Year 8 - Maths
Understanding and calculating the range
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 understand what the range is measuring, how it is measuring it and calculate the range from data presented in a range of different ways.
Key Notes
- The range is a measure of spread.
- The range is difference between the highest and lowest data point.
- The range shows how spread out (far apart) the extreme values in the data set are.
Vocabulary To Learn
- Range: The range is a measure of spread. It is found by finding the difference between the highest and lowest values.
- Spread/Dispersion: The spread/dispersion of data values describes how far apart the pieces of data are.
Common Mistakes To Avoid
- Pupils may often write the range as '3 to 10' or '10 - 3' rather than a single value.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The range is a measure of spread. The range is difference between the highest and lowest data point.
2. Use this key word in a maths sentence and explain it clearly. 'Range'
The range is a measure of spread. It is found by finding the difference between the highest and lowest values. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may often write the range as '3 to 10' or '10 - 3' rather than a single value. Correction: Remind pupils that the range is a single value which describes how far apart the extreme values are.
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 collection 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 the median Study Guide
- Understanding the mode Study Guide
Browse all guides in the Year 8 Maths guide library.