Year 10 - Maths
Comparing various representations of data sets
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 differing formats.
- Being able to convert/interpret differing representations is useful.
- It is important to identify the most efficient form for the data to be in to compare it.
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.
- Stem and leaf diagram: A stem and leaf diagram is a systematic way to visually organise and represent numerical data.
Common Mistakes To Avoid
- The mode is the most useful average as it can be calculated from bar charts, pie charts and frequency tables.
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 differing formats. Being able to convert/interpret differing representations is useful.
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: The mode is the most useful average as it can be calculated from bar charts, pie charts and frequency tables. Correction: Although it is often the easiest of the averages to calculate, this does not make it the most useful.
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
- 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.