Year 10 - Maths
Checking understanding of measures of central tendency
Comparisons of 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 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 identify the limitations of each measure of central tendency and identify which should be used.
Key Notes
- The mode is a useful measure of central tendency for certain data sets.
- The median is a useful measure of central tendency for certain data sets.
- The mean is a useful measure of central tendency for certain data sets.
Vocabulary To Learn
- Measure of central tendency: A measure of central tendency is a summary measure that attempts to describe a whole set of data with a single value that represents the middle or centre of its distribution.
- Statistical summary: A statistical summary sums up the features of a data set.
Common Mistakes To Avoid
- Mean, median and mode are only useful if they are close together.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The mode is a useful measure of central tendency for certain data sets. The median is a useful measure of central tendency for certain data sets.
2. Use this key word in a maths sentence and explain it clearly. 'Measure of central tendency'
A measure of central tendency is a summary measure that attempts to describe a whole set of data with a single value that represents the middle or centre of its distribution. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Mean, median and mode are only useful if they are close together. Correction: If the mean is significantly higher or lower than the other averages, this suggests an extreme value in the data set.
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 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 data sets in context 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
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