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Measures of Central Tendency: Mean, Median, Mode, and Midrange, Study notes of Mathematical Statistics

This instructional aid, prepared by tallahassee community college learning commons, outlines the measures of central tendency for various data sets, including mean, median, mode, and midrange. It also provides a comparison of mean, median, and mode based on data skewness.

What you will learn

  • How do skewness and symmetry affect the relationship between mean, median, and mode?
  • What are the formulas for calculating mean, median, mode, and midrange?
  • What are the measures of central tendency for the given data sets?

Typology: Study notes

2021/2022

Uploaded on 09/12/2022

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This instructional aid was prepared by the Tallahassee Community College Learning Commons.
The Mean, Median, Mode and Midrange
Find the measures of central tendency for the following sets of data.
1. 82, 78, 56, 70
2. 21, 13, 18, 27, 30, 12
3. 78, 60, 64, 72, 60
4. 10, 8, 2, 9, 6, 4, 8
5.
6.
7.
8.
9.
10.
Answers
Mean
Median
Mode
Midrange
1
71.5
75
None
69
2
20.17
19.5
None
21
3
66.8
64
60
69
4
6.125
7
2 & 8
6
5
11.7
12
12
15
6
7.3
10
12
6
7
5.15
5.5
6
5
8
7.16
8
8
7
9
23.43
23.5
24
23.5
10
12.63
12.5
14
12.5
pf2

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This instructional aid was prepared by the Tallahassee Community College Learning Commons.

The Mean, Median, Mode and Midrange

Find the measures of central tendency for the following sets of data.

  1. 82, 78, 56, 70

  2. 21, 13, 18, 27, 30, 12

  3. 78, 60, 64, 72, 60

  4. 10, 8, 2, 9, 6, 4, 8

Answers Mean Median Mode Midrange 1 71.5 75 None 69 2 20. 17 19.5 None 21 3 66.8 64 60 69 4 6.1 25 7 2 & 8 6 5 11.7 12 12 15 6 7.3 10 12 6 7 5.15 5.5 6 5 8 7.16 8 8 7 9 23. 43 23.5 24 23. 10 12. 63 12.5 14 12.

This instructional aid was prepared by the Tallahassee Community College Learning Commons.

Mean, Median, Mode Comparison from Graphs

Skewed to the Right: Mode < Media < Mean Skewed to the Left Mean < Median < Mode Normal Symmetric: Mean = Median = Mode