Module 5: Statistics and probability · Topic 23 of 26
Charts and graphs
Tables, bar charts, pie charts, line graphs and scatter graphs
VIDEO LESSON Watch Mr Boston explain charts and graphs
Mr Boston
Charts turn numbers into pictures so we can see patterns at a glance.
Choosing and reading charts
- Tally and frequency tables organise data.
- Bar charts compare categories. Leave gaps between bars.
- Pie charts show proportions. The whole circle is 360°: angle = (frequency ÷ total) × 360°.
- Line graphs show change over time.
- Scatter graphs show whether two things are linked (correlation): positive, negative or none.
Worked examples
Example 1. In a survey of 60 people, 15 chose football. What angle is football on a pie chart?
15 ÷ 60 = 1/4, and 1/4 of 360° = 90°.
Example 2. A pie chart of 40 pupils has a 72° slice for “walk”. How many pupils walk?
72 ÷ 360 = 1/5, and 1/5 of 40 = 8 pupils.
Example 3. Temperature against ice cream sales: as one goes up, so does the other. What correlation is this?
Positive correlation.
Top tips and common mistakes
- Always check the scale on the axes: one square might mean 2, 5 or 10.
- Give charts a title and label both axes.
- Correlation does not prove one thing causes the other.
Tayo
I made a bar chart of my family’s favourite fruit. Bananas won!
Practise
Answer as many as you like. Every question is new, and you get a “correct” tick for each one you get right first time. Use “Show answer” to see a worked solution.

