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Free Grade 3 Range in Context Common Errors Quizzes

Free Grade 3 quizzes for Range in Context Common Errors: 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 common errors

    Identify range in context common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain range in context common errors

    Explain range in context common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate range in context common errors

    Calculate range in context common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare range in context common errors

    Compare range in context common errors 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 Common Errors 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 7, 7, 8, 13, 16, find the mean, median, mode and range.[1]
  2. 2.For the data 4, 8, 11, 12, 13, find the mean, median, mode and range.[1]
  3. 3.For the data 3, 6, 11, 12, 15, find the mean, median, mode and range.[1]
  4. 4.For the data 8, 10, 12, 12, 14, find the mean, median, mode and range.[1]
  5. 5.For the data 14, 18, 27, 27, 31, 38, 39, find the mean, median, mode and range.[2]
  6. 6.For the data 12, 18, 27, 35, 37, 39, 39, find the mean, median, mode and range.[2]
  7. 7.For the data 13, 15, 18, 19, 25, 30, 39, find the mean, median, mode and range.[2]
  8. 8.For the data 2, 12, 17, 26, 31, 33, 35, find the mean, median, mode and range.[2]
  9. 9.For the data 12, 29, 31, 34, 36, 50, 51, 59, 60, find the mean, median, mode and range.[3]
  10. 10.For the data 2, 10, 15, 27, 37, 40, 40, 41, 45, find the mean, median, mode and range.[3]
  11. 11.For the data 4, 5, 15, 32, 39, 42, 50, 54, 55, find the mean, median, mode and range.[3]
  12. 12.For the data 4, 8, 17, 19, 21, 33, 33, 43, 48, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 10.2, median 8, mode 7, range 9

    Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 8. Mode = most common = 7. Range = 16 − 7 = 9.

  2. 2. Mean 9.6, median 11, mode none, range 9

    Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 13 − 4 = 9.

  3. 3. Mean 9.4, median 11, mode none, range 12

    Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 15 − 3 = 12.

  4. 4. Mean 11.2, median 12, mode 12, range 6

    Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 12. Mode = most common = 12. Range = 14 − 8 = 6.

  5. 5. Mean 27.71, median 27, mode 27, range 25

    Mean = 194 ÷ 7 = 27.71. Median = middle value in order = 27. Mode = most common = 27. Range = 39 − 14 = 25.

  6. 6. Mean 29.57, median 35, mode 39, range 27

    Mean = 207 ÷ 7 = 29.57. Median = middle value in order = 35. Mode = most common = 39. Range = 39 − 12 = 27.

  7. 7. Mean 22.71, median 19, mode none, range 26

    Mean = 159 ÷ 7 = 22.71. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 39 − 13 = 26.

  8. 8. Mean 22.29, median 26, mode none, range 33

    Mean = 156 ÷ 7 = 22.29. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 35 − 2 = 33.

  9. 9. Mean 40.22, median 36, mode none, range 48

    Mean = 362 ÷ 9 = 40.22. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 60 − 12 = 48.

  10. 10. Mean 28.56, median 37, mode 40, range 43

    Mean = 257 ÷ 9 = 28.56. Median = middle value in order = 37. Mode = most common = 40. Range = 45 − 2 = 43.

  11. 11. Mean 32.89, median 39, mode none, range 51

    Mean = 296 ÷ 9 = 32.89. Median = middle value in order = 39. Mode = most common = no repeated value. Range = 55 − 4 = 51.

  12. 12. Mean 25.11, median 21, mode 33, range 44

    Mean = 226 ÷ 9 = 25.11. Median = middle value in order = 21. Mode = most common = 33. Range = 48 − 4 = 44.

Worked examples

Easy example

For the data 11, 12, 14, 17, 19, find the mean, median, mode and range.

  1. Mean = 73 ÷ 5 = 14.6.
  2. Median = middle value in order = 14.
  3. Mode = most common = no repeated value.
  4. Range = 19 − 11 = 8.
  5. Answer: Mean 14.6, median 14, mode none, range 8
Medium example

For the data 1, 4, 13, 13, 15, 21, 32, find the mean, median, mode and range.

  1. Mean = 99 ÷ 7 = 14.14.
  2. Median = middle value in order = 13.
  3. Mode = most common = 13.
  4. Range = 32 − 1 = 31.
  5. Answer: Mean 14.14, median 13, mode 13, range 31
Hard example

For the data 2, 3, 4, 11, 17, 17, 28, 44, 46, find the mean, median, mode and range.

  1. Mean = 172 ÷ 9 = 19.11.
  2. Median = middle value in order = 17.
  3. Mode = most common = 17.
  4. Range = 46 − 2 = 44.
  5. Answer: Mean 19.11, median 17, mode 17, range 44

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.

CAMBRIDGE CAM-470.1 — Mapped statement covering Range in Context Common Errors.NATIONAL-CURRICULUM NAT-390.2 — Mapped statement covering Range in Context Common Errors.

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Frequently asked

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

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