Worksheet: Outliers of a Data Set

In this worksheet, we will practice identifying outliers from 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?

PlayerWilliamJacobMatthewAnthonyJamesDanielMasonBenjamin
Goals881193131110
  • 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.

607630762685714561
678662550901502725
  • 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.

LanguageBengaliThaiPersianVietnamese SpanishNepaliGermanHebrew
Number of Speakers800,000163,200407,6001,410,00037,580,000185,1451,080,000216,300
  • 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?

7814121045111610
  • 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.

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