the upper half is the last $\frac{8}{2}=4$ entries.

So , the third quartile is $\frac{111+125}{2}=118$