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Finding the Mean From an Assumed Mean

In this worksheet, students find the mean from an assumed mean.

'Finding the Mean From an Assumed Mean' worksheet

Key stage:  KS 3

Curriculum topic:  Statistics

Curriculum subtopic:  Understand Variables, Representation, Measures and Spread

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this worksheet, we will learn how to find the mean from an assumed mean.

 

Example

Find the mean of 10 numbers.
50.5, 50.7, 52.1, 53.5, 54.0, 56.9, 58.8, 59.1, 59.3, 59.8

 

Method

First take a guess at what the mean could be, 54.0 perhaps.

Then work out the deviations of each value from 54.0

50.5 - 54.0 = -3.5
50.7 - 54.0 = -3.3
52.1 - 54.0 = -1.9
53.5 - 54.0 = -0.5
54.0 - 54.0 = 0
56.9 - 54.0 = 2.9
58.8 - 54.0 = 4.8
59.1 - 54.0 = 5.1
59.3 - 54.0 = 5.3
59.8 - 54.0 = 5.8

 

Add the deviations to get 14.7

Share the deviations among the 10 values 14.7 ÷ 10 = 1.47

Add this on to the assumed mean.

Mean = 54.0 + 1.47 = 55.47

Find the mean from an assumed mean:

59.1, 59.1, 49.1, 46.9

Find the mean from an assumed mean:

44.9, 54.1, 48, 53

Find the mean from an assumed mean:

50.6, 56.3, 55.2, 49.0, 54.4

Find the mean from an assumed mean:

51.1, 45.4, 42.1, 49.5, 57.2

Find the mean from an assumed mean:

21, 32, 23, 31, 34, 16, 18

Find the mean from an assumed mean:

57, 45, 24, 37, 25, 18, 42, 40

Find the mean from an assumed mean:

59.3, 46.6, 48.0, 45.2, 40.9

Find the mean from an assumed mean:

60.0, 44.3, 55.9, 57.7, 47.1, 46.2, 46.0, 52.4, 56.1, 57.1

Find the mean from an assumed mean:

43.1, 56.1, 59.8, 52.3, 51.6, 51.7, 58.3, 45.5

Find the mean from an assumed mean:

46.1, 41.2, 57.9, 46.0, 45.3, 45.0, 51.3, 57.3, 45, 45.9

  • Question 1

Find the mean from an assumed mean:

59.1, 59.1, 49.1, 46.9

CORRECT ANSWER
53.55
  • Question 2

Find the mean from an assumed mean:

44.9, 54.1, 48, 53

CORRECT ANSWER
50
  • Question 3

Find the mean from an assumed mean:

50.6, 56.3, 55.2, 49.0, 54.4

CORRECT ANSWER
53.1
  • Question 4

Find the mean from an assumed mean:

51.1, 45.4, 42.1, 49.5, 57.2

CORRECT ANSWER
49.06
  • Question 5

Find the mean from an assumed mean:

21, 32, 23, 31, 34, 16, 18

CORRECT ANSWER
25
  • Question 6

Find the mean from an assumed mean:

57, 45, 24, 37, 25, 18, 42, 40

CORRECT ANSWER
36
  • Question 7

Find the mean from an assumed mean:

59.3, 46.6, 48.0, 45.2, 40.9

CORRECT ANSWER
48
  • Question 8

Find the mean from an assumed mean:

60.0, 44.3, 55.9, 57.7, 47.1, 46.2, 46.0, 52.4, 56.1, 57.1

CORRECT ANSWER
52.28
  • Question 9

Find the mean from an assumed mean:

43.1, 56.1, 59.8, 52.3, 51.6, 51.7, 58.3, 45.5

CORRECT ANSWER
52.3
  • Question 10

Find the mean from an assumed mean:

46.1, 41.2, 57.9, 46.0, 45.3, 45.0, 51.3, 57.3, 45, 45.9

CORRECT ANSWER
48.1
---- OR ----

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