Year 10 - Maths
Weighted means
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 calculate and compare weighted means.
Key Notes
- There may be cases where one value has more weight (importance).
- The weighted mean takes this into account.
- The percent weight given to each value is called a weighting factor.
Vocabulary To Learn
- Weighting factor: A weighting factor is a multiplier used to reflect the importance of a piece (or pieces) of data relative to the rest of the data.
- Weighted mean: A weighted mean is the mean calculated for a set of data where weighting factors have been applied.
Common Mistakes To Avoid
- That for all situations the weightings are subjective.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
There may be cases where one value has more weight (importance). The weighted mean takes this into account.
2. Use this key word in a maths sentence and explain it clearly. 'Weighting factor'
A weighting factor is a multiplier used to reflect the importance of a piece (or pieces) of data relative to the rest of the data. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: That for all situations the weightings are subjective. Correction: There are situations in which a subjective decision is made about weightings but there are also situations where the multipliers used are dictated by the context in a logical way. An example of this is combining groups and combining their means.
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 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
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