Year 8 - Maths
Statistical problems - data collection
Numerical summaries of data
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils explore the concept of measures of central tendancy, developing understanding of different types of average and their relative benefits and drawbacks. We then investigate other summaries of data such as the range and data comparison techniques.
Lesson Summary
You will learn to choose what data needs to be collected to explore a statistical problem.
Key Notes
- Different statistical problems need investigating in different ways.
- Effective data collection avoids bias where appropriate.
- When sampling from a population, the sample size needs to be practical.
Vocabulary To Learn
- Population: The population is the entire set of people, creatures, plants or items that make up the whole group which is being studied.
- Bias: Bias can be present in any sample collected from a population and may affect the results of a statistical investigation
- Sample: A sample is a subset of the population
Common Mistakes To Avoid
- The word 'population' always refers to the entire population of a country or the world.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Different statistical problems need investigating in different ways. Effective data collection avoids bias where appropriate.
2. Use this key word in a maths sentence and explain it clearly. 'Population'
The population is the entire set of people, creatures, plants or items that make up the whole group which is being studied. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: The word 'population' always refers to the entire population of a country or the world. Correction: The population in a given context is defined by the entire set of people/creatures/items that are being considered.
More Lessons In This Unit
- Analysing different statistical representations Study Guide
- Calculating the mean Study Guide
- Calculating the median Study Guide
- Calculating the mode Study Guide
- Changing a data point Study Guide
- Checking understanding of the mean Study Guide
- Comparing statistical representations Study Guide
- Comparing summaries of data Study Guide
- Correlation Study Guide
- Evaluating the range Study Guide
- Problem solving with numerical summaries of data Study Guide
- Statistical problems - data presentations Study Guide
- Statistical problems - drawing conclusions Study Guide
- Statistical problems - statistical summaries Study Guide
- Summarising data Study Guide
- Understanding and calculating the range Study Guide
- Understanding the median Study Guide
- Understanding the mode Study Guide
Browse all guides in the Year 8 Maths guide library.