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Free Grade 3 Working with Mode Quizzes

Free Grade 3 quizzes for Working with 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

Foundation

Estimated time

25 min

Total marks

24

Learning objectives

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

  • UnderstandExplain working with mode

    Explain working with mode accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with mode

    Calculate working with mode accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with mode

    Compare working with mode accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify working with mode

    Justify working with 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.

Introducing Mode
Median

How Working with 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 1, 2, 2, 9, 14, find the mean, median, mode and range.[1]
  2. 2.For the data 2, 6, 7, 14, 16, find the mean, median, mode and range.[1]
  3. 3.For the data 3, 5, 7, 15, 18, find the mean, median, mode and range.[1]
  4. 4.For the data 4, 8, 12, 12, 14, find the mean, median, mode and range.[1]
  5. 5.For the data 2, 3, 6, 6, 19, 31, 33, find the mean, median, mode and range.[2]
  6. 6.For the data 3, 13, 15, 20, 27, 33, 35, find the mean, median, mode and range.[2]
  7. 7.For the data 18, 18, 19, 25, 30, 31, 33, find the mean, median, mode and range.[2]
  8. 8.For the data 2, 3, 6, 7, 21, 25, 39, find the mean, median, mode and range.[2]
  9. 9.For the data 10, 11, 13, 20, 23, 31, 42, 52, 54, find the mean, median, mode and range.[3]
  10. 10.For the data 5, 14, 32, 43, 44, 47, 55, 57, 58, find the mean, median, mode and range.[3]
  11. 11.For the data 2, 13, 15, 21, 27, 28, 29, 50, 56, find the mean, median, mode and range.[3]
  12. 12.For the data 1, 9, 10, 14, 23, 30, 43, 51, 56, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 5.6, median 2, mode 2, range 13

    Mean = 28 ÷ 5 = 5.6. Median = middle value in order = 2. Mode = most common = 2. Range = 14 − 1 = 13.

  2. 2. Mean 9, median 7, mode none, range 14

    Mean = 45 ÷ 5 = 9. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 16 − 2 = 14.

  3. 3. Mean 9.6, median 7, mode none, range 15

    Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 18 − 3 = 15.

  4. 4. Mean 10, median 12, mode 12, range 10

    Mean = 50 ÷ 5 = 10. Median = middle value in order = 12. Mode = most common = 12. Range = 14 − 4 = 10.

  5. 5. Mean 14.29, median 6, mode 6, range 31

    Mean = 100 ÷ 7 = 14.29. Median = middle value in order = 6. Mode = most common = 6. Range = 33 − 2 = 31.

  6. 6. Mean 20.86, median 20, mode none, range 32

    Mean = 146 ÷ 7 = 20.86. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 35 − 3 = 32.

  7. 7. Mean 24.86, median 25, mode 18, range 15

    Mean = 174 ÷ 7 = 24.86. Median = middle value in order = 25. Mode = most common = 18. Range = 33 − 18 = 15.

  8. 8. Mean 14.71, median 7, mode none, range 37

    Mean = 103 ÷ 7 = 14.71. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 39 − 2 = 37.

  9. 9. Mean 28.44, median 23, mode none, range 44

    Mean = 256 ÷ 9 = 28.44. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 54 − 10 = 44.

  10. 10. Mean 39.44, median 44, mode none, range 53

    Mean = 355 ÷ 9 = 39.44. Median = middle value in order = 44. Mode = most common = no repeated value. Range = 58 − 5 = 53.

  11. 11. Mean 26.78, median 27, mode none, range 54

    Mean = 241 ÷ 9 = 26.78. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 56 − 2 = 54.

  12. 12. Mean 26.33, median 23, mode none, range 55

    Mean = 237 ÷ 9 = 26.33. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 56 − 1 = 55.

Worked examples

Easy example

For the data 1, 4, 12, 14, 20, find the mean, median, mode and range.

  1. Mean = 51 ÷ 5 = 10.2.
  2. Median = middle value in order = 12.
  3. Mode = most common = no repeated value.
  4. Range = 20 − 1 = 19.
  5. Answer: Mean 10.2, median 12, mode none, range 19
Medium example

For the data 1, 2, 3, 6, 10, 10, 13, find the mean, median, mode and range.

  1. Mean = 45 ÷ 7 = 6.43.
  2. Median = middle value in order = 6.
  3. Mode = most common = 10.
  4. Range = 13 − 1 = 12.
  5. Answer: Mean 6.43, median 6, mode 10, range 12
Hard example

For the data 2, 2, 5, 33, 34, 35, 41, 43, 49, find the mean, median, mode and range.

  1. Mean = 244 ÷ 9 = 27.11.
  2. Median = middle value in order = 34.
  3. Mode = most common = 2.
  4. Range = 49 − 2 = 47.
  5. Answer: Mean 27.11, median 34, mode 2, range 47

Interactive practice

Free, no account required — answer on screen or print it.

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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.

NATIONAL-CURRICULUM NAT-167.1 — Mapped statement covering Working with Mode.IB IB-556.2 — Mapped statement covering Working with Mode.

Every free resource for Working with Mode

One concept, one ecosystem — all of it free.

Free Working with Mode worksheets
Free Working with Mode flashcards
Free Working with Mode lessons
Free Working with Mode lesson plans

Goes deeper

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

Working with Mode Essentials
Working with Mode Techniques
Working with Mode Word Problems
Working with Mode Common Errors

Sibling concepts

Introducing Mode
Mode in Context

Related concepts

Lateral links, including across subjects.

Introducing Mode
Mode in Context
Averages from Tables

Next topics

Mode in Context
Mean
Median
Range

All free formats for this concept

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Frequently asked

Is this Grade 3 Working with 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 Introducing Mode, 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 Working with Mode?
Move on to Mode in Context, Mean, Median, Range, which build directly on this idea.

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