Worksheet: Outliers of a Data Set

Q1:

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

Q2:

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.

A174
B31
C70
D31, 174
EThere are no outliers.

Q3:

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
D31.3
Eno outliers

Q4:

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

Q5:

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

Q6:

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

Q7:

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 .
BThe outlier is 502 .
CThere are no outliers.
DThe outliers are 502 and 901 .

Q8:

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

Q9:

Which of the statements is correct for the distribution represented by the diagram?

AThe distribution has a peak at 22.
BThe distribution has a gap from 21 to 29.
CThe distribution has an outlier at 6.
DThe distribution is symmetric.
EThe distribution has a cluster from 7 to 20.

Q10:

The table shows the number of speakers of some non-English languages in the US. Identify all possible outliers.

Language	Bengali	Thai	Persian	Vietnamese	Spanish	Nepali	German	Hebrew
Number of Speakers	800,000	163,200	407,600	1,410,000	37,580,000	185,145	1,080,000	216,300

A163,200
B37,580,000
Cno outliers
D1,410,000
E163,200, 37,580,000

Q11:

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

Q12:

Why might it be preferable to use the interquartile range, rather than the range, as a measure of spread for this data set?

7

8

14

12

10

45

11

16

10

ANone of the data is less than 7.
BThe high value of 45 may be an outlier.
CThe data points are clustered together.
DIt is easier to calculate.
EThe data is symmetric.

Q13:

State if this is true or false: The value 48 is an outlier.

Atrue
Bfalse

Q14:

The table below shows the number of messages exchanged on the smart phones of 14 students over a single month. The data have also been plotted in a dot plot.

Are there any outliers in this data set? If so, specify the value or values of these outliers.

AThere is one outlier in the data: 9,754.
BThere is one outlier in the data: 4,542.
CThere are two outliers in the data: 2,830 and 9,754.
DThere is one outlier in the data: 2,830.
EThere are no outliers in the data.