Charts and Diagrams

Interpret and draw bar charts, pie charts, pictograms, and frequency tables for GCSE Maths.

Charts and diagrams display data visually. GCSE Maths requires you to read, interpret, and draw various types.

Types of Charts

Bar Charts

Bars represent frequencies. Heights show the count.

  • Comparative bar charts: two sets of data side by side.
  • Compound bar charts: stacked segments.

Pie Charts

Circle divided into sectors. Each sector angle represents proportion.

Angle=frequencytotal×360°\text{Angle} = \frac{\text{frequency}}{\text{total}} \times 360°

Pictograms

Pictures represent data. A key shows what each picture represents.

Frequency Tables

Score Frequency
1 5
2 8
3 12

Grouped Frequency Tables

Time (min) Frequency
0-10 4
10-20 8
20-30 6

Worked Example: Example: Pie Chart

Problem

30 people chose pizza, 20 chose pasta, 10 chose salad. Total = 60.

Pizza: 3060×360=180°\frac{30}{60} \times 360 = 180°. Pasta: 120°120°. Salad: 60°60°.

Solution

Practice Problems

    1. Draw a pie chart: Red 15, Blue 25, Green 20.
    1. From a bar chart, find the total frequency.
    1. A pictogram uses 1 symbol = 4 people. How many symbols for 14 people?

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Key Takeaways

  • Pie chart angle = (frequency/total) × 360°.

  • Bar chart: height = frequency.

  • Always check the scale/key.

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