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Free Grade 3 Working with Averages from Tables Quizzes

Free Grade 3 quizzes for Working with Averages from Tables: 12 real questions with a full answer key and worked solutions. The mean is the total divided by how many values. The median is the middle value in order. The mode is the most common. The range is largest minus smallest.

Price

Free

Difficulty

Foundation

Estimated time

35 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • UnderstandExplain working with averages from tables

    Explain working with averages from tables accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with averages from tables

    Calculate working with averages from tables accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with averages from tables

    Compare working with averages from tables accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify working with averages from tables

    Justify working with averages from tables accurately in a familiar context.

    Assessed by: Exit ticket of four short items

Prerequisites

Close these gaps first — each has its own free lesson, worksheet and quiz.

How Working with Averages from Tables works

The mean is the total divided by how many values. The median is the middle value in order. The mode is the most common. The range is largest minus smallest.

Key wordsmeanmedianmoderangedata

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.For the data 2, 3, 7, 13, 14, find the mean, median, mode and range.[1]
  2. 2.For the data 5, 6, 6, 7, 7, find the mean, median, mode and range.[1]
  3. 3.For the data 1, 2, 7, 8, 15, find the mean, median, mode and range.[1]
  4. 4.For the data 4, 5, 9, 13, 20, find the mean, median, mode and range.[1]
  5. 5.For the data 11, 15, 17, 22, 24, 32, 40, find the mean, median, mode and range.[2]
  6. 6.For the data 7, 17, 18, 19, 20, 27, 35, find the mean, median, mode and range.[2]
  7. 7.For the data 10, 15, 20, 28, 31, 35, 40, find the mean, median, mode and range.[2]
  8. 8.For the data 7, 15, 19, 21, 29, 30, 36, find the mean, median, mode and range.[2]
  9. 9.For the data 11, 18, 19, 29, 30, 38, 52, 52, 57, find the mean, median, mode and range.[3]
  10. 10.For the data 7, 27, 35, 36, 37, 53, 53, 56, 57, find the mean, median, mode and range.[3]
  11. 11.For the data 5, 18, 20, 24, 24, 47, 51, 54, 60, find the mean, median, mode and range.[3]
  12. 12.For the data 1, 3, 9, 17, 23, 31, 45, 48, 57, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 7.8, median 7, mode none, range 12

    Mean = 39 ÷ 5 = 7.8. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 14 − 2 = 12.

  2. 2. Mean 6.2, median 6, mode 6 and 7, range 2

    Mean = 31 ÷ 5 = 6.2. Median = middle value in order = 6. Mode = most common = 6 and 7. Range = 7 − 5 = 2.

  3. 3. Mean 6.6, median 7, mode none, range 14

    Mean = 33 ÷ 5 = 6.6. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 15 − 1 = 14.

  4. 4. Mean 10.2, median 9, mode none, range 16

    Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 20 − 4 = 16.

  5. 5. Mean 23, median 22, mode none, range 29

    Mean = 161 ÷ 7 = 23. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 40 − 11 = 29.

  6. 6. Mean 20.43, median 19, mode none, range 28

    Mean = 143 ÷ 7 = 20.43. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 35 − 7 = 28.

  7. 7. Mean 25.57, median 28, mode none, range 30

    Mean = 179 ÷ 7 = 25.57. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 40 − 10 = 30.

  8. 8. Mean 22.43, median 21, mode none, range 29

    Mean = 157 ÷ 7 = 22.43. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 36 − 7 = 29.

  9. 9. Mean 34, median 30, mode 52, range 46

    Mean = 306 ÷ 9 = 34. Median = middle value in order = 30. Mode = most common = 52. Range = 57 − 11 = 46.

  10. 10. Mean 40.11, median 37, mode 53, range 50

    Mean = 361 ÷ 9 = 40.11. Median = middle value in order = 37. Mode = most common = 53. Range = 57 − 7 = 50.

  11. 11. Mean 33.67, median 24, mode 24, range 55

    Mean = 303 ÷ 9 = 33.67. Median = middle value in order = 24. Mode = most common = 24. Range = 60 − 5 = 55.

  12. 12. Mean 26, median 23, mode none, range 56

    Mean = 234 ÷ 9 = 26. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 57 − 1 = 56.

Worked examples

Easy example

For the data 6, 9, 11, 12, 19, find the mean, median, mode and range.

  1. Mean = 57 ÷ 5 = 11.4.
  2. Median = middle value in order = 11.
  3. Mode = most common = no repeated value.
  4. Range = 19 − 6 = 13.
  5. Answer: Mean 11.4, median 11, mode none, range 13
Medium example

For the data 11, 14, 17, 25, 27, 28, 31, find the mean, median, mode and range.

  1. Mean = 153 ÷ 7 = 21.86.
  2. Median = middle value in order = 25.
  3. Mode = most common = no repeated value.
  4. Range = 31 − 11 = 20.
  5. Answer: Mean 21.86, median 25, mode none, range 20
Hard example

For the data 3, 6, 20, 29, 44, 45, 45, 45, 51, find the mean, median, mode and range.

  1. Mean = 288 ÷ 9 = 32.
  2. Median = middle value in order = 44.
  3. Mode = most common = 45.
  4. Range = 51 − 3 = 48.
  5. Answer: Mean 32, median 44, mode 45, range 48

Interactive practice

Free, no account required — answer on screen or print it.

Common mistakes

What learners typically get wrong, and how to fix it.

  • Finds the median without ordering the data.

    Correction: Always put the numbers in order first.

  • Gives the range as the two end numbers.

    Correction: Range is one number: largest minus smallest.

Teacher tips

  • · Collect real class data (heights, shoe sizes).

Parent tips

  • · Work out your average bedtime over a week.

Real-life applications

  • · Sports averages, typical prices, test scores.

Assessment objectives

How mastery is evidenced, and which standards it maps to.

EDEXCEL EDE-265.1 — Mapped statement covering Working with Averages from Tables.CBSE CBS-334.2 — Mapped statement covering Working with Averages from Tables.

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Frequently asked

Is this Grade 3 Working with Averages from Tables quiz really free?
Yes. Every quizzes on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
What should a learner already know before this?
Start with Introducing Averages from Tables, Range. Each one has its own free lesson, worksheet and quiz.
How is the quiz sequenced?
Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
What comes next after Working with Averages from Tables?
Move on to Averages from Tables in Context, Mean, Median, Mode, which build directly on this idea.

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