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Free Grade 3 Introducing Mode Word Problems Quizzes

Free Grade 3 quizzes for Introducing Mode 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

20 min

Total marks

24

Learning objectives

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

  • RememberIdentify introducing mode word problems

    Identify introducing mode word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing mode word problems

    Explain introducing mode word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing mode word problems

    Calculate introducing mode word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing mode word problems

    Compare introducing mode 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 Introducing Mode 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 5, 6, 9, 12, 14, find the mean, median, mode and range.[1]
  2. 2.For the data 2, 12, 12, 19, 19, find the mean, median, mode and range.[1]
  3. 3.For the data 7, 8, 14, 16, 18, find the mean, median, mode and range.[1]
  4. 4.For the data 9, 12, 13, 13, 17, find the mean, median, mode and range.[1]
  5. 5.For the data 2, 2, 12, 26, 33, 34, 36, find the mean, median, mode and range.[2]
  6. 6.For the data 8, 12, 13, 15, 17, 17, 26, find the mean, median, mode and range.[2]
  7. 7.For the data 2, 11, 14, 14, 22, 29, 39, find the mean, median, mode and range.[2]
  8. 8.For the data 1, 4, 8, 14, 17, 23, 34, find the mean, median, mode and range.[2]
  9. 9.For the data 6, 8, 10, 11, 21, 29, 39, 39, 48, find the mean, median, mode and range.[3]
  10. 10.For the data 5, 15, 21, 30, 45, 50, 53, 58, 58, find the mean, median, mode and range.[3]
  11. 11.For the data 1, 4, 19, 20, 21, 29, 40, 46, 58, find the mean, median, mode and range.[3]
  12. 12.For the data 1, 16, 19, 20, 24, 33, 38, 45, 59, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 9.2, median 9, mode none, range 9

    Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 14 − 5 = 9.

  2. 2. Mean 12.8, median 12, mode 12 and 19, range 17

    Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 12. Mode = most common = 12 and 19. Range = 19 − 2 = 17.

  3. 3. Mean 12.6, median 14, mode none, range 11

    Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 18 − 7 = 11.

  4. 4. Mean 12.8, median 13, mode 13, range 8

    Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 13. Mode = most common = 13. Range = 17 − 9 = 8.

  5. 5. Mean 20.71, median 26, mode 2, range 34

    Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 26. Mode = most common = 2. Range = 36 − 2 = 34.

  6. 6. Mean 15.43, median 15, mode 17, range 18

    Mean = 108 ÷ 7 = 15.43. Median = middle value in order = 15. Mode = most common = 17. Range = 26 − 8 = 18.

  7. 7. Mean 18.71, median 14, mode 14, range 37

    Mean = 131 ÷ 7 = 18.71. Median = middle value in order = 14. Mode = most common = 14. Range = 39 − 2 = 37.

  8. 8. Mean 14.43, median 14, mode none, range 33

    Mean = 101 ÷ 7 = 14.43. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 34 − 1 = 33.

  9. 9. Mean 23.44, median 21, mode 39, range 42

    Mean = 211 ÷ 9 = 23.44. Median = middle value in order = 21. Mode = most common = 39. Range = 48 − 6 = 42.

  10. 10. Mean 37.22, median 45, mode 58, range 53

    Mean = 335 ÷ 9 = 37.22. Median = middle value in order = 45. Mode = most common = 58. Range = 58 − 5 = 53.

  11. 11. Mean 26.44, median 21, mode none, range 57

    Mean = 238 ÷ 9 = 26.44. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 58 − 1 = 57.

  12. 12. Mean 28.33, median 24, mode none, range 58

    Mean = 255 ÷ 9 = 28.33. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 59 − 1 = 58.

Worked examples

Easy example

For the data 1, 14, 14, 14, 16, find the mean, median, mode and range.

  1. Mean = 59 ÷ 5 = 11.8.
  2. Median = middle value in order = 14.
  3. Mode = most common = 14.
  4. Range = 16 − 1 = 15.
  5. Answer: Mean 11.8, median 14, mode 14, range 15
Medium example

For the data 11, 13, 13, 21, 36, 40, 40, find the mean, median, mode and range.

  1. Mean = 174 ÷ 7 = 24.86.
  2. Median = middle value in order = 21.
  3. Mode = most common = 13 and 40.
  4. Range = 40 − 11 = 29.
  5. Answer: Mean 24.86, median 21, mode 13 and 40, range 29
Hard example

For the data 18, 19, 23, 32, 39, 47, 49, 51, 52, find the mean, median, mode and range.

  1. Mean = 330 ÷ 9 = 36.67.
  2. Median = middle value in order = 39.
  3. Mode = most common = no repeated value.
  4. Range = 52 − 18 = 34.
  5. Answer: Mean 36.67, median 39, mode none, range 34

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-365.1 — Mapped statement covering Introducing Mode Word Problems.FBISE FBI-731.2 — Mapped statement covering Introducing Mode Word Problems.

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Frequently asked

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

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