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 first 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 first quartile?
A)7
B)10.35
C)12.1
D)11
E)8

Quizplus · Accepted Answer

The first quartile (Q1) is the median of the lower half of the data. 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, Q1 is the median of the first 10 numbers. The 5th and 6th numbers are both 8, so the first quartile is 8.

Twenty Students Were Randomly Selected from a Business Statistics Course