Chapter 1, Problem 7PT

To determine

To find: the third quartile of the score distribution

Answer to Problem 7PT

The third quartile of the score distribution is 44

Explanation of Solution

Given:

0	28
1	2245
2	1333358889
3	1356679
4	22444466788
5	0

Calculation:

The position of the third quartile will be calculated as follows:

  $\begin{array}{l}{Q}_3=\frac{3\times 40}{4}\\ ={30}^{\text{th }}\end{array}$

From the score distribution stem plot we can say that the third quartile or the ${30}^{\text{th }}$ score of the score distribution is equal to 44

Hence, option (b) iscorrect

Conclusion:

Therefore, the third quartile of the score distribution is 44