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Statistics Gcse Edexcel Higher

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Exam code:1ST0

Pie Charts

What is a pie chart?

  • A pie chart is a circle which is divided into slices (sectors) to show proportions

  • They show the relative size of categories of data compared to each other

    • rather than their actual size or number

      • e.g. looking at the proportions of men and women working for a company, we might be more interested in the relative sizes of the groups than in the actual numbers of men and women

  • There are 360° in a circle

    • We can use this to help us calculate the size of each slice of the pie chart

How do I draw a pie chart?

  • This is shown easiest through an example

  • The following data is collected for a class of 30 students about their favourite colour

Colour

Red

Purple

Blue

Green

Yellow

Orange

Students

11

4

9

3

2

1

  • STEP 1
    Find the number of degrees that represents 1 student

    • There are 30 students in total, so 360° = 30 students

    • Divide both sides by 30, so 12° = 1 student

  • STEP 2
    Calculate the angle for each category by finding a fraction of 360°

    • 11 students out of 30 said red was their favourite colour,

      • so this is 11 over 30 cross times 360 degree equals 132 degree

    • 4 students out of 30 said purple,

      • so this is 4 over 30 cross times 360 degree equals 48 degree

    • Repeat this for each category, they should sum to 360° in total

Colour

Red

Purple

Blue

Green

Yellow

Orange

Students

11

4

9

3

2

1

Angle

132°

48°

108°

36°

24°

12°

  • STEP 3
    Draw the pie chart, using a protractor to measure the angles

    • Start by drawing a vertical line from the centre of the circle to the top (“12 o’clock”)

    • Then use your protractor to measure the first angle and draw a line to this point

    • Move your protractor to this line, and repeat for the next category

    • Continue until the slices for all the categories are drawn

    • You should include a key or labels to show which slice represents which category

Protractor measuring 132 degrees
Protractor measuring 48 degree angle
5B7-ZLel_cie-igcse-pie-chart-colours

How do I interpret a pie chart or find missing information?

  • It is easy to spot from a pie chart which category is the largest or smallest proportion

    • But you may be asked to do something more advanced like finding some

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