  # Find the Mean

In this worksheet, students practise finding the mean from a small data set (Discrete values only). Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR,

Curriculum topic:   Statistics

Curriculum subtopic:   Statistics Analysing Data

Difficulty level:   #### Worksheet Overview

When you have a whole load of information, it can be quite difficult to deal with.

For example, If I asked whether Boys were taller than Girls, you would have to do something to the data to be able to answer the question.

To do this we take averages.

What is an average?

An average is just one piece of information that represents all the other information in a data set.

What are the averages?

There are three averages. Mean, Median and Mode.

Each one has advantages and disadvantages, in this worksheet we are going to look at finding the mean.

How do we find the mean?

To find the mean, we add up all the values in a list and then divide by the total amount of numbers in the list.

Example 1: Find the mean of 4, 8, 7, 5, 9, 4, 8, 3

Step 1: Add up all the numbers

4 + 8 + 7 + 5 + 9 + 4 + 8 + 3 = 48

Step 2: Count the numbers in the list.

We have 8 numbers in this list

Step 3: Divide one by the other.

48 ÷ 8 = 6

Example 2: Find the mean of 21, 23, 20, 27, 25, 24, 25, 30, 21, 22, 28

Step 1: Add up all the numbers

21+23+20+27+25+24+25+30+21+22+28 = 266

Step 2: Count the numbers in the list.

We have 11 numbers in this list

Step 3: Divide one by the other.

266 ÷ 11 = 24.2

If the answer isn't an integer, give your answer to 1 decimal places unless the questions tells you otherwise.

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