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Free Grade 3 Working with Mean Worksheets

Free Grade 3 worksheets for Working with 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

15 min

Total marks

24

Learning objectives

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

  • UnderstandExplain working with mean

    Explain working with mean accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with mean

    Calculate working with mean accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with mean

    Compare working with mean accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify working with mean

    Justify working with 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.

Introducing Mean
Measurement

How Working with 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 2, 6, 8, 17, 20, find the mean, median, mode and range.[1]
  2. 2.For the data 2, 6, 10, 11, 17, find the mean, median, mode and range.[1]
  3. 3.For the data 4, 5, 9, 9, 15, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 2, 11, 13, 20, find the mean, median, mode and range.[1]
  5. 5.For the data 1, 8, 14, 27, 30, 33, 34, find the mean, median, mode and range.[2]
  6. 6.For the data 4, 30, 30, 33, 35, 40, 40, find the mean, median, mode and range.[2]
  7. 7.For the data 6, 8, 19, 27, 31, 31, 32, find the mean, median, mode and range.[2]
  8. 8.For the data 3, 19, 20, 20, 21, 37, 39, find the mean, median, mode and range.[2]
  9. 9.For the data 21, 40, 40, 42, 44, 45, 46, 48, 48, find the mean, median, mode and range.[3]
  10. 10.For the data 12, 29, 32, 33, 36, 38, 44, 45, 52, find the mean, median, mode and range.[3]
  11. 11.For the data 12, 19, 33, 43, 49, 50, 53, 56, 60, find the mean, median, mode and range.[3]
  12. 12.For the data 6, 7, 15, 34, 36, 46, 48, 54, 55, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 10.6, median 8, mode none, range 18

    Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 20 − 2 = 18.

  2. 2. Mean 9.2, median 10, mode none, range 15

    Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 17 − 2 = 15.

  3. 3. Mean 8.4, median 9, mode 9, range 11

    Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 9. Mode = most common = 9. Range = 15 − 4 = 11.

  4. 4. Mean 9.6, median 11, mode 2, range 18

    Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 11. Mode = most common = 2. Range = 20 − 2 = 18.

  5. 5. Mean 21, median 27, mode none, range 33

    Mean = 147 ÷ 7 = 21. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 34 − 1 = 33.

  6. 6. Mean 30.29, median 33, mode 30 and 40, range 36

    Mean = 212 ÷ 7 = 30.29. Median = middle value in order = 33. Mode = most common = 30 and 40. Range = 40 − 4 = 36.

  7. 7. Mean 22, median 27, mode 31, range 26

    Mean = 154 ÷ 7 = 22. Median = middle value in order = 27. Mode = most common = 31. Range = 32 − 6 = 26.

  8. 8. Mean 22.71, median 20, mode 20, range 36

    Mean = 159 ÷ 7 = 22.71. Median = middle value in order = 20. Mode = most common = 20. Range = 39 − 3 = 36.

  9. 9. Mean 41.56, median 44, mode 40 and 48, range 27

    Mean = 374 ÷ 9 = 41.56. Median = middle value in order = 44. Mode = most common = 40 and 48. Range = 48 − 21 = 27.

  10. 10. Mean 35.67, median 36, mode none, range 40

    Mean = 321 ÷ 9 = 35.67. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 52 − 12 = 40.

  11. 11. Mean 41.67, median 49, mode none, range 48

    Mean = 375 ÷ 9 = 41.67. Median = middle value in order = 49. Mode = most common = no repeated value. Range = 60 − 12 = 48.

  12. 12. Mean 33.44, median 36, mode none, range 49

    Mean = 301 ÷ 9 = 33.44. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 55 − 6 = 49.

Worked examples

Easy example

For the data 10, 12, 16, 19, 20, find the mean, median, mode and range.

  1. Mean = 77 ÷ 5 = 15.4.
  2. Median = middle value in order = 16.
  3. Mode = most common = no repeated value.
  4. Range = 20 − 10 = 10.
  5. Answer: Mean 15.4, median 16, mode none, range 10
Medium example

For the data 4, 16, 24, 25, 28, 37, 38, find the mean, median, mode and range.

  1. Mean = 172 ÷ 7 = 24.57.
  2. Median = middle value in order = 25.
  3. Mode = most common = no repeated value.
  4. Range = 38 − 4 = 34.
  5. Answer: Mean 24.57, median 25, mode none, range 34
Hard example

For the data 6, 7, 9, 14, 29, 34, 38, 42, 46, find the mean, median, mode and range.

  1. Mean = 225 ÷ 9 = 25.
  2. Median = middle value in order = 29.
  3. Mode = most common = no repeated value.
  4. Range = 46 − 6 = 40.
  5. Answer: Mean 25, median 29, mode none, range 40

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.

EDEXCEL EDE-435.1 — Mapped statement covering Working with Mean.CBSE CBS-146.2 — Mapped statement covering Working with Mean.

Every free resource for Working with Mean

One concept, one ecosystem — all of it free.

Free Working with Mean quizzes
Free Working with Mean flashcards
Free Working with Mean lessons
Free Working with Mean lesson plans

Goes deeper

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

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

Sibling concepts

Introducing Mean
Mean in Context

Related concepts

Lateral links, including across subjects.

Introducing Mean
Mean in Context
Averages from Tables

Next topics

Mean in Context
Median
Mode
Range

All free formats for this concept

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Frequently asked

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

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