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Five-Number Summary of a Data Set

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Instead of considering a data value to be an outlier if it is "very far away from most of the other data value," consider an outlier to be a value that is above Q3 by an amount greater than 1.5 X IQR or below Q1 by an amount greater than 1.5 X IQR. Use the data set given below and find the following:

a. 5-number summary
b. Interquartile range (IQR)
c. Outliers

Data Set:
2 3 4 5 7 9 14 15 15 16 19 32 50

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Solution Summary

This problem shows you how to find the five-number summary, interquartile range, and outliers of a data set.

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2 3 4 5 7 9 14 15 15 16 19 32 50

a. 5-number summary

There are 13 numbers in your list. The median is the number in the middle of the list (median = 14).

The minimum is 2 and the maximum is 50.

The first quartile will be the median in the first half ...

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