In a statistic class, 10 scores were randomly selected with the following results were obtained:
74, 73, 77, 77, 71, 68, 65, 77, 67, 66

-What are the inner fences?
A)15.375,30.75
B)82.125,92.375
C)97.50,107.75
D)52.00,92.00
E)35.95,107.75

Question

In a statistic class, 10 scores were randomly selected with the following results were obtained:
74, 73, 77, 77, 71, 68, 65, 77, 67, 66

-What are the inner fences?
A)15.375,30.75
B)82.125,92.375
C)97.50,107.75
D)52.00,92.00
E)35.95,107.75

Quizplus · Accepted Answer

The 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: 65, 66, 67, 68, 71, 73, 74, 77, 77, 77, Q1 = 67.5, Q3 = 77, IQR = 9.5. Thus, the inner fences are 67.5 - 1.5*9.5 = 52 and 77 + 1.5*9.5 = 92.

In a Statistic Class, 10 Scores Were Randomly Selected with the Following