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  1. Maths
  2. Year 9
  3. Statistics
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Finding the Mean from Frequency Tables

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

'Finding the Mean from Frequency Tables' worksheet

Key stage:  KS 3

Curriculum topic:   Statistics

Curriculum subtopic:   Construct/Interpret Appropriate Representations for Data

Difficulty level:  

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Worksheet Overview

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.

(Answer to 1 dp)

 

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)

  • ANSWERS
  • 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.

 

CORRECT ANSWER
1.92
  • ANSWERS
  • 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)

CORRECT ANSWER
2.37
  • ANSWERS
  • 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)

CORRECT ANSWER
2.45
  • ANSWERS
  • Question 4

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

(Answer to 1 dp)

 

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 = ?

CORRECT ANSWER
15.2
  • ANSWERS
  • 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)

CORRECT ANSWER
1.46
---- OR ----

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