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Grade 7 Work Back from a Mean Worksheets

Use a mean that is given to recover a value that is not.

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Data Handling · Grade 7

Grade
Topic
SkillEach skill is a different kind of question, with its own levels.
Level
Questions
10

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Grade 7 · 3 pages · A4

Data Handling Practice

Grade 7 • Work Back from a Mean • The score still needed
Name:Date:

Work out the score still needed to reach the mean.

  1. 1) Elif needs a mean of 14 from 5 tests. So far: 7, 16, 17, 26. What must the last score be?
    Answer:
  1. 2) Chen needs a mean of 16 from 5 tests. So far: 2, 15, 30, 25. What must the last score be?
    Answer:
  1. 3) Bilal needs a mean of 13 from 5 tests. So far: 2, 24, 2, 3. What must the last score be?
    Answer:
  1. 4) Imran needs a mean of 7 from 5 tests. So far: 8, 9, 2, 2. What must the last score be?
    Answer:
  1. 5) Imran needs a mean of 13 from 5 tests. So far: 13, 23, 16, 2. What must the last score be?
    Answer:
  1. 6) Elif needs a mean of 9 from 5 tests. So far: 2, 16, 12, 13. What must the last score be?
    Answer:
  1. 7) Chen needs a mean of 14 from 5 tests. So far: 14, 16, 15, 10. What must the last score be?
    Answer:
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Page 1 of 3

Work out the score still needed to reach the mean. (continued)

  1. 8) Hugo needs a mean of 15 from 5 tests. So far: 27, 9, 7, 18. What must the last score be?
    Answer:
  1. 9) Amira needs a mean of 17 from 5 tests. So far: 7, 29, 18, 8. What must the last score be?
    Answer:
  1. 10) Gita needs a mean of 12 from 5 tests. So far: 15, 20, 2, 12. What must the last score be?
    Answer:
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Page 2 of 3

Answer Key

  1. 1. 4
  2. 2. 8
  3. 3. 34
  4. 4. 14
  1. 5. 11
  2. 6. 2
  3. 7. 15
  4. 8. 14
  1. 9. 23
  2. 10. 11
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Page 3 of 3

What each level generates

Grade 7 work back from a mean — the exact skill behind each difficulty setting, straight from the generator.

  1. Level 1The last value
  2. Level 2The score still needed
  3. Level 3The total behind the mean

Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →

More Grade 7 data handling skills

Each one generates a different kind of question, with its own three levels and answer key.

Frequently asked questions

▸What is expected of Grade 7 data handling?

Using measures of centre and of spread to compare two sets of data and draw informal conclusions about them. These sheets cover exactly that, plus working backwards from a mean to a missing value.

▸How do you compare two data sets?

Work out a measure of centre for each — usually the mean — and then look at how spread out each set is. Two sets can share a mean and still be very different, which is why both are needed.

▸How do you find a missing value when the mean is given?

Multiply the mean by how many values there are to get the total, then subtract the values you already have. What remains is the missing one.

▸Do these sheets use box plots or scatter graphs?

No. Every question is answered from written data. Box plots and scatter graphs both need a drawn axis, which these sheets do not print.

▸Are the means always whole numbers?

Yes. The sets are constructed so both means come out exactly, which keeps a comparison question about the comparison rather than about rounding.