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Lesson: Outliers of a Data Set

In this lesson, we will learn how to find the outliers of a data set and determine a value that is far from the other values in the set.

Sample Question Videos

03:11
00:36
02:38

Worksheet • 12 Questions • 3 Videos

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.

  • A31, 174
  • B70
  • C174
  • D31
  • 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.

  • Ano outliers
  • B31.3
  • C60.2
  • D9.5
  • E9.5, 60.2

Q4:

Which of the following sets of data has an interquartile range of 7 and two outliers?

  • A25, 24, 22, 54, 9, 33, 25, 22
  • B30, 35, 34, 23, 22, 35, 40, 83
  • C1, 8, 11, 10, 7, 10, 10, 45
  • D9, 25, 22, 24, 25, 24, 33, 54
  • E28, 29, 34, 23, 34, 20, 35, 39

Q5:

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

Q6:

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

Q7:

Are the goals scored by the outlier more or fewer than the combined goals of Fares and Ramy?

Player Nabil Bassem Sameh Shady Ramy Fares Nader Maged
Goals 8 8 11 9 3 13 11 10
  • Amore
  • Bless

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
  • AThere are no outliers.
  • BThe outliers are 502 and 901.
  • CThe outlier is 901.
  • DThe outlier is 502.

Q9:

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

Q10:

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

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

Q11:

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 37,580,000
  • B 163,200, 37,580,000
  • Cno outliers
  • D 1,410,000
  • E 163,200

Q12:

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