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Free Grade 3 Working with Introducing Range Word Problems Quizzes

Free Grade 3 quizzes for Working with Introducing Range 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

Core

Estimated time

15 min

Total marks

24

Learning objectives

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

  • RememberIdentify working with introducing range word problems

    Identify working with introducing range word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with introducing range word problems

    Explain working with introducing range word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with introducing range word problems

    Calculate working with introducing range word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with introducing range word problems

    Compare working with introducing range 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 Working with Introducing Range 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 1, 15, 15, 18, 18, find the mean, median, mode and range.[1]
  2. 2.For the data 7, 10, 12, 16, 18, find the mean, median, mode and range.[1]
  3. 3.For the data 4, 7, 11, 12, 12, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 3, 12, 15, 15, find the mean, median, mode and range.[1]
  5. 5.For the data 13, 15, 16, 23, 26, 32, 37, find the mean, median, mode and range.[2]
  6. 6.For the data 1, 7, 8, 24, 24, 26, 33, find the mean, median, mode and range.[2]
  7. 7.For the data 6, 12, 13, 20, 27, 38, 38, find the mean, median, mode and range.[2]
  8. 8.For the data 8, 13, 16, 22, 27, 29, 36, find the mean, median, mode and range.[2]
  9. 9.For the data 1, 15, 20, 24, 26, 34, 36, 37, 51, find the mean, median, mode and range.[3]
  10. 10.For the data 11, 11, 15, 16, 20, 30, 34, 38, 56, find the mean, median, mode and range.[3]
  11. 11.For the data 18, 19, 29, 33, 37, 37, 38, 49, 60, find the mean, median, mode and range.[3]
  12. 12.For the data 3, 6, 16, 21, 23, 38, 50, 54, 57, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 13.4, median 15, mode 15 and 18, range 17

    Mean = 67 ÷ 5 = 13.4. Median = middle value in order = 15. Mode = most common = 15 and 18. Range = 18 − 1 = 17.

  2. 2. Mean 12.6, median 12, mode none, range 11

    Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 18 − 7 = 11.

  3. 3. Mean 9.2, median 11, mode 12, range 8

    Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 11. Mode = most common = 12. Range = 12 − 4 = 8.

  4. 4. Mean 9.4, median 12, mode 15, range 13

    Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 12. Mode = most common = 15. Range = 15 − 2 = 13.

  5. 5. Mean 23.14, median 23, mode none, range 24

    Mean = 162 ÷ 7 = 23.14. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 37 − 13 = 24.

  6. 6. Mean 17.57, median 24, mode 24, range 32

    Mean = 123 ÷ 7 = 17.57. Median = middle value in order = 24. Mode = most common = 24. Range = 33 − 1 = 32.

  7. 7. Mean 22, median 20, mode 38, range 32

    Mean = 154 ÷ 7 = 22. Median = middle value in order = 20. Mode = most common = 38. Range = 38 − 6 = 32.

  8. 8. Mean 21.57, median 22, mode none, range 28

    Mean = 151 ÷ 7 = 21.57. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 36 − 8 = 28.

  9. 9. Mean 27.11, median 26, mode none, range 50

    Mean = 244 ÷ 9 = 27.11. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 51 − 1 = 50.

  10. 10. Mean 25.67, median 20, mode 11, range 45

    Mean = 231 ÷ 9 = 25.67. Median = middle value in order = 20. Mode = most common = 11. Range = 56 − 11 = 45.

  11. 11. Mean 35.56, median 37, mode 37, range 42

    Mean = 320 ÷ 9 = 35.56. Median = middle value in order = 37. Mode = most common = 37. Range = 60 − 18 = 42.

  12. 12. Mean 29.78, median 23, mode none, range 54

    Mean = 268 ÷ 9 = 29.78. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 57 − 3 = 54.

Worked examples

Easy example

For the data 3, 5, 6, 16, 16, find the mean, median, mode and range.

  1. Mean = 46 ÷ 5 = 9.2.
  2. Median = middle value in order = 6.
  3. Mode = most common = 16.
  4. Range = 16 − 3 = 13.
  5. Answer: Mean 9.2, median 6, mode 16, range 13
Medium example

For the data 1, 24, 26, 30, 31, 38, 39, find the mean, median, mode and range.

  1. Mean = 189 ÷ 7 = 27.
  2. Median = middle value in order = 30.
  3. Mode = most common = no repeated value.
  4. Range = 39 − 1 = 38.
  5. Answer: Mean 27, median 30, mode none, range 38
Hard example

For the data 4, 41, 44, 47, 48, 50, 52, 52, 56, find the mean, median, mode and range.

  1. Mean = 394 ÷ 9 = 43.78.
  2. Median = middle value in order = 48.
  3. Mode = most common = 52.
  4. Range = 56 − 4 = 52.
  5. Answer: Mean 43.78, median 48, mode 52, range 52

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.

AQA AQA-541.1 — Mapped statement covering Working with Introducing Range Word Problems.FBISE FBI-275.2 — Mapped statement covering Working with Introducing Range Word Problems.

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Frequently asked

Is this Grade 3 Working with Introducing Range 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 Rules and Methods in Introducing Range Word Problems, Key Vocabulary of Introducing Range Word Problems, Introducing Range Techniques. 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 Introducing Range Word Problems?
Move on to Introducing Range Word Problems in Examinations, Introducing Range Essentials, Introducing Range Techniques, Introducing Range Common Errors, which build directly on this idea.

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