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 are the inner fences?
A)17,20
B)3.5,15.5
C)12.5,15.5
D)-1,20
E)4.5,9.0

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 are the inner fences?
A)17,20
B)3.5,15.5
C)12.5,15.5
D)-1,20
E)4.5,9.0

Quizplus · Accepted Answer

Inner fences are calculated using the formula: Q1 - 1.5*IQR and Q3 + 1.5*IQR, where Q1 is the first quartile, Q3 is the third quartile, and IQR is the interquartile range (Q3-Q1). For the given data, after sorting: 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 13, 14, Q1 = 8, Q3 = 11, IQR = 3. Thus, the inner fences are 8 - 1.5*3 = 4.5 and 11 + 1.5*3 = 15.5.

Twenty Students Were Randomly Selected from a Business Statistics Course