AQA GCSE Maths

Revision Notes

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(Working With Averages, Ranges & Statistical Data)

Population, Types of Data & Sampling

Population, Types of Data & Sampling

 

What Are the Different Types of Data?

Primary Data

  • Collected first-hand by the researcher.
  • Methods: surveys, interviews, experiments.
  • Example: asking pupils how many hours they study each night.

Secondary Data

  • Collected by someone else, previously.
  • Found in textbooks, websites, reports.
  • Example: data from a government report or scientific article.

 

Qualitative Data

  • Descriptive data in words (not numbers).
  • Example: favourite colour, type of pet, brand of cereal.

Quantitative Data

  • Data given in numbers.
  • Can be discrete or continuous.

Discrete Data

  • Counted values.
  • Takes specific values only.
  • Example: number of books read.

Continuous Data

  • Measured values.
  • Can take any value within a range.
  • Example: weight of a watermelon, temperature of a room.

 

What Is a Population?

A population is the entire group you are studying.

  • Example 1: All Year 11 students at a school.
  • Example 2: All makes of mobile phones in a store.

Important: A population doesn’t have to be people. It could be objects, animals, or anything measurable.

 

What Is a Sample?

A sample is a small group taken from the population.

  • Used to gather data more quickly and cheaply than from the whole population.

Random Sample

  • Every member of the population has an equal chance of being chosen.

Biased Sample

Some members are more likely to be chosen than others.

Example: only asking pupils from one class.

 

Advantages and Disadvantages

Population (Census)

Advantages:

  • Accurate
  • Includes all responses/options

Disadvantages:

  • Time-consuming
  • Expensive
  • Too much data to process

 

Sample

Advantages:

  • Quicker
  • Cheaper
  • Easier to handle

Disadvantages:

  • Might not be accurate
  • Can be biased
  • Different samples may give different results

 

Example

Mike is a biologist studying 600 mice in an enclosure. He selects 10 mice nearest the entrance for a drug trial.

(a) What is the population?

  • All 600 mice in the enclosure.

(b) Two problems with Mike’s method:

  • Small sample — only 10 mice.
  • Biased selection — he only chooses mice near the entrance.

(c) How could Mike improve his sampling?

  • Use a larger sample for more reliable results.
  • Select mice at random to avoid bias.

 

 

Tuity Tip

Hover me!

Use a random sample when possible to avoid bias.

Always ask: "Is this sample big and fair enough to trust?"

Discrete = count it. Continuous = measure it.

Don’t confuse “data type” with “source of data” – primary/secondary is different from qualitative/quantitative.

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