Worksheet: 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:

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

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