Mean from a frequency table

The Maths Habit

How many cubes are there?

3 towers of 23 × 2 = 6
4 towers of 54 × 5 = 20
2 towers of 42 × 4 = 8

How can you count all the cubes quickly?

Put the towers that match together. Count each group.

Frequency
How many times a value appears.
222
Frequency table
A table of each value and its frequency.
ValueFrequency
12
23
Mean
The total shared out equally between all the values.

Find the mean.

13344mean
ValueFrequencyFrequency × value
1Multiply each row.111 × 1 = 1
322 × 3 = 6
422 × 4 = 8
2Add each column.Total515
3Share equally.
Mean = 15÷5=3

Find the mean.

1124mean
ValueFrequencyFrequency × value
1Multiply each row.122 × 1 = 2
211 × 2 = 2
411 × 4 = 4
2Add each column.Total48
3Share equally.
Mean = 8÷4=2

Find the mean.

13344mean
ValueFrequencyFrequency × value
1Multiply each row.111 × 1 = 1
322 × 3 = 6
422 × 4 = 8
2Add each column.Total515
3Share equally.
Mean = 15÷5=3
1Multiply each row.frequency×value2Add each column.how manytotal3total÷how many=mean

Find the mean.

23555mean
ValueFrequencyFrequency × value
1Multiply each row.211 × 2 = 2
311 × 3 = 3
533 × 5 = 15
2Add each column.Total520
3Share equally.
Mean = 20÷5=4

Find the mean.

13344mean
ValueFrequencyFrequency × value
1Multiply each row.111 × 1 = 1
322 × 3 = 6
422 × 4 = 8
2Add each column.Total515
3Share equally.
Mean = 15÷5=3
1Multiply each row.frequency×value2Add each column.how manytotal3total÷how many=mean

Find the mean.

1555mean
ValueFrequencyFrequency × value
1Multiply each row.111 × 1 = 1
533 × 5 = 15
2Add each column.Total416
3Share equally.
Mean = 16÷4=4

Find the mean.

13344mean
ValueFrequencyFrequency × value
1Multiply each row.111 × 1 = 1
322 × 3 = 6
422 × 4 = 8
2Add each column.Total515
3Share equally.
Mean = 15÷5=3
1Multiply each row.frequency×value2Add each column.how manytotal3total÷how many=mean

Find the mean.

22245mean
ValueFrequencyFrequency × value
1Multiply each row.233 × 2 = 6
411 × 4 = 4
511 × 5 = 5
2Add each column.Total515
3Share equally.
Mean = 15÷5=3

How many values are there?

02554 values
003345 values
0244446 values

A 0 is a value. Count it.

Find the mean.

02233mean
ValueFrequencyFrequency × value
1Multiply each row.011 × 0 = 0
222 × 2 = 4
322 × 3 = 6
2Add each column.Total510
3Share equally.
Mean = 10÷5=2

Find the mean.

03444mean
ValueFrequencyFrequency × value
1Multiply each row.011 × 0 = 0
311 × 3 = 3
433 × 4 = 12
2Add each column.Total515
3Share equally.
Mean = 15÷5=3

Find the mean.

02233mean
ValueFrequencyFrequency × value
1Multiply each row.011 × 0 = 0
222 × 2 = 4
322 × 3 = 6
2Add each column.Total510
3Share equally.
Mean = 10÷5=2
1Multiply each row.frequency×value2Add each column.how manytotal3total÷how many=mean

Find the mean.

01333mean
ValueFrequencyFrequency × value
1Multiply each row.011 × 0 = 0
111 × 1 = 1
333 × 3 = 9
2Add each column.Total510
3Share equally.
Mean = 10÷5=2

Find the mean.

02233mean
ValueFrequencyFrequency × value
1Multiply each row.011 × 0 = 0
222 × 2 = 4
322 × 3 = 6
2Add each column.Total510
3Share equally.
Mean = 10÷5=2
1Multiply each row.frequency×value2Add each column.how manytotal3total÷how many=mean

Find the mean.

011244mean
ValueFrequencyFrequency × value
1Multiply each row.011 × 0 = 0
122 × 1 = 2
211 × 2 = 2
422 × 4 = 8
2Add each column.Total612
3Share equally.
Mean = 12÷6=2

Find the mean.

02233mean
ValueFrequencyFrequency × value
1Multiply each row.011 × 0 = 0
222 × 2 = 4
322 × 3 = 6
2Add each column.Total510
3Share equally.
Mean = 10÷5=2
1Multiply each row.frequency×value2Add each column.how manytotal3total÷how many=mean

Ava scores these goals in six games. Find the mean.

033444mean
GoalsFrequencyFrequency × value
1Multiply each row.011 × 0 = 0
322 × 3 = 6
433 × 4 = 12
2Add each column.Total618
3Share equally.
Mean = 18÷6=3

Mean from a frequency table worksheet, page 1

Mean from a frequency table worksheet, page 2

Answer sheet

Is it right?
Thumbs up: right. Thumbs down: wrong.

  1. Frequency total 5. Total 20. Mean 4.

    Right

  2. Frequency total 4. Total 12. Mean 4.

    Wrong: 12 ÷ 4 = 3

  3. Frequency total 6. Total 18. Mean 18.

    Wrong: that is the total

  4. Frequency total 10. Total 30. Mean 3.

    Right

  5. Frequency total 8. Total 16. Mean 8.

    Wrong: 16 ÷ 8 = 2

  1. The values 0, 1, 2 and 3 have frequencies 3, 4, 2 and 1. Work out the mean.

    1.1

  2. In ten games a team scores 0 goals twice, 1 goal five times and 3 goals three times. Work out the mean.

    1.4

  3. The values 1, 2 and 4 have frequencies 4, 3 and ?. The mean is 2. Find the missing frequency.

    2

  4. A frequency table has a frequency total of 20. The Frequency × value total is 46. Work out the mean.

    2.3

  1. Find the mean.

    2
    ValueFrequencyFrequency× value133 × 1 = 3211 × 2 = 2511 × 5 = 51Multiply each row.Total2Add each column.3Share equally.Mean =÷=

  2. Find the mean.

    3
    ValueFrequencyFrequency× value0231531Multiply each row.Total2Add each column.3Share equally.Mean =÷=

  3. Find the mean.

    3
    ValueFrequency11223352
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