Twenty students were randomly selected from a business statistics course and were asked to report the number of times that they had eaten a meal at the university's cafeteria within the past month. Below are the values reported:
7, 8, 10, 11, 8, 6, 10, 9, 9, 8, 13, 12, 8, 11, 11, 14, 8, 7, 10, 12

-What is the third quartile?
A)7
B)10.35
C)12.1
D)11
E)8

Question

Twenty students were randomly selected from a business statistics course and were asked to report the number of times that they had eaten a meal at the university's cafeteria within the past month. Below are the values reported:
7, 8, 10, 11, 8, 6, 10, 9, 9, 8, 13, 12, 8, 11, 11, 14, 8, 7, 10, 12

-What is the third quartile?
A)7
B)10.35
C)12.1
D)11
E)8

Quizplus · Accepted Answer

The third quartile (Q3) is the median of the upper half of the data set. First, arrange the data in ascending order: 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 13, 14. With 20 data points, Q3 is the average of the 15th and 16th values, which are both 11. Therefore, the third quartile is 11.

Twenty Students Were Randomly Selected from a Business Statistics Course