Mean from a frequency table

The Maths Habit Handout to print

What is the same? What is different?

Goals0123
Frequency3421

The same data. The table counts how many of each.

Frequency
How many times a value appears.
Frequency table
A table that shows each value and its frequency.

GoalsFrequency
03
14
22
31
Total10

The table shows the goals scored in 10 matches. Work out the mean.

GoalsFrequency
02
13
24
31
Total10

Siblings of 20 students

SiblingsFrequencyFrequency
× value
040
188
2612
326
Total2026

Mean 1.3

Books read by 20 students

BooksFrequencyFrequency
× value
15
27
36
42
Total20

Mean 2.25

Siblings of 20 students

SiblingsFrequencyFrequency
× value
04
18
26
32
Total20

Mean 1.3

Cars at 25 homes

CarsFrequencyFrequency
× value
03
112
28
32
Total25

Mean 1.36

Siblings of 20 students

SiblingsFrequencyFrequency
× value
04
18
26
32
Total20

Mean 1.3

Eggs in 20 nests

EggsFrequencyFrequency
× value
13
26
38
43
Total20

Mean 2.55

Siblings of 20 students

SiblingsFrequencyFrequency
× value
04
18
26
32
Total20

Mean 1.3

Pets of 25 students

PetsFrequencyFrequency
× value
09
18
25
33
Total25

Mean 1.08

Siblings of 20 students

SiblingsFrequencyFrequency
× value
04
18
26
32
Total20

Mean 1.3

Days missed by 50 students

DaysFrequencyFrequency
× value
015
116
210
36
43
Total50

Mean 1.32

Mean from a frequency table worksheet, page 1

Mean from a frequency table worksheet, page 2

Answer sheet

  1. In 20 matches a team scores 0 goals four times, 1 goal seven times, 3 goals three times and 2 goals in the rest. Work out the mean number of goals.

    1.4
  2. A table shows the values 0, 1, 2 and 3. Tara adds them up and divides by 4. What has she done wrong?

    She has ignored the frequencies

  1. The table shows the goals a team scored in each match.

    Goals01234
    Frequency37631
    Work out the total number of goals.

    32
  2. Work out the mean number of goals per match.

    1.6
  3. Ella works out (0 + 1 + 2 + 3 + 4) ÷ 5 = 2. Explain why this is not the mean.

    She has ignored the frequencies
Exit tickets to print