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Interpret Pie Charts

In this worksheet, students practise interpreting pie charts.

'Interpret Pie Charts' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR

Curriculum topic:   Statistics

Curriculum subtopic:   Statistics, Interpreting and Representing Data

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Pie charts are an incredibly useful tool for displaying data. They are clear, concise, easy to read and almost universalyunderstood.

 

When you are interpreting a pie chart, you have to understand that a pie chart doesn't show the actual amounts on the chart, it only shows proportions (Fractions, Decimals or Percentages).

 

The only way you can work out how much each slice of the pie represents is if you are told what part of it (or the whole chart) represents.

 

Example 1: What proportion of this pie chart represents Silver?

The good think about this question is that, unless it is incredibly clear what proportion you have, you get a bit of leeway.

In this the silver is worth between 1/4 and 1/2 of the chart. This would be in the region of 3/8 of the chart (this could also be written as 37.5 % or 0.375

 

Example 2: A pie chart represents the colour of 40 cars. How many were red?

We can see that red is exactly 1/4 (25%) of the chart, so we need to find what 1/4 of the 40 is. 1/4 x 40 = 10 cars

In a pie chart, the sections represent the...

What proportion of this pie chart represents Red?

You can give your answer as either a fraction, decimal or percentage.

What proportion of this pie chart represents Blue?

You can give your answer as either a fraction, decimal or percentage.

What proportion of this pie chart represents Green?

You can give your answer as either a fraction, decimal or percentage.

1/8

12.5%

0.125

10 people

60 people were asked about their hair colour and the following graph was produced.

How many people had blonde hair?

60 people were asked about their hair colour and the following graph was produced.

How many didn't have blonde or brunette hair?

1/4

15

60 people were asked about their hair colour and the following graph was produced.

How many more people had brunette hair than Blonde?

180 people were asked what colour their car was. if 45 people had a red car, how many were asked in total?

180 people were asked what colour their car was. What is the most common car colour.

Red

Silver

Blue

Green

Robbie looks at these two pie charts and says 'there are more red haired children than adults'.

 

Is he correct?

Yes

No

  • Question 1

In a pie chart, the sections represent the...

CORRECT ANSWER
EDDIE SAYS
Remember, you can't find the exact amount unless you know what the whole is worth. You can only find the proportions.
  • Question 2

What proportion of this pie chart represents Red?

You can give your answer as either a fraction, decimal or percentage.

CORRECT ANSWER
1/4
25
0.25
EDDIE SAYS
This section does look like its worth 90° (and it is) out of the total of 360° This makes the proportion 1/4 (25% and 0.25)
  • Question 3

What proportion of this pie chart represents Blue?

You can give your answer as either a fraction, decimal or percentage.

CORRECT ANSWER
1/4
25
0.25
EDDIE SAYS
Sometimes you need to either measure the angle or turn the pie chart around (but we can't do that on a computer). If I measure the angle of Blue I will get 90° This makes the proportion 1/4 (25% and 0.25)
  • Question 4

What proportion of this pie chart represents Green?

You can give your answer as either a fraction, decimal or percentage.

CORRECT ANSWER
1/8
12.5%
0.125
EDDIE SAYS
This can be given as any one of fraction, decimal or percentage. We can't give it as a number because we haven't been told what the total pie chart represents.
  • Question 5

60 people were asked about their hair colour and the following graph was produced.

How many people had blonde hair?

CORRECT ANSWER
30
EDDIE SAYS
Brunette is the brown bit at the bottom which is half of the entire pie chart. 1/2 of 60 is ...
  • Question 6

60 people were asked about their hair colour and the following graph was produced.

How many didn't have blonde or brunette hair?

CORRECT ANSWER
15
EDDIE SAYS
This is a 'make sure you read it properly' question, Firstly, it asks for the ones who don't have blonde or brunette. This leaves 1/4 of the graph But the question asks 'How many' not 'What proportion' 1/4 of 60 is ...
  • Question 7

60 people were asked about their hair colour and the following graph was produced.

How many more people had brunette hair than Blonde?

CORRECT ANSWER
15
EDDIE SAYS
This is a 'make sure you read it properly' question, The key word is 'more'. We need to find out the totals for brunette and blonde then find the difference. Brunette is 30 people Blonde is 15 people
  • Question 8

180 people were asked what colour their car was. if 45 people had a red car, how many were asked in total?

CORRECT ANSWER
180
EDDIE SAYS
This is a little bit backwards. We can see that red is 1/4 of the graph. If 1/4 of the graph is 45 people, 1/2 is 90 people so the whole is...
  • Question 9

180 people were asked what colour their car was. What is the most common car colour.

CORRECT ANSWER
Blue
EDDIE SAYS
I've seen people overthink this question so many times. All we need to do is say which has the biggest slice, this means it has the biggest proportion so it is the most common.
  • Question 10

Robbie looks at these two pie charts and says 'there are more red haired children than adults'.

 

Is he correct?

CORRECT ANSWER
No
EDDIE SAYS
We can only say this if we know how many red headed children and adults there are. Are we told anywhere in this question what each pie is worth? He could have said \'There is a greater proportion of redheads in the children than the adults.\'
---- OR ----

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