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To construct a pie chart you need to work out the fraction of the total that the sector represents. You can then convert this to an angle and draw the sector on the chart.
The table below shows the grades achieved by 30 pupils in their end-of-year exam.
Grade | A | B | C | D | E |
---|---|---|---|---|---|
Frequency | 7 | 11 | 6 | 4 | 2 |
To show this information in a pie chart, take the following steps:
Work out the total number of pupils: 7 + 11 + 6 + 4 + 2 = 30
To work out the angle of each segment, work out the fraction of the total that got each grade.
Start with A grades: ^{7} /_{30}
There are 360° in a full turn, so to work out the angle, multiply the fraction by 360: ^{7} /_{30} × 360 = 84°
The grade A sector has an angle of 84°
Copy and complete the following table, then use the data to construct a pie chart.
Grade | Frequency | Angle |
---|---|---|
A | 7 |
^{7} /_{30} × 360 = 84° |
B | 11 | |
C | 6 | |
D | 4 | |
E | 2 |
Grade | Frequency | Angle |
---|---|---|
A | 7 |
^{7}/_{30} × 360 = 84° |
B | 11 |
^{11} /_{30} × 360 = 132° |
C | 6 |
^{6} /_{30} × 360 = 72° |
D | 4 |
^{4} /_{30} × 360 = 48° |
E | 2 |
^{2} /_{30} × 360 =24° |
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