In a hearing test, subjects estimate the loudness (in decibels) of sound, and the results are;
68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68

-What are the inner fences?
A)75.5,80.5
B)83,88
C)60.5,80.5
D)53,88
E)7.5,15

Question

In a hearing test, subjects estimate the loudness (in decibels) of sound, and the results are;
68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68

-What are the inner fences?
A)75.5,80.5
B)83,88
C)60.5,80.5
D)53,88
E)7.5,15

Quizplus · Accepted Answer

The inner fences are defined as the values that are between the lower inner fence (Q1 - 1.5*IQR) and the upper inner fence (Q3 + 1.5*IQR). The given data needs to be sorted in ascending order: 7.5, 15, 53, 75.5, 80.5, 83, 88. The IQR is then calculated as Q3-Q1 = 83-15 = 68. The lower inner fence is Q1 - 1.5*IQR = 15 - 1.5*68 = -83, which is not a valid value. The upper inner fence is Q3 + 1.5*IQR = 83 + 1.5*68 = 189. Therefore, the valid inner fences are between 60.5 and 80.5, which matches answer choice C.

In a Hearing Test, Subjects Estimate the Loudness (In Decibels)