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Year 8

Comparing statistical representations

I can see that different statistical representations offer different insights into a set of data.

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New

Year 8

Comparing statistical representations

I can see that different statistical representations offer different insights into a set of data.

Download all resources

Share activities with pupils

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Lesson details

Key learning points

A pie chart and a bar chart offer different insights.
There are more ways you can represent data.
There are certain features of any representation that make it useful.

Keywords

Pie chart - A pie chart (pie graph) is a circular graph where sectors represent different groups proportionally.
Bar chart - A bar chart (bar graph) is a graph consisting of bars visually representing the frequency of objects or groups.

Common misconception

Pie charts but not bar charts can show what proportion of a dataset a particular subgroup represents

You can figure out proportion from a bar chart by comparing the frequency of one subgroup to the total frequency, by adding heights of bars.

In cycle 3, which deals with interpreting other graphical representations, both the population pyramids and choropleth maps deal with grouped data. This will be done informally, and no use of inequality notation will be expected at this stage.

Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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Worksheet

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Starter quiz

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6 Questions

Q1.

The bar chart shows the weather over 40 days one winter. What is the modal type of weather?

dry

rain

hail

snow

Correct answer: wind

Q2.

The bar chart shows the weather over 40 days one winter. How many more days were dry than had hail? days.

Correct Answer: 8, eight

Q3.

The bar chart shows the weather over 40 days one winter. On what fraction of days did it rain? Give your answer in its simplest form.

1/5

1/40

Correct answer: 1/8

1/2

5/40

Q4.

This pie chart shows 60 vehicles that passed the road nearby a school. What is the modal vehicle that passed nearby the school?

motorbikes

vans

buses

Correct answer: cars

lorries

Q5.

This pie chart shows 60 vehicles that passed the road nearby a school. Which two vehicles were counted an equal number of times?

motorbikes

Correct answer: vans

Correct answer: buses

cars

lorries

Q6.

This pie chart shows 60 vehicles that passed the road nearby a school. Complete the statement: motorbikes passed nearby the school.

Correct Answer: 15, fifteen

Exit quiz

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6 Questions

Q1.

Match each statement to the graph (bar chart, pie chart, or both) from which the statement can most easily be found.

Correct Answer:Lunch was the modal meal,both

both

Correct Answer:A quarter were breakfast,pie chart

pie chart

Correct Answer:One more dinner than breakfast,bar chart

bar chart

Q2.

The pie chart and bar chart represent the same data set. Match the bars on the bar chart to the sectors of the pie chart.

Correct Answer:a,summer

summer

Correct Answer:b,autumn

autumn

Correct Answer:c,spring

spring

Q3.

The angle of the sector representing autumn on the pie chart is 90°. Using the bar chart, what will the angle of the sector representing spring on the pie chart be?

4°

20°

30°

Correct answer: 45°

90°

Q4.

The pie chart and bar chart represent the same data set. Which two school trips were equally popular?

theatre

Correct answer: museum

Correct answer: beach

concert

Q5.

The angle of the sectors for museum and beach are both 80°. What should the height of the bar representing theatre be on the bar chart?

Correct Answer: 20, twenty

Q6.

On this choropleth map, there is a new, quite densely populated settlement on the centre left of the map represented by 4 squares. The minimum population of this settlement is people.

Correct Answer: 2500, 2,500, 2 500