The following is a sample of 19 November utility bills (in dollars) from a neighborhood.What is the largest billin the sample that would not be considered an outlier?52, 62, 66, 68, 72, 74, 76, 76, 76, 78, 78, 82, 84, 84, 86, 88, 92, 96, 110
A) $96
B) $95
C) $88
D) $86

Question

Quizplus · Accepted Answer

To determine the largest bill that would not be considered an outlier, we first need to calculate the interquartile range (IQR). The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). In this dataset:- Q1 (the median of the first half) is 72.- Q3 (the median of the second half) is 86.IQR = Q3 - Q1 = 86 - 72 = 14.An outlier is typically defined as any value below Q1 - 1.5*IQR or above Q3 + 1.5*IQR. So, the upper bound for non-outliers is:Q3 + 1.5*IQR = 86 + 1.5*14 = 86 + 21 = 107.Since $96 is the largest bill in the sample that is less than $107, it is the largest bill that would not be considered an outlier.

The Following Is a Sample of 19 November Utility Bills