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Free Grade 3 Range in Context Word Problems Quizzes

Free Grade 3 quizzes for Range in Context Word Problems: 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

Stretch

Estimated time

25 min

Total marks

24

Learning objectives

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

  • RememberIdentify range in context word problems

    Identify range in context word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain range in context word problems

    Explain range in context word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate range in context word problems

    Calculate range in context word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare range in context word problems

    Compare range in context word problems 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 Range in Context Word Problems 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 4, 4, 12, 13, 15, find the mean, median, mode and range.[1]
  2. 2.For the data 2, 6, 18, 18, 20, find the mean, median, mode and range.[1]
  3. 3.For the data 3, 6, 8, 9, 20, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 5, 6, 7, 17, find the mean, median, mode and range.[1]
  5. 5.For the data 3, 26, 27, 29, 30, 30, 32, find the mean, median, mode and range.[2]
  6. 6.For the data 2, 6, 22, 25, 28, 35, 36, find the mean, median, mode and range.[2]
  7. 7.For the data 3, 5, 7, 14, 17, 30, 33, find the mean, median, mode and range.[2]
  8. 8.For the data 2, 12, 15, 16, 17, 30, 31, find the mean, median, mode and range.[2]
  9. 9.For the data 1, 12, 12, 13, 32, 34, 47, 49, 58, find the mean, median, mode and range.[3]
  10. 10.For the data 5, 5, 9, 13, 33, 35, 50, 52, 56, find the mean, median, mode and range.[3]
  11. 11.For the data 7, 13, 14, 26, 32, 46, 48, 52, 60, find the mean, median, mode and range.[3]
  12. 12.For the data 19, 22, 22, 23, 39, 40, 44, 44, 47, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 9.6, median 12, mode 4, range 11

    Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 12. Mode = most common = 4. Range = 15 − 4 = 11.

  2. 2. Mean 12.8, median 18, mode 18, range 18

    Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 18. Mode = most common = 18. Range = 20 − 2 = 18.

  3. 3. Mean 9.2, median 8, mode none, range 17

    Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 20 − 3 = 17.

  4. 4. Mean 7.4, median 6, mode none, range 15

    Mean = 37 ÷ 5 = 7.4. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 17 − 2 = 15.

  5. 5. Mean 25.29, median 29, mode 30, range 29

    Mean = 177 ÷ 7 = 25.29. Median = middle value in order = 29. Mode = most common = 30. Range = 32 − 3 = 29.

  6. 6. Mean 22, median 25, mode none, range 34

    Mean = 154 ÷ 7 = 22. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 36 − 2 = 34.

  7. 7. Mean 15.57, median 14, mode none, range 30

    Mean = 109 ÷ 7 = 15.57. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 33 − 3 = 30.

  8. 8. Mean 17.57, median 16, mode none, range 29

    Mean = 123 ÷ 7 = 17.57. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 31 − 2 = 29.

  9. 9. Mean 28.67, median 32, mode 12, range 57

    Mean = 258 ÷ 9 = 28.67. Median = middle value in order = 32. Mode = most common = 12. Range = 58 − 1 = 57.

  10. 10. Mean 28.67, median 33, mode 5, range 51

    Mean = 258 ÷ 9 = 28.67. Median = middle value in order = 33. Mode = most common = 5. Range = 56 − 5 = 51.

  11. 11. Mean 33.11, median 32, mode none, range 53

    Mean = 298 ÷ 9 = 33.11. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 60 − 7 = 53.

  12. 12. Mean 33.33, median 39, mode 22 and 44, range 28

    Mean = 300 ÷ 9 = 33.33. Median = middle value in order = 39. Mode = most common = 22 and 44. Range = 47 − 19 = 28.

Worked examples

Easy example

For the data 11, 15, 17, 19, 19, find the mean, median, mode and range.

  1. Mean = 81 ÷ 5 = 16.2.
  2. Median = middle value in order = 17.
  3. Mode = most common = 19.
  4. Range = 19 − 11 = 8.
  5. Answer: Mean 16.2, median 17, mode 19, range 8
Medium example

For the data 7, 16, 25, 25, 31, 36, 38, find the mean, median, mode and range.

  1. Mean = 178 ÷ 7 = 25.43.
  2. Median = middle value in order = 25.
  3. Mode = most common = 25.
  4. Range = 38 − 7 = 31.
  5. Answer: Mean 25.43, median 25, mode 25, range 31
Hard example

For the data 4, 6, 16, 26, 29, 36, 37, 43, 51, find the mean, median, mode and range.

  1. Mean = 248 ÷ 9 = 27.56.
  2. Median = middle value in order = 29.
  3. Mode = most common = no repeated value.
  4. Range = 51 − 4 = 47.
  5. Answer: Mean 27.56, median 29, mode none, range 47

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.

IB IB-229.1 — Mapped statement covering Range in Context Word Problems.EDEXCEL EDE-900.2 — Mapped statement covering Range in Context Word Problems.

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Frequently asked

Is this Grade 3 Range in Context Word Problems 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 Range in Context Techniques, Range in Context Essentials, Working with 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 Range in Context Word Problems?
Move on to Range in Context Common Errors, Introducing Range, Working with Range, which build directly on this idea.

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