# Statistics: Finding the Mean

In this worksheet, students calculate the mean of a given set of data.

Key stage:  KS 2

Curriculum topic:   Statistics

Curriculum subtopic:   Calculate Average/Interpret Mean

Difficulty level:

### QUESTION 1 of 10

There are several different types of averages.

An average is one number that represents a set of numbers.

The MEAN  is a  number which we calculate by adding up all the numbers in the set and dividing this total by how many numbers there are.

Example

Find the MEAN of this set of ten numbers:    5,  4,  8,  4,  3,  3,  8,  5,  1,  6

Step 1     Find the total of the set :   5 + 4 + 8 + 4 + 3 + 3 + 8 + 5 + 1 + 6 = 47

Step 2     Now divide the total by how many numbers in the set there are, which is 10:  47 ÷ 10 = 4.7

The MEAN is 4.7

Work out the MEAN of this list of 7 numbers:

5,  8,  7,  7,  3,  5,  7

Work out the MEAN of this list of shoe sizes, taken from children on a football team:

8,  8,  7,  7,  6,  5,  8,  7,  6,  8,  7

Work out the MEAN of this list of numbers:

15,  12,  7,  17,  23,  15,  14,  17

Work out the MEAN of this list of numbers:

15,  1200,  85,  1700

Work out the MEAN of this list of numbers:

5,  5,  5,  5,  5,  5,  5,  5

Work out the MEAN value of this list of shoe sizes, taken from children in a hockey team:

5½,  8,  6,  7½,  6,  5,  6,  5,  6,  8,  3

Work out the MEAN of this list of numbers:

5,  5,  5,  5,  100

Work out the MEAN of this list of numbers:

5,  -5,  -7,  7

The maximum daytime temperatures in ºC on 10 British summer days were as follows.

Work out the MEAN temperature in ºC (just write the number)

18,  17,  19,  18,  20,  15,  17,  18,  16,  15

The maximum daytime temperatures in ºC on 10 Italian summer days were as follows:

Work out the MEAN temperature in ºC (just write the number)

32,  27,  32,  35,  34,  33,  36,  35,  30,  35

• Question 1

Work out the MEAN of this list of 7 numbers:

5,  8,  7,  7,  3,  5,  7

6
EDDIE SAYS
The total of these numbers is: 5 + 8 + 7 + 7 + 3 + 5 + 7 = 42 The mean is: 42 ÷ 7 = 6 Great start!
• Question 2

Work out the MEAN of this list of shoe sizes, taken from children on a football team:

8,  8,  7,  7,  6,  5,  8,  7,  6,  8,  7

7
EDDIE SAYS
The total of these numbers is: 8 + 8 + 7 + 7 + 6 + 5 + 8 + 7 + 6 + 8 + 7 = 77 The mean is: 77 ÷ 11 = 7
• Question 3

Work out the MEAN of this list of numbers:

15,  12,  7,  17,  23,  15,  14,  17

15
EDDIE SAYS
The total of these numbers is: 15 + 12 + 7 + 17 + 23 + 15 + 14 + 17 = 120 The mean is: 120 ÷ 8 = 15 Keep up the great work!
• Question 4

Work out the MEAN of this list of numbers:

15,  1200,  85,  1700

750
EDDIE SAYS
The total of these numbers is: 15 + 1200 + 85 + 1700 = 3000 The mean is: 3000 ÷ 4 = 750 Well done!
• Question 5

Work out the MEAN of this list of numbers:

5,  5,  5,  5,  5,  5,  5,  5

5
EDDIE SAYS
The total of these numbers is: 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 40 The mean is: 40 ÷ 8 = 5
• Question 6

Work out the MEAN value of this list of shoe sizes, taken from children in a hockey team:

5½,  8,  6,  7½,  6,  5,  6,  5,  6,  8,  3

6
EDDIE SAYS
The total of these numbers is: 5 1/2 + 8 + 6 + 7 1/2 + 6 + 5 + 6 + 5 + 6 + 8 + 3 = 66 The mean is: 66 ÷ 11 = 6
• Question 7

Work out the MEAN of this list of numbers:

5,  5,  5,  5,  100

24
EDDIE SAYS
The total of these numbers is: 5 + 5 + 5 + 5 + 100 = 120 The mean is: 120 ÷ 5 = 24
• Question 8

Work out the MEAN of this list of numbers:

5,  -5,  -7,  7

0
EDDIE SAYS
The total of these numbers is: 5 + -5 + -7 + 7 = 0 The mean is: 0 ÷ 4 = 0
• Question 9

The maximum daytime temperatures in ºC on 10 British summer days were as follows.

Work out the MEAN temperature in ºC (just write the number)

18,  17,  19,  18,  20,  15,  17,  18,  16,  15

17.3
EDDIE SAYS
The total of these numbers is: 18 + 17 + 19 + 18 + 20 + 15 + 17 + 18 + 16 + 15 = 173 The mean is: 173 ÷ 10 = 17.3
• Question 10

The maximum daytime temperatures in ºC on 10 Italian summer days were as follows:

Work out the MEAN temperature in ºC (just write the number)

32,  27,  32,  35,  34,  33,  36,  35,  30,  35

32.9
EDDIE SAYS
The total of these numbers is: 32 + 27 + 32 + 35 + 34 + 33 + 36 + 35 + 30 +35 = 329 The mean is: 329 ÷ 10 = 32.9 Well done finding the mean!
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