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Free Grade 3 Introducing Mean Worksheets

Free Grade 3 worksheets 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

Core

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 3, 3, 8, 17, 20, find the mean, median, mode and range.[1]
  2. 2.For the data 7, 14, 19, 20, 20, find the mean, median, mode and range.[1]
  3. 3.For the data 4, 7, 14, 15, 20, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 4, 6, 13, 20, find the mean, median, mode and range.[1]
  5. 5.For the data 2, 2, 10, 20, 22, 23, 39, find the mean, median, mode and range.[2]
  6. 6.For the data 3, 7, 16, 21, 24, 30, 40, find the mean, median, mode and range.[2]
  7. 7.For the data 2, 5, 19, 25, 32, 35, 39, find the mean, median, mode and range.[2]
  8. 8.For the data 3, 8, 9, 10, 12, 22, 36, find the mean, median, mode and range.[2]
  9. 9.For the data 11, 15, 33, 45, 47, 50, 51, 54, 59, find the mean, median, mode and range.[3]
  10. 10.For the data 3, 13, 15, 29, 31, 31, 46, 55, 57, find the mean, median, mode and range.[3]
  11. 11.For the data 10, 17, 18, 19, 20, 20, 23, 43, 59, find the mean, median, mode and range.[3]
  12. 12.For the data 7, 9, 14, 24, 37, 37, 42, 44, 47, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 10.2, median 8, mode 3, range 17

    Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 8. Mode = most common = 3. Range = 20 − 3 = 17.

  2. 2. Mean 16, median 19, mode 20, range 13

    Mean = 80 ÷ 5 = 16. Median = middle value in order = 19. Mode = most common = 20. Range = 20 − 7 = 13.

  3. 3. Mean 12, median 14, mode none, range 16

    Mean = 60 ÷ 5 = 12. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 20 − 4 = 16.

  4. 4. Mean 9, median 6, mode none, range 18

    Mean = 45 ÷ 5 = 9. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 20 − 2 = 18.

  5. 5. Mean 16.86, median 20, mode 2, range 37

    Mean = 118 ÷ 7 = 16.86. Median = middle value in order = 20. Mode = most common = 2. Range = 39 − 2 = 37.

  6. 6. Mean 20.14, median 21, mode none, range 37

    Mean = 141 ÷ 7 = 20.14. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 40 − 3 = 37.

  7. 7. Mean 22.43, median 25, mode none, range 37

    Mean = 157 ÷ 7 = 22.43. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 39 − 2 = 37.

  8. 8. Mean 14.29, median 10, mode none, range 33

    Mean = 100 ÷ 7 = 14.29. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 36 − 3 = 33.

  9. 9. Mean 40.56, median 47, mode none, range 48

    Mean = 365 ÷ 9 = 40.56. Median = middle value in order = 47. Mode = most common = no repeated value. Range = 59 − 11 = 48.

  10. 10. Mean 31.11, median 31, mode 31, range 54

    Mean = 280 ÷ 9 = 31.11. Median = middle value in order = 31. Mode = most common = 31. Range = 57 − 3 = 54.

  11. 11. Mean 25.44, median 20, mode 20, range 49

    Mean = 229 ÷ 9 = 25.44. Median = middle value in order = 20. Mode = most common = 20. Range = 59 − 10 = 49.

  12. 12. Mean 29, median 37, mode 37, range 40

    Mean = 261 ÷ 9 = 29. Median = middle value in order = 37. Mode = most common = 37. Range = 47 − 7 = 40.

Worked examples

Easy example

For the data 5, 6, 12, 13, 20, find the mean, median, mode and range.

  1. Mean = 56 ÷ 5 = 11.2.
  2. Median = middle value in order = 12.
  3. Mode = most common = no repeated value.
  4. Range = 20 − 5 = 15.
  5. Answer: Mean 11.2, median 12, mode none, range 15
Medium example

For the data 11, 19, 28, 30, 33, 35, 36, find the mean, median, mode and range.

  1. Mean = 192 ÷ 7 = 27.43.
  2. Median = middle value in order = 30.
  3. Mode = most common = no repeated value.
  4. Range = 36 − 11 = 25.
  5. Answer: Mean 27.43, median 30, mode none, range 25
Hard example

For the data 3, 8, 10, 38, 41, 51, 52, 55, 57, find the mean, median, mode and range.

  1. Mean = 315 ÷ 9 = 35.
  2. Median = middle value in order = 41.
  3. Mode = most common = no repeated value.
  4. Range = 57 − 3 = 54.
  5. Answer: Mean 35, median 41, mode none, range 54

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 quizzes
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

Every kind below is a real page, generated from this entity.

Frequently asked

Is this Grade 3 Introducing Mean worksheet really free?
Yes. Every worksheets 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 worksheet 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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