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Free Grade 3 Introducing Mean Quizzes

Free Grade 3 quizzes for Introducing Mean: 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

Higher

Estimated time

35 min

Total marks

24

Learning objectives

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

  • UnderstandExplain introducing mean

    Explain introducing mean accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing mean

    Calculate introducing mean accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing mean

    Compare introducing mean accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify introducing mean

    Justify introducing mean 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.

Measurement

How Introducing Mean 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, 7, 7, 12, 18, find the mean, median, mode and range.[1]
  2. 2.For the data 10, 12, 14, 15, 16, find the mean, median, mode and range.[1]
  3. 3.For the data 2, 4, 8, 16, 17, find the mean, median, mode and range.[1]
  4. 4.For the data 3, 4, 15, 16, 17, find the mean, median, mode and range.[1]
  5. 5.For the data 10, 18, 21, 25, 29, 37, 39, find the mean, median, mode and range.[2]
  6. 6.For the data 4, 8, 18, 30, 32, 37, 38, find the mean, median, mode and range.[2]
  7. 7.For the data 6, 9, 9, 21, 24, 25, 28, find the mean, median, mode and range.[2]
  8. 8.For the data 2, 3, 19, 26, 31, 35, 39, find the mean, median, mode and range.[2]
  9. 9.For the data 7, 15, 17, 37, 44, 51, 54, 59, 60, find the mean, median, mode and range.[3]
  10. 10.For the data 8, 9, 23, 25, 28, 29, 43, 49, 58, find the mean, median, mode and range.[3]
  11. 11.For the data 19, 22, 27, 36, 38, 53, 54, 57, 60, find the mean, median, mode and range.[3]
  12. 12.For the data 5, 12, 22, 30, 32, 32, 37, 39, 45, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 9.8, median 7, mode 7, range 13

    Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 7. Mode = most common = 7. Range = 18 − 5 = 13.

  2. 2. Mean 13.4, median 14, mode none, range 6

    Mean = 67 ÷ 5 = 13.4. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 16 − 10 = 6.

  3. 3. Mean 9.4, median 8, mode none, range 15

    Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 17 − 2 = 15.

  4. 4. Mean 11, median 15, mode none, range 14

    Mean = 55 ÷ 5 = 11. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 17 − 3 = 14.

  5. 5. Mean 25.57, median 25, mode none, range 29

    Mean = 179 ÷ 7 = 25.57. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 39 − 10 = 29.

  6. 6. Mean 23.86, median 30, mode none, range 34

    Mean = 167 ÷ 7 = 23.86. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 38 − 4 = 34.

  7. 7. Mean 17.43, median 21, mode 9, range 22

    Mean = 122 ÷ 7 = 17.43. Median = middle value in order = 21. Mode = most common = 9. Range = 28 − 6 = 22.

  8. 8. Mean 22.14, median 26, mode none, range 37

    Mean = 155 ÷ 7 = 22.14. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 39 − 2 = 37.

  9. 9. Mean 38.22, median 44, mode none, range 53

    Mean = 344 ÷ 9 = 38.22. Median = middle value in order = 44. Mode = most common = no repeated value. Range = 60 − 7 = 53.

  10. 10. Mean 30.22, median 28, mode none, range 50

    Mean = 272 ÷ 9 = 30.22. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 58 − 8 = 50.

  11. 11. Mean 40.67, median 38, mode none, range 41

    Mean = 366 ÷ 9 = 40.67. Median = middle value in order = 38. Mode = most common = no repeated value. Range = 60 − 19 = 41.

  12. 12. Mean 28.22, median 32, mode 32, range 40

    Mean = 254 ÷ 9 = 28.22. Median = middle value in order = 32. Mode = most common = 32. Range = 45 − 5 = 40.

Worked examples

Easy example

For the data 3, 5, 10, 15, 18, find the mean, median, mode and range.

  1. Mean = 51 ÷ 5 = 10.2.
  2. Median = middle value in order = 10.
  3. Mode = most common = no repeated value.
  4. Range = 18 − 3 = 15.
  5. Answer: Mean 10.2, median 10, mode none, range 15
Medium example

For the data 4, 8, 11, 23, 25, 31, 34, find the mean, median, mode and range.

  1. Mean = 136 ÷ 7 = 19.43.
  2. Median = middle value in order = 23.
  3. Mode = most common = no repeated value.
  4. Range = 34 − 4 = 30.
  5. Answer: Mean 19.43, median 23, mode none, range 30
Hard example

For the data 2, 9, 30, 38, 43, 43, 52, 56, 59, find the mean, median, mode and range.

  1. Mean = 332 ÷ 9 = 36.89.
  2. Median = middle value in order = 43.
  3. Mode = most common = 43.
  4. Range = 59 − 2 = 57.
  5. Answer: Mean 36.89, median 43, mode 43, range 57

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.

FBISE FBI-380.1 — Mapped statement covering Introducing Mean.COMMON-CORE COM-848.2 — Mapped statement covering Introducing Mean.

Every free resource for Introducing Mean

One concept, one ecosystem — all of it free.

Free Introducing Mean worksheets
Free Introducing Mean flashcards
Free Introducing Mean lessons
Free Introducing Mean lesson plans

Goes deeper

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

Introducing Mean Essentials
Introducing Mean Techniques
Introducing Mean Word Problems
Introducing Mean Common Errors

Sibling concepts

Working with Mean
Mean in Context

Related concepts

Lateral links, including across subjects.

Working with Mean
Mean in Context
Averages from Tables

Next topics

Working with Mean
Mean in Context
Median
Mode

All free formats for this concept

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Frequently asked

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

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