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Pie and Bar Graphs
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Pie and Bar Graphs
Read each question carefully. Show working for calculations. Use the data table when answering questions about the canteen survey.
Interpreting Graphs
1.A slice in a pie graph measures 72°. What percentage of the whole circle does the slice represent?
- 10%
- 15%
- 20%
- 25%
2.A school wants to compare the number of students in each year level. Which graph is the most suitable choice?
- A bar graph
- A pie graph
- A line graph
- A scatter plot
3.The canteen records that 30 of 150 students buy a toasted sandwich. What fraction of the students is this, in simplest form?
- 1/3
- 1/5
- 1/6
- 1/10
4.Which two features could make a data display misleading? Select both correct answers.
- The vertical scale uses unequal intervals
- The category axis is labelled clearly
- The vertical axis begins well above zero without being made clear
- Bars have different colours
Making and Using Graphs
A group of 60 students were asked which item they most often buy at the school canteen. Use these results for the next four questions.
Item
Students
Fruit cup
12
Wrap
18
Yoghurt
9
Sushi
15
Muffin
6
5.Calculate the central angle for each item in a pie graph of the canteen survey. Write each angle in degrees.
6.Draw a graph with bars to display the canteen survey results. Include a title, labels for both axes, evenly spaced scale intervals, and a bar for each item.
7.Complete the comparison using the survey data: The most popular item was , chosen by % of students.
8.Complete the comparison using the survey data: The least popular item was , chosen by % of students.
Thinking Critically
9.A community group publishes a pie graph about support for a new cycleway. The slice for people who support it is drawn much larger than its share of the responses. Describe one possible error in the graph and explain how it could affect a reader.
10.A graph compares afternoon temperatures in four New Zealand towns: 21°C, 18°C, 15°C and 12°C. Would a vertical scale starting at 0°C or 10°C give a fairer comparison? Explain one advantage and one risk of your choice.
11.Write three useful mathematical terms for discussing pie and bar graphs, and give a clear definition of each.
3 printable pages
Page 1
Page 2
Page 3
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