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.

A70
B174
C31, 174
DThere are no outliers.
E31

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.

Ano outliers
B9.5
C9.5, 60.2
D31.3
E60.2

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?

Afalse
Btrue

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

Amore
Bless

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

AThere are no outliers.
BThe outlier is 901 .
CThe outlier is 502 .
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 gap from 21 to 29.
BThe distribution has an outlier at 6.
CThe distribution has a cluster from 7 to 20.
DThe distribution has a peak at 22.
EThe distribution is symmetric.

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

A 163,200, 37,580,000
B 163,200
C 1,410,000
D 37,580,000
Eno outliers

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

AThe high value of 45 may be an outlier.
BNone of the data is less than 7.
CIt is easier to calculate.
DThe data is symmetric.
EThe data points are clustered together.

Q13:

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

Atrue
Bfalse