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Maths

Pie charts and frequency diagrams

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Interpreting pie charts and frequency diagrams

Example

The pie chart below shows the heights (in cm) of 30 pupils in a class.

image: pie chart

The biggest slice of the pie chart contains the most people - 151-160cm.

Question

How many pupils are between 121-130cm tall?

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Answer

The angle of this section is 36 degrees. The question says there are 30 pupils in the class. So the number of pupils of height 121 - 130 cm is:

36/360 x 30 = 3

Example

A survey was conducted to determine the number of people in cars during rush hour. The results are shown in the frequency diagram below.

image: bar graph

Question

What is total number of cars in the survey?

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Answer

6 + 3 + 5 + 1 = 15

There are 6 cars with one person in, 3 cars with two people, 5 cars with three people, and 1 car with four people.

Question

What is the most likely number of people in a car?

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Answer

1.

Cars in the survey are most likely to have 1 person in them as this is the tallest bar - 6 of the cars in the survey had one occupant.

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