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Workers in an office of 60 staff were asked their favourite type of take-away.

The results are summarised in the table.


Take-away Frequency Angle

Pizza 3

a

Curry 10

b

Fish & chips 14

c

Kebab 19

d

Other 14

e

Work out the size of each angle to draw a pie chart.

Workers in an office of 60 staff were asked their favourite type of take-away. The-example-1

1 Answer

2 votes

Answer:

To find the angle for each category, we need to calculate the percentage of the total frequency for each category, and then multiply by 360 (the total number of degrees in a circle).

The total frequency is:

3 + 10 + 14 + 19 + 14 = 60

The percentage of the total frequency for each category is:

Pizza: 3/60 x 100% = 5%

Curry: 10/60 x 100% = 16.67%

Fish & chips: 14/60 x 100% = 23.33%

Kebab: 19/60 x 100% = 31.67%

Other: 14/60 x 100% = 23.33%

To find the angle for each category, we multiply the percentage by 360:

Pizza: 5% x 360 = 18 degrees

Curry: 16.67% x 360 = 60 degrees

Fish & chips: 23.33% x 360 = 84 degrees

Kebab: 31.67% x 360 = 114 degrees

Other: 23.33% x 360 = 84 degrees

So the table with the angles for each category is:

Take-away Frequency Angle

Pizza 3 18°

Curry 10 60°

Fish & chips 14 84°

Kebab 19 114°

Other 14 84°

User Paul Calcraft
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