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Mean, Median, Mode, and Range

Dr. Craig Waddell

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Measures of Central Tendency

Circle the measures of central tendency below. (Hint: There are only 3 measures of central tendency.)

Mean

Median

Mode

Range

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What’s an outlier?

outlier

out-   �pref.  In a way that surpasses, exceeds, or goes beyond: outdistance.�

-er   �suff. One that undergoes a specified action: broiler.

lie �verb.  to be found or located in a particular area or place: The fault lies here.

–noun 1. a person or thing that lies outside.

number

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Find the outlier(s)

  1. 12, 22, 40, 17, 29, 72, 38
  2. 90, 80, 75, 7, 67, 82
  3. 101, 210, 184, 18, 156, 989, 204

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Matching!

Mean

Range

Mode

Median

Middle

Most

Difference

Average

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Problem 1

Student

Ages

Andrew

13

Ansley

10

Jackson

7

Tyler

6

Hannah

14

Mean = 10

Median = 10

Mode = none

Range = 8

Find the mean, median, mode, and range

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Snowfall in Inches

2 6 5 4

3 0 1

Mean

3 inches

Median

3 inches

Mode

none

Range

6 inches

Problem 2

Find the mean, median, mode, and range

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  • Quiz Grades�72 60 80 68

72 86

Mean

73

Median

72

Mode

72

Range

26

Problem 3

Find the mean, median, mode, and range

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Problem 3

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Problem 4

Find the mean:

10 12 10 18 100

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Problem 4

Find the mean:

10 12 10 18 100

Mean = 30

Median = 12

Mode = 10

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If I said to you, “The average pay at this company is $30 an hour”

Would you work here?

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What if I said, “The average pay at this company is $12 an hour” ….

Would you work here?

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What if I said, “The average pay at this company is $10 an hour” ….

Would you work here?

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One outlier can really change the mean

But it has no effect on the mode or the median

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Summary of the Measures of Central Tendency

Measures of Central Tendency

Best used to describe data when…

Mean

Median

Mode

The data has no outliers

The data has outliers

The data has many repeated numbers