1. The number of customers in a restaurant during the peak hour of each day for a month varied significantly from day to day. Here are pieces of the data on the number of customers served
during the peak hour of each business day:
3 Lowest
25, 32, 37
Q1
45
Mean
48
Median
50
Q3
58
3 highest
69, 70, 75
(a) Are there any outliers in the data set? Justify your answer numerically

Step-by-step explanation:

First we must calculate the interquartile range (IQR), using this equation:

Based on the information provided we fill in:

In order to find what the range for the data set is we need to use the Interquartile Rule:

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×

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Now we plugin in:

Any number below 25.5 is a possible outlier and any number above 77.5 is a possible outlier.  

Based on the results of the calculations, 25 could be a possible outlier in the data set.

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