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Lesson: Finding the Outliers of a Data Set

In statistics, an outlier is a data point that significantly differs from other data points in a sample. In this lesson, we will learn how to find the outliers of a data set and determine a value that is far from the other values in the set.

Worksheet: Finding the Outliers of a Data Set • 13 Questions

Q1:

Determine the outlier of the following data: 16, 16, 15, 18, 15, 15, 56.

Q2:

Determine the outlier of the following data: 10, 17, 9, 15, 11, 68, 7.

Q3:

Find all possible outliers for the following set of data: 108, 31, 75, 87, 79, 88, 89, 118, 51, 89, 174, 95, 51, 70, and 73.

A70
B31
C31, 174
DThere are no outliers.
E174

Q4:

Find all the outliers, if there are any, in the following set of data: 31.9, 44.2, 31.3, 48.7, 23.4, 35.5, 34.5, 26.5, 41.6, 9.5, 60.2, 52.9, 46.1, 41.8, 51.3.

A31.3
B9.5
Cno outliers
D9.5, 60.2
E60.2

Q5:

Which of the following sets of data has an interquartile range of 7 and two outliers?

A30, 35, 34, 23, 22, 35, 40, 83
B9, 25, 22, 24, 25, 24, 33, 54
C25, 24, 22, 54, 9, 33, 25, 22
D28, 29, 34, 23, 34, 20, 35, 39
E1, 8, 11, 10, 7, 10, 10, 45

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