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Use Populations and Sampling

In this worksheet, students practise finding samples.

'Use Populations and Sampling' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

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

Curriculum topic:   Statistics

Curriculum subtopic:   Statistics Sampling

Difficulty level:  

Worksheet Overview

What are populations?

Populations in maths describe a situation where you are referring to a whole group of people.

i.e. All the pupils in a school is the population of the school, all the people on a train is the population of the train.

 

What is a sample?

A lot of the time, when you are trying to find something out in statistics, it isn't sensible to ask everyone, instead, you ask some of them and use that as a statistical representation of everyone. This is a sample.

i.e. If I want to find out about the lunch habits in a school, instead of asking everyone, I might only ask 50 and assume this represents the views of everyone.

 

How do I find a sample?

Samples are given as percentages.

Example 1: I want to find a 10% sample of pupils in a school. If the school has 400 students, how many do I need to speak to?

I need to find 10% of 400, this is 40 students.

 

Example 2: I ask 150 students in a school with 1000 students about their favourite crisps. What sample size is this?

We are trying to find out what percentage 150 out of 100 is, this can be written as a fraction. We can then multiply by 100 to get a percentage.

 

150
1000
x 100 = 15%

 

Primary Vs Secondary Data.

This sounds more complicated than it is. Primary data is simply data you have collected yourself (ie questionnaire or survey), secondary data is data you have found somewhere else (i.e. house prices)

 

Bias

Sometimes if you are collecting primary data, you can introduce a bias (unfairness)

For example, if you asked people coming out of a gym how long they spent exercising, this is biased because you don't have people who don't exercise)

If you wanted to find out the favourite subjects of pupils in a school. You would have to ask the same number of boys as girls to make it fair.

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