Year 10 - Maths
Comparing data sets in context
Comparisons of numerical summaries of data
Study Hub
Study Guides
This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will compare two different data sets and compare different measures of central tendancy when interpreting the data. Pupils will learn to interrogate frequency tables and stem and leaf diagrams both with and without technology.
Lesson Summary
You will learn to use measures of central tendency and spread to compare two data sets in context.
Key Notes
- Data can be hard to compare when presented in lists and tables.
- Statistical summaries can be calculated to compare data sets.
- Statistical summaries do not always provide enough information by themselves.
Vocabulary To Learn
- A statistical summary: sums up the features of a data set. It may contain the average (mean, median and/or mode) which measures the central tendency. It may also contain the range which measures the spread.
Common Mistakes To Avoid
- Pupils may feel that one statistical summary is enough to compare two data sets.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Data can be hard to compare when presented in lists and tables. Statistical summaries can be calculated to compare data sets.
2. Use this key word in a maths sentence and explain it clearly. 'A statistical summary'
sums up the features of a data set. It may contain the average (mean, median and/or mode) which measures the central tendency. It may also contain the range which measures the spread. 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 feel that one statistical summary is enough to compare two data sets. Correction: Highlight to pupils that the more information you know, the better your understanding of a data set and therefore a more comprehensive comparison can take place. Compare the means of {-120, -100, -50, 0, 1000} and {145, 145, 146, 147, 147}.
More Lessons In This Unit
- Calculating summary statistics from a grouped frequency table Study Guide
- Calculating summary statistics from stem and leaf diagrams Study Guide
- Calculating the mean from a grouped frequency table Study Guide
- Checking understanding composite and bar-line charts Study Guide
- Checking understanding of bar charts and pictograms Study Guide
- Checking understanding of measures of central tendency Study Guide
- Checking understanding of pie charts Study Guide
- Checking understanding of summary statistics from a frequency table Study Guide
- Checking understanding of summary statistics from a list Study Guide
- Comparing various representations of data sets Study Guide
- Constructing stem and leaf diagrams Study Guide
- Problem solving with comparisons of numerical data Study Guide
- Statistical summaries using technology Study Guide
- Weighted means Study Guide
Browse all guides in the Year 10 Maths guide library.