AQA GCSE Maths
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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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