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Free Grade 3 Mode Quizzes

Free Grade 3 quizzes for Mode: 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 mode

    Identify mode accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain mode

    Explain mode accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate mode

    Calculate mode accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare mode

    Compare mode 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 Mode 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 3, 7, 10, 15, 20, find the mean, median, mode and range.[1]
  2. 2.For the data 1, 3, 3, 9, 13, find the mean, median, mode and range.[1]
  3. 3.For the data 2, 4, 6, 13, 15, find the mean, median, mode and range.[1]
  4. 4.For the data 1, 5, 13, 14, 19, find the mean, median, mode and range.[1]
  5. 5.For the data 5, 14, 25, 25, 29, 36, 37, find the mean, median, mode and range.[2]
  6. 6.For the data 6, 17, 18, 18, 19, 23, 32, find the mean, median, mode and range.[2]
  7. 7.For the data 6, 7, 23, 25, 33, 33, 35, find the mean, median, mode and range.[2]
  8. 8.For the data 6, 8, 9, 20, 20, 34, 34, find the mean, median, mode and range.[2]
  9. 9.For the data 15, 19, 24, 33, 36, 47, 53, 55, 59, find the mean, median, mode and range.[3]
  10. 10.For the data 1, 3, 7, 9, 13, 18, 36, 42, 51, find the mean, median, mode and range.[3]
  11. 11.For the data 1, 2, 12, 17, 18, 18, 38, 56, 59, find the mean, median, mode and range.[3]
  12. 12.For the data 4, 6, 13, 13, 15, 27, 35, 37, 50, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 11, median 10, mode none, range 17

    Mean = 55 ÷ 5 = 11. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 20 − 3 = 17.

  2. 2. Mean 5.8, median 3, mode 3, range 12

    Mean = 29 ÷ 5 = 5.8. Median = middle value in order = 3. Mode = most common = 3. Range = 13 − 1 = 12.

  3. 3. Mean 8, median 6, mode none, range 13

    Mean = 40 ÷ 5 = 8. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 15 − 2 = 13.

  4. 4. Mean 10.4, median 13, mode none, range 18

    Mean = 52 ÷ 5 = 10.4. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 19 − 1 = 18.

  5. 5. Mean 24.43, median 25, mode 25, range 32

    Mean = 171 ÷ 7 = 24.43. Median = middle value in order = 25. Mode = most common = 25. Range = 37 − 5 = 32.

  6. 6. Mean 19, median 18, mode 18, range 26

    Mean = 133 ÷ 7 = 19. Median = middle value in order = 18. Mode = most common = 18. Range = 32 − 6 = 26.

  7. 7. Mean 23.14, median 25, mode 33, range 29

    Mean = 162 ÷ 7 = 23.14. Median = middle value in order = 25. Mode = most common = 33. Range = 35 − 6 = 29.

  8. 8. Mean 18.71, median 20, mode 20 and 34, range 28

    Mean = 131 ÷ 7 = 18.71. Median = middle value in order = 20. Mode = most common = 20 and 34. Range = 34 − 6 = 28.

  9. 9. Mean 37.89, median 36, mode none, range 44

    Mean = 341 ÷ 9 = 37.89. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 59 − 15 = 44.

  10. 10. Mean 20, median 13, mode none, range 50

    Mean = 180 ÷ 9 = 20. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 51 − 1 = 50.

  11. 11. Mean 24.56, median 18, mode 18, range 58

    Mean = 221 ÷ 9 = 24.56. Median = middle value in order = 18. Mode = most common = 18. Range = 59 − 1 = 58.

  12. 12. Mean 22.22, median 15, mode 13, range 46

    Mean = 200 ÷ 9 = 22.22. Median = middle value in order = 15. Mode = most common = 13. Range = 50 − 4 = 46.

Worked examples

Easy example

For the data 5, 6, 6, 10, 19, find the mean, median, mode and range.

  1. Mean = 46 ÷ 5 = 9.2.
  2. Median = middle value in order = 6.
  3. Mode = most common = 6.
  4. Range = 19 − 5 = 14.
  5. Answer: Mean 9.2, median 6, mode 6, range 14
Medium example

For the data 5, 10, 11, 29, 35, 39, 40, find the mean, median, mode and range.

  1. Mean = 169 ÷ 7 = 24.14.
  2. Median = middle value in order = 29.
  3. Mode = most common = no repeated value.
  4. Range = 40 − 5 = 35.
  5. Answer: Mean 24.14, median 29, mode none, range 35
Hard example

For the data 2, 6, 13, 20, 28, 31, 32, 43, 50, find the mean, median, mode and range.

  1. Mean = 225 ÷ 9 = 25.
  2. Median = middle value in order = 28.
  3. Mode = most common = no repeated value.
  4. Range = 50 − 2 = 48.
  5. Answer: Mean 25, median 28, mode none, range 48

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-535.1 — Mapped statement covering Mode.EDEXCEL EDE-490.2 — Mapped statement covering Mode.

Every free resource for Mode

One concept, one ecosystem — all of it free.

Goes deeper

The entities below this one, each with the same complete free resource set.

Sibling concepts

Related concepts

Lateral links, including across subjects.

Next topics

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Frequently asked

Is this Grade 3 Mode 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 Median, Mean, Measurement. 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 Mode?
Move on to Range, Averages from Tables, Data Presentation, Data Collection, which build directly on this idea.

Related resources

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