Worksheet: Finding the Outliers of a Data Set

In this worksheet, we will practice finding the outliers of a data set and determining values that are significantly far from the other values in the data set.

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.

AThere are no outliers.
B174
C31
D31, 174
E70

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.

A9.5, 60.2
B60.2
C9.5
Dno outliers
E31.3

Q5:

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

A28, 29, 34, 23, 34, 20, 35, 39
B1, 8, 11, 10, 7, 10, 10, 45
C9, 25, 22, 24, 25, 24, 33, 54
D25, 24, 22, 54, 9, 33, 25, 22
E30, 35, 34, 23, 22, 35, 40, 83

Q6:

The numbers of matches won by 12 teams in the national league are 11, 5, 6, 6, 9, 10, 19, 14, 11, 9, 9, and 6. Is it true or false that 19 is an outlier of the data?

Atrue
Bfalse

Q7:

Are the goals scored by the outlier more or fewer than the combined goals of Daniel and James?

Player	William	Jacob	Matthew	Anthony	James	Daniel	Mason	Benjamin
Goals	8	8	11	9	3	13	11	10

Aless
Bmore

Q8:

The table shows the heights of the tallest buildings in a city. Find, if there are any, the outliers of the data.

607	630	762	685	714	561
678	662	550	901	502	725

AThe outlier is 502.
BThe outliers are 502 and 901.
CThe outlier is 901.
DThere are no outliers.

Q9:

The bar graph shows the prices of six different kitchen gadgets. Identify the outlier, and then find the mean of the data if the outlier is not included.

A$197.00, $169.00
B$22.00, $150.17
C$197.00, $140.80
D$22.00, $175.80
E$22.00, $146.50

Q10:

The bar graph shows the prices of six different jackets. Which price is an outlier?