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Free Grade 3 Working with Introducing Range Techniques Quizzes

Free Grade 3 quizzes for Working with Introducing Range Techniques: 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

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 techniques

    Identify working with introducing range techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with introducing range techniques

    Explain working with introducing range techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with introducing range techniques

    Calculate working with introducing range techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with introducing range techniques

    Compare working with introducing range techniques 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 Techniques 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 5, 12, 13, 16, 19, find the mean, median, mode and range.[1]
  2. 2.For the data 8, 9, 10, 11, 11, find the mean, median, mode and range.[1]
  3. 3.For the data 10, 11, 12, 13, 20, find the mean, median, mode and range.[1]
  4. 4.For the data 1, 4, 15, 16, 16, find the mean, median, mode and range.[1]
  5. 5.For the data 1, 3, 6, 7, 12, 25, 27, find the mean, median, mode and range.[2]
  6. 6.For the data 12, 15, 22, 24, 24, 25, 27, find the mean, median, mode and range.[2]
  7. 7.For the data 3, 5, 15, 19, 20, 24, 30, find the mean, median, mode and range.[2]
  8. 8.For the data 1, 3, 4, 6, 9, 26, 39, find the mean, median, mode and range.[2]
  9. 9.For the data 5, 12, 20, 25, 42, 43, 46, 48, 55, find the mean, median, mode and range.[3]
  10. 10.For the data 16, 18, 22, 24, 33, 45, 46, 46, 48, find the mean, median, mode and range.[3]
  11. 11.For the data 4, 12, 14, 22, 28, 44, 47, 52, 58, find the mean, median, mode and range.[3]
  12. 12.For the data 4, 5, 5, 9, 11, 13, 32, 37, 55, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 13, median 13, mode none, range 14

    Mean = 65 ÷ 5 = 13. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 19 − 5 = 14.

  2. 2. Mean 9.8, median 10, mode 11, range 3

    Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 10. Mode = most common = 11. Range = 11 − 8 = 3.

  3. 3. Mean 13.2, median 12, mode none, range 10

    Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 20 − 10 = 10.

  4. 4. Mean 10.4, median 15, mode 16, range 15

    Mean = 52 ÷ 5 = 10.4. Median = middle value in order = 15. Mode = most common = 16. Range = 16 − 1 = 15.

  5. 5. Mean 11.57, median 7, mode none, range 26

    Mean = 81 ÷ 7 = 11.57. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 27 − 1 = 26.

  6. 6. Mean 21.29, median 24, mode 24, range 15

    Mean = 149 ÷ 7 = 21.29. Median = middle value in order = 24. Mode = most common = 24. Range = 27 − 12 = 15.

  7. 7. Mean 16.57, median 19, mode none, range 27

    Mean = 116 ÷ 7 = 16.57. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 30 − 3 = 27.

  8. 8. Mean 12.57, median 6, mode none, range 38

    Mean = 88 ÷ 7 = 12.57. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 39 − 1 = 38.

  9. 9. Mean 32.89, median 42, mode none, range 50

    Mean = 296 ÷ 9 = 32.89. Median = middle value in order = 42. Mode = most common = no repeated value. Range = 55 − 5 = 50.

  10. 10. Mean 33.11, median 33, mode 46, range 32

    Mean = 298 ÷ 9 = 33.11. Median = middle value in order = 33. Mode = most common = 46. Range = 48 − 16 = 32.

  11. 11. Mean 31.22, median 28, mode none, range 54

    Mean = 281 ÷ 9 = 31.22. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 58 − 4 = 54.

  12. 12. Mean 19, median 11, mode 5, range 51

    Mean = 171 ÷ 9 = 19. Median = middle value in order = 11. Mode = most common = 5. Range = 55 − 4 = 51.

Worked examples

Easy example

For the data 7, 9, 14, 16, 19, find the mean, median, mode and range.

  1. Mean = 65 ÷ 5 = 13.
  2. Median = middle value in order = 14.
  3. Mode = most common = no repeated value.
  4. Range = 19 − 7 = 12.
  5. Answer: Mean 13, median 14, mode none, range 12
Medium example

For the data 1, 1, 7, 7, 23, 34, 36, find the mean, median, mode and range.

  1. Mean = 109 ÷ 7 = 15.57.
  2. Median = middle value in order = 7.
  3. Mode = most common = 1 and 7.
  4. Range = 36 − 1 = 35.
  5. Answer: Mean 15.57, median 7, mode 1 and 7, range 35
Hard example

For the data 6, 11, 19, 23, 25, 37, 51, 53, 55, find the mean, median, mode and range.

  1. Mean = 280 ÷ 9 = 31.11.
  2. Median = middle value in order = 25.
  3. Mode = most common = no repeated value.
  4. Range = 55 − 6 = 49.
  5. Answer: Mean 31.11, median 25, mode none, range 49

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.

CBSE CBS-593.1 — Mapped statement covering Working with Introducing Range Techniques.COLLEGE-BOARD COL-818.2 — Mapped statement covering Working with Introducing Range Techniques.

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Frequently asked

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

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