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.

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

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:

The table shows the daily temperatures in a week. Identify the outlier, and then find, to two decimal places, the mean of the data without including the outlier.

Day	Saturday	Sunday	Monday	Tuesday	Wednesday	Thursday	Friday
Temperature in Fahrenheit	73	45	79	67	69	74	71

Aoutlier: , mean:
Boutlier: , mean:
Coutlier: , mean:
Doutlier: , mean:
Eoutlier: , mean:

Q8:

Are the goals scored by the outlier more or fewer than the combined goals of Steve and Russell?

Player	Terry	Ryan	Carlos	Sam	Russell	Steve	Eric	Billy
Goals	8	8	11	9	3	13	11	10

Aless
Bmore

Q9:

The average wind speeds at several stations are recorded in the table. Find any outliers in the data.

Station	Mt. Washington, NH	Buffalo, NY	Lexington, KY	Boston, MA	Pittsburgh, PA	Detroit, MI	Phoenix, AZ
Speed (mph)	40.4	12.3	10.6	10.5	10	9.7	5.3

AThere are no outliers.
BThe outliers are 5.3 and 40.4.
CThe outlier is 40.4.
DThe outlier is 5.3.

Q10:

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 901.
BThere are no outliers.
CThe outlier is 502.
DThe outliers are 502 and 901.

Q11:

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

Q12:

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