Finding the Mean from Frequency Tables

In this worksheet, students review how to find the mean from frequency tables.

Key stage:  KS 3

Curriculum topic:   Statistics

Curriculum subtopic:   Construct/Interpret Appropriate Representations for Data

Difficulty level:

QUESTION 1 of 10

This worksheet is about finding the mean from a frequency table.

Example

The table gives the test marks out of 6 for a class of 30 children.

F x X is worked out for you.

Calculate the mean mark.

 Marks (X) Frequency (F) F x X 0 1 0 x 1 = 0 1 0 1 x 0 = 0 2 1 2 x 1 = 2 3 8 3 x 8 = 24 4 15 4 x 15 = 60 5 10 5 x 10 = 50 6 4 6 x 4 = 24 Totals 30 160
 Mean = 160 = 5.3 30

The number of goals scored by a football team over a number of games are summarised in the table.

 No. of goals (X) Frequency (F) F x X 0 4 0 1 10 10 2 4 8 3 1 3 4 3 12 5 3 15 Totals 25 48

Calculate the mean number of goals scored in a match.

The number of pets owned by children in a class are summarised in the table.

 No. of pets (X) Frequency (F) F x X 0 7 0 1 2 2 2 3 6 3 9 27 4 9 36 Totals 30 71

Calculate the mean number of pets owned by a child in the class. (Answer to 2 dps)

The number of pets owned by children in a class are summarised in the table.

 No. of pets (X) Frequency (F) F x X 0 2 0 1 3 3 2 10 20 3 8 24 4 6 24 Totals 29

Work out the mean number of pets owned by a child.  (Answer to 2 dps)

Find the mean age of the drama group, summarised below.

 Age (X) Frequency (F) F x X 12 6 72 13 9 117 14 5 70 15 8 120 16 7 112 17 9 153 18 8 144 Totals 52

Mean = ?

The number of goals scored by a football team over number of games are summarised in the table.

 No. of goals (X) Frequency (F) F x X 0 11 1 4 2 4 3 2 4 5 5 0 Totals 26

Calculate the mean number of goals scored in a game. (Answer to 2 dps)

• Question 1

The number of goals scored by a football team over a number of games are summarised in the table.

 No. of goals (X) Frequency (F) F x X 0 4 0 1 10 10 2 4 8 3 1 3 4 3 12 5 3 15 Totals 25 48

Calculate the mean number of goals scored in a match.

1.92
• Question 2

The number of pets owned by children in a class are summarised in the table.

 No. of pets (X) Frequency (F) F x X 0 7 0 1 2 2 2 3 6 3 9 27 4 9 36 Totals 30 71

Calculate the mean number of pets owned by a child in the class. (Answer to 2 dps)

2.37
• Question 3

The number of pets owned by children in a class are summarised in the table.

 No. of pets (X) Frequency (F) F x X 0 2 0 1 3 3 2 10 20 3 8 24 4 6 24 Totals 29

Work out the mean number of pets owned by a child.  (Answer to 2 dps)

2.45
• Question 4

Find the mean age of the drama group, summarised below.

 Age (X) Frequency (F) F x X 12 6 72 13 9 117 14 5 70 15 8 120 16 7 112 17 9 153 18 8 144 Totals 52

Mean = ?

15.2
• Question 5

The number of goals scored by a football team over number of games are summarised in the table.

 No. of goals (X) Frequency (F) F x X 0 11 1 4 2 4 3 2 4 5 5 0 Totals 26

Calculate the mean number of goals scored in a game. (Answer to 2 dps)

1.46
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