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Data and charts · Ages 11–12

Choosing charts, and charts that mislead worksheet

Part of: Line graphs, the mean (average) and pie charts

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Choosing charts, and charts that mislead worksheet

Data and charts · Ages 11–12

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Name:Date:Score:/48

Write each answer in the space. For word problems, show your working and write a sentence answer.

Part A: Working out and filling in (2 marks each)

  1. 1.This chart's scale doesn't start at 0. A's bar looks times as tall as B's; in fact A is only more than B.

    Fill in each blank

    Answer:

Part B: Choose, or true or false (2 marks each)

  1. 2.Chi-keung records a plant's height every week for 8 weeks, to see how it changes. Which chart suits it best?

    • A. Pictogram
    • B. Pie chart
    • C. Line graph
    • D. Bar chart

    Choose the right answer

    Answer:

  2. 3.Ka-lok records the temperature at noon every day for a week, to see how it rises and falls. Which chart suits it best?

    • A. Bar chart
    • B. Pie chart
    • C. Line graph
    • D. Pictogram

    Choose the right answer

    Answer:

  3. 4.Tsz-hin records the temperature at noon every day for a week, to see how it rises and falls. Which chart suits it best?

    • A. Pictogram
    • B. Line graph
    • C. Bar chart
    • D. Pie chart

    Choose the right answer

    Answer:

  4. 5.Chi-keung records a plant's height every week for 5 weeks, to see how it changes. Which chart suits it best?

    • A. Line graph
    • B. Pie chart
    • C. Pictogram
    • D. Bar chart

    Choose the right answer

    Answer:

  5. 6.Ka-yee records a plant's height every week for 12 weeks, to see how it changes. Which chart suits it best?

    • A. Line graph
    • B. Pictogram
    • C. Bar chart
    • D. Pie chart

    Choose the right answer

    Answer:

  6. 7.Ka-yee's family spends $24,000 a month and wants to show what share goes on food, transport, rent and the rest. Which chart suits it best?

    • A. Pie chart
    • B. Pictogram
    • C. Line graph
    • D. Bar chart

    Choose the right answer

    Answer:

  7. 8.Four branches sold bread last week, the most being 590 loaves. To compare how many each sold and which sold most, which chart suits it best?

    • A. Line graph
    • B. Pie chart
    • C. Pictogram
    • D. Bar chart

    Choose the right answer

    Answer:

  8. 9.This bar chart's scale starts at 0.

    True or false?

    Answer:

  9. 10.Four branches sold bread last week, the most being 870 loaves. To compare how many each sold and which sold most, which chart suits it best?

    • A. Pie chart
    • B. Bar chart
    • C. Line graph
    • D. Pictogram

    Choose the right answer

    Answer:

  10. 11.Tsz-hin's family spends $11,000 a month and wants to show what share goes on food, transport, rent and the rest. Which chart suits it best?

    • A. Pictogram
    • B. Pie chart
    • C. Bar chart
    • D. Line graph

    Choose the right answer

    Answer:

  11. 12.Which of these makes a chart misleading?

    • A. A bar chart's scale starts at 80, with no warning
    • B. A bar chart's scale starts at 0, 20 a square
    • C. A pie chart's parts add up to 100%
    • D. A line graph's bottom axis is in time order

    Choose the right answer

    Answer:

Part C: Word problems (4 marks each)

  1. 13.A tourism office wants to show how visitor numbers changed year by year over the last 11 years. Which chart suits it best?

    • A. Line graph
    • B. Pie chart
    • C. Pictogram
    • D. Bar chart

    Choose the right answer

    Working:

    Answer:

  2. 14.A leaflet's pie chart says A is 36%, B 40% and C 29%, and that's all. By how many percentage points do the parts add up to more than 100%?

    Working:

    Answer:

  3. 15.An advert's bar chart compares last month's sales of A and B juice (boxes), A's bar looking far taller. How many more boxes did A really sell than B?

    Working:

    Answer:

  4. 16.A summer camp of 30 wants to show what share of lunchtime goes on eating, resting, reading and games. Which chart suits it best?

    • A. Pictogram
    • B. Bar chart
    • C. Pie chart
    • D. Line graph

    Choose the right answer

    Working:

    Answer:

  5. 17.A summer camp of 43 wants to show what share of lunchtime goes on eating, resting, reading and games. Which chart suits it best?

    • A. Pie chart
    • B. Pictogram
    • C. Line graph
    • D. Bar chart

    Choose the right answer

    Working:

    Answer:

  6. 18.A tourism office wants to show how visitor numbers changed year by year over the last 20 years. Which chart suits it best?

    • A. Pictogram
    • B. Pie chart
    • C. Line graph
    • D. Bar chart

    Choose the right answer

    Working:

    Answer:

Show the answers and working

Choosing charts, and charts that mislead worksheet: Answers and working

Part A: Working out and filling in

  1. 1. 4, 30

    The scale starts at 30. First see how many squares tall each bar is, then read the real numbers.

    Measured from 30, the bars stand 30 + 10 against 10; the real numbers are 70 and 40, only 30 apart.

Part B: Choose, or true or false

  1. 2. C. Line graph

    Chi-keung wants to see how the height changes over time. Which chart shows rises and falls best?

    A line graph shows how something changes over time.

  2. 3. C. Line graph

    Ka-lok wants to see how the temperature changes from day to day. Which chart shows rises and falls best?

    The temperature rises and falls day by day, and a line graph shows change over time, so a line graph.

  3. 4. B. Line graph

    Tsz-hin wants to see how the temperature changes from day to day. Which chart shows rises and falls best?

    The temperature rises and falls day by day, and a line graph shows change over time, so a line graph.

  4. 5. A. Line graph

    Chi-keung wants to see how the height changes over time. Which chart shows rises and falls best?

    A line graph shows how something changes over time.

  5. 6. A. Line graph

    Ka-yee wants to see how the height changes over time. Which chart shows rises and falls best?

    A line graph shows how something changes over time.

  6. 7. A. Pie chart

    What's shown is each part's share of the whole. Which chart splits a whole into parts?

    A pie chart shows each part's share of the whole.

  7. 8. D. Bar chart

    The aim is to compare each branch's number and find the most. Which chart makes heights easiest to compare?

    A bar chart compares how many there are of each.

  8. 9. False

    Look at the lowest number on the scale.

    Look at the lowest number on the scale: if it isn't 0, the difference in the bars is blown up.

  9. 10. B. Bar chart

    The aim is to compare each branch's number and find the most. Which chart makes heights easiest to compare?

    A bar chart compares how many there are of each.

  10. 11. B. Pie chart

    What's shown is each part's share of the whole. Which chart splits a whole into parts?

    A pie chart shows each part's share of the whole.

  11. 12. A. A bar chart's scale starts at 80, with no warning

    Think which one would make the bars' difference look bigger than it really is.

    A scale not starting at 0 blows up the difference in the bars, making it look much bigger.

Part C: Word problems

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

  1. 13. A. Line graph

    It's about how numbers change year by year. Which chart shows rises and falls over time best?

    A line graph shows how something changes over time.

  2. 14. 5 points

    Add 36, 40 and 29 first, then compare with 100.

    36 + 40 + 29 = 105, 5 over 100: the pie chart is wrong.

  3. 15. 120 boxes

    The bars can fool you: see where the scale starts, then read A's and B's real sales.

    Read the real numbers: A 580, B 460; 580 − 460 = 120. The scale starts at 400, making the gap look big.

  4. 16. C. Pie chart

    It's each activity's share of the whole time. Which chart splits a whole into parts?

    A pie chart shows each part's share of the whole.

  5. 17. A. Pie chart

    It's each activity's share of the whole time. Which chart splits a whole into parts?

    A pie chart shows each part's share of the whole.

  6. 18. C. Line graph

    It's about how numbers change year by year. Which chart shows rises and falls over time best?

    A line graph shows how something changes over time.

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