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Edexcel GCSE Maths Population and sampling

Population and sampling

This page covers the following topics:

1. Sampling data
2. Populations

When surveys are carried out, every single person/object that is relevant cannot be realistically asked/checked. The set of all the people/objects relevant to a survey is called the population. To combat this issue, a sample is taken. A sample is a subset of the population to be used in the survey and a sampling unit is each element of the sample. Sampling is a lot easier to carry out rather than asking every element of the population and is thus less time-consuming and a lot cheaper. Since a sample represents the population it is taken from, it also gives accurate results. Also, in cases of limited resources, sampling is ideal since it doesn't use up the whole population. However, there is still a chance of bias and there are difficulties in selecting a truly representative sample.

Sampling data

The population of a survey is every person/object that is asked/checked during a survey. Using the entire population means that everyone's opinion is accounted for, meaning that the results are free from bias and are more reliable. However, asking the whole population could be extremely time-consuming and costly.

Populations

1

A bakery wants to conduct a survey about the bread buying habits of its customers. The bakery asks every customer that visits them on a random day. Explain whether the bakery has asked the whole population or has taken a sample.

A bakery wants to conduct a survey about the bread buying habits of its customers. The bakery asks every customer that visits them on a random day. Explain whether the bakery has asked the whole population or has taken a sample.

2

A student wants to carry out a survey about stress levels at school. On Monday, he asks 20 students leaving school to rate their stress levels from 1 to 10. State what is the student's sample and his sampling units.

A student wants to carry out a survey about stress levels at school. On Monday, he asks 20 students leaving school to rate their stress levels from 1 to 10. State what is the student's sample and his sampling units.

3

A teacher wants to carry out a survey for her class of 25 students to deduce what they think about the amount of homework they receive. Explain if she should use a sample or the whole population.

A teacher wants to carry out a survey for her class of 25 students to deduce what they think about the amount of homework they receive. Explain if she should use a sample or the whole population.

4

A city of population 100000 is trying to collect information about its population's public transport habits. Explain why using a sample may be a better idea than using the whole population.

A city of population 100000 is trying to collect information about its population's public transport habits. Explain why using a sample may be a better idea than using the whole population.

5

Explain why manufacturing companies cannot use the whole population during quality checks.

Explain why manufacturing companies cannot use the whole population during quality checks.

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