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Find Averages from Frequency Tables

In this worksheet, students will read data from frequency tables in order to work out the mean, median, mode and range.

'Find Averages from Frequency Tables' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Statistics

Curriculum subtopic:   Understand Variables, Representation, Measures and Spread

Difficulty level:  

Worksheet Overview

Data organised in a frequency table can be used to work out the mean, median, mode and range.


The number of items in the group can be found by adding up the frequencies.  

Remember that 'frequency' is just 'how many times' something occurs.



This table shows the number of pets owned by children in a Year 8 class at school.

Find the mean, median, mode and range.


Number of pets 0 1 2
Frequency 11 14 5


This means that:

11 children have no pets

14 children have one pet

 5 children have two pets



There are (11 x 0) + (14 x 1) + (5 x 2) = 0 + 14 + 10 = 24 pets in total.

There are 11 + 14 + 5 = 30 children in the class.


Mean number of pets = 24 ÷ 30 = 0.8



There are 30 children, so the 'middle person' will be the 15th and 16th.

The 15th and 16th person both fall into the middle category and have 1 pet.

The median number of pets is 1



This is the one with the highest frequency.

Most children (14) have 1 pet.

The modal number of pets is 1



The largest number of pets is 2 and the smallest is 0.

Range = 2 - 0 = 2


Does that make sense?


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