Frequency tables, bar charts and pie charts · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Choosing and drawing the right chart

Mathematics · Data & Statistics · ages 11-13
Name ______________________   Date ____________

  1. Maya recorded the temperature in her garden at 9 am every day for two weeks. Which chart is the best choice to show how the temperature changed over time?

    • A line graph
    • A pie chart
    • A pictogram
    • A bar chart

  2. To turn a category's frequency into a pie chart angle, what do you multiply the fraction (frequency divided by total) by?

    • 100
    • 360
    • 180

  3. A bar chart shows City A had 10 rainy days and City B had 6.

    City A10City B6

    Circle one:   True   False

  4. Data ranges from 12 to 78. Which set of class intervals is correct, with equal width and no gaps or overlaps?

    • 0-20, 21-30, 31-50
    • 0-19, 20-39, 40-59, 60-79
    • 0-19, 21-39, 40-59, 61-79

  5. This bar chart shows goals scored by two teams this season. How many more goals did Team Red score than Team Blue?

    Team Red12Team Blue9

    Answer: ______________

  6. In a survey of 24 children about their favorite pet, 10 chose dog, 6 chose cat, 4 chose rabbit, and 4 chose other. You draw a pie chart of the results. What angle in degrees should the dog slice have?

    Answer: ______________

  7. A class opens 10 packs of Starburst candies and counts the yellow ones in each pack. The counts are 1, 2, 0, 1, 3, 2, 1, 0, 2, 1. Which frequency table shows these results correctly?

    • 0 yellows: 2 packs, 1 yellow: 4 packs, 2 yellows: 3 packs, 3 yellows: 1 pack
    • 0 yellows: 1 pack, 1 yellow: 4 packs, 2 yellows: 4 packs, 3 yellows: 1 pack
    • 0 yellows: 2 packs, 1 yellow: 3 packs, 2 yellows: 3 packs, 3 yellows: 2 packs
    • 0 yellows: 3 packs, 1 yellow: 4 packs, 2 yellows: 2 packs, 3 yellows: 1 pack

  8. A scientist measures the heights of 30 plants, ranging from 15 cm to 84 cm. Which class width keeps the frequency table clear, with about 5 to 8 groups?

    • 1 cm
    • 50 cm
    • 10 cm

  9. Ben surveyed 40 people on their favourite sport and calculated pie chart angles: football 20 people at 180°, tennis 12 people at 108°, swimming 8 people at 90°. Something is wrong. What is it?

    • The swimming angle is wrong, it should be 72°
    • The football angle is wrong
    • The tennis angle is wrong

  10. Data ranges from 3 to 97. You want about 10 equal-width class intervals covering the whole range. What width should each class have, rounded up to a whole number?

    Answer: ______________

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Answer key

For grown-ups. Fold this page away before handing over the rest.

Choosing and drawing the right chart W1-mt_eKJG-0eC6D-s1

  1. A line graph · The data changes from day to day, and a line graph is built to show change over time.
  2. 360 · A full circle is 360 degrees, so multiplying by 360 shares it out fairly by frequency.
  3. True · City A's bar is taller, so City A had more rainy days.
  4. 0-19, 20-39, 40-59, 60-79 · Each group is 20 wide with no gaps between them, and together they cover the whole range.
  5. 3 · 12 minus 9 equals 3, so Team Red scored 3 more goals.
  6. 150 · The dog share is 10 out of 24, and 10/24 of 360 degrees is 150 degrees.
  7. 0 yellows: 2 packs, 1 yellow: 4 packs, 2 yellows: 3 packs, 3 yellows: 1 pack · Tallying each value gives 0 twice, 1 four times, 2 three times, and 3 once, which adds to 10 packs.
  8. 10 cm · 10 cm groups give about 7 groups across this range. 1 cm makes far too many groups, and 50 cm hides all the detail.
  9. The swimming angle is wrong, it should be 72° · 8 divided by 40 times 360 equals 72 degrees, not 90. The three angles should add up to 360, and 180 plus 108 plus 72 does.
  10. 10 · The range is 94. 94 divided by 10 is 9.4, so round up to 10 to make sure every value fits with no gaps.
Worksheet · LightMySky