Year 10 - Maths
Problem solving with comparisons of numerical data
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 use your understanding of graphs and summary statistics to solve more complex problems.
Key Notes
- When presented with a large volume of data, valid interpretation can be hard.
- It is important that any conclusions are supported by the data.
- In the real world, multiple representations are often used so critiquing them is a vital skill.
Vocabulary To Learn
- Bar chart: A bar chart (bar graph) is a graph consisting of bars visually representing the frequency of objects or groups.
- Pie chart: A pie chart (pie graph) is a circular graph where sectors represent different groups proportionally.
- Scatter graph: A scatter graph is a visual representation for bivariate data. It can be useful when determining the nature of the relationship between the variables.
Common Mistakes To Avoid
- Claims can be made based on the data displayed in a chart.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When presented with a large volume of data, valid interpretation can be hard. It is important that any conclusions are supported by the data.
2. Use this key word in a maths sentence and explain it clearly. 'Bar chart'
A bar chart (bar graph) is a graph consisting of bars visually representing the frequency of objects or groups. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Claims can be made based on the data displayed in a chart. Correction: A claim is only valid for the particular selection of data shown. This can mean that any conclusions are very limited.
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
- Statistical summaries using technology Study Guide
- Weighted means Study Guide
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