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Worksheet: Finding the Outliers of a Data Set

In this worksheet, we will practice finding the outliers of a data set and determining a value that is far from the other values in the 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?

Q11:

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 a cluster from 7 to 20.
  • DThe distribution has an outlier at 6.
  • EThe distribution is symmetric.

Q12:

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
  • Bno outliers
  • C 1 410 000
  • D 37 580 000
  • E 163 200, 37 580 000

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