Finding the mean from a frequency table Revision Card

AI generatedStatisticsKey Stage 3

Finding the mean from a frequency table.

Frequency tells you how many times each value occurs.
Add an xf column, then total and xf. Black is given information; blue is added working.
Mean = Σxf ÷ Σf. Divide by the total frequency, not the number of table rows.

Example 1

Find the mean, correct to 2 d..

Given information

Value	Frequency
1	2
2	3
3	5
4	2

Add a product column and total row

Value	Frequency
1	2	2
2	3	6
3	5	15
4	2	8
Total	12	31

Black: given data. Blue: working we add.

Total of values

Each value occurs

times, so add xf, not just

Mean

Divide the total of all values by the total frequency, not by the number of rows.

Mean

Round only the final result.

Example 2

Find the mean, correct to 2 d..

Given information

Value	Frequency
2	3
3	3
4	6
5	2

Add a product column and total row

Value	Frequency
2	3	6
3	3	9
4	6	24
5	2	10
Total	14	49

Black: given data. Blue: working we add.

Total of values

Each value occurs

times, so add xf, not just

Mean

Divide the total of all values by the total frequency, not by the number of rows.

Mean

Round only the final result.

Your turn

Question 1

Find the mean, correct to 2 d..

Given information

Value	Frequency
3	4
4	3
5	7
6	2

Check answer

Add a product column and total row

Value	Frequency
3	4	12
4	3	12
5	7	35
6	2	12
Total	16	71

Black: given data. Blue: working we add.

Total of values

Each value occurs

times, so add xf, not just

Mean

Divide the total of all values by the total frequency, not by the number of rows.

Mean

Round only the final result.

Question 2

Find the mean, correct to 2 d..

Given information

Value	Frequency
4	5
5	3
6	8
7	2

Check answer

Add a product column and total row

Value	Frequency
4	5	20
5	3	15
6	8	48
7	2	14
Total	18	97

Black: given data. Blue: working we add.

Total of values

Each value occurs

times, so add xf, not just

Mean

Divide the total of all values by the total frequency, not by the number of rows.

Mean

Round only the final result.

Question 3

Find the mean, correct to 2 d..

Given information

Value	Frequency
1	6
2	3
3	5
4	2

Check answer

Add a product column and total row

Value	Frequency
1	6	6
2	3	6
3	5	15
4	2	8
Total	16	35

Black: given data. Blue: working we add.

Total of values

Each value occurs

times, so add xf, not just

Mean

Divide the total of all values by the total frequency, not by the number of rows.

Mean

Round only the final result.

Question 4

Find the mean, correct to 2 d..

Given information

Value	Frequency
2	2
3	4
4	6
5	2

Check answer

Add a product column and total row

Value	Frequency
2	2	4
3	4	12
4	6	24
5	2	10
Total	14	50

Black: given data. Blue: working we add.

Total of values

Each value occurs

times, so add xf, not just

Mean

Divide the total of all values by the total frequency, not by the number of rows.

Mean

Round only the final result.

Question 5

Find the mean, correct to 2 d..

Given information

Value	Frequency
3	3
4	4
5	7
6	2

Check answer

Add a product column and total row

Value	Frequency
3	3	9
4	4	16
5	7	35
6	2	12
Total	16	72

Black: given data. Blue: working we add.

Total of values

Each value occurs

times, so add xf, not just

Mean

Divide the total of all values by the total frequency, not by the number of rows.

Mean

Round only the final result.