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Free Grade 3 Working with Mean Lesson Plans

Free Grade 3 lesson plans 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

Stretch

Estimated time

30 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 1, 9, 12, 12, 13, find the mean, median, mode and range.[1]
  2. 2.For the data 1, 5, 8, 11, 18, find the mean, median, mode and range.[1]
  3. 3.For the data 2, 6, 8, 19, 20, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 2, 2, 11, 20, find the mean, median, mode and range.[1]
  5. 5.For the data 3, 4, 7, 13, 19, 27, 31, find the mean, median, mode and range.[2]
  6. 6.For the data 1, 4, 9, 17, 27, 31, 37, find the mean, median, mode and range.[2]
  7. 7.For the data 3, 15, 16, 23, 23, 24, 39, find the mean, median, mode and range.[2]
  8. 8.For the data 20, 22, 26, 26, 28, 33, 33, find the mean, median, mode and range.[2]
  9. 9.For the data 13, 19, 21, 23, 25, 28, 28, 53, 54, find the mean, median, mode and range.[3]
  10. 10.For the data 3, 14, 16, 23, 39, 44, 46, 51, 59, find the mean, median, mode and range.[3]
  11. 11.For the data 6, 12, 17, 24, 31, 31, 33, 41, 50, find the mean, median, mode and range.[3]
  12. 12.For the data 8, 9, 14, 20, 20, 20, 33, 46, 47, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 9.4, median 12, mode 12, range 12

    Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 12. Mode = most common = 12. Range = 13 − 1 = 12.

  2. 2. Mean 8.6, median 8, mode none, range 17

    Mean = 43 ÷ 5 = 8.6. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 18 − 1 = 17.

  3. 3. Mean 11, median 8, mode none, range 18

    Mean = 55 ÷ 5 = 11. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 20 − 2 = 18.

  4. 4. Mean 7.4, median 2, mode 2, range 18

    Mean = 37 ÷ 5 = 7.4. Median = middle value in order = 2. Mode = most common = 2. Range = 20 − 2 = 18.

  5. 5. Mean 14.86, median 13, mode none, range 28

    Mean = 104 ÷ 7 = 14.86. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 31 − 3 = 28.

  6. 6. Mean 18, median 17, mode none, range 36

    Mean = 126 ÷ 7 = 18. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 37 − 1 = 36.

  7. 7. Mean 20.43, median 23, mode 23, range 36

    Mean = 143 ÷ 7 = 20.43. Median = middle value in order = 23. Mode = most common = 23. Range = 39 − 3 = 36.

  8. 8. Mean 26.86, median 26, mode 26 and 33, range 13

    Mean = 188 ÷ 7 = 26.86. Median = middle value in order = 26. Mode = most common = 26 and 33. Range = 33 − 20 = 13.

  9. 9. Mean 29.33, median 25, mode 28, range 41

    Mean = 264 ÷ 9 = 29.33. Median = middle value in order = 25. Mode = most common = 28. Range = 54 − 13 = 41.

  10. 10. Mean 32.78, median 39, mode none, range 56

    Mean = 295 ÷ 9 = 32.78. Median = middle value in order = 39. Mode = most common = no repeated value. Range = 59 − 3 = 56.

  11. 11. Mean 27.22, median 31, mode 31, range 44

    Mean = 245 ÷ 9 = 27.22. Median = middle value in order = 31. Mode = most common = 31. Range = 50 − 6 = 44.

  12. 12. Mean 24.11, median 20, mode 20, range 39

    Mean = 217 ÷ 9 = 24.11. Median = middle value in order = 20. Mode = most common = 20. Range = 47 − 8 = 39.

Worked examples

Easy example

For the data 2, 8, 17, 17, 18, find the mean, median, mode and range.

  1. Mean = 62 ÷ 5 = 12.4.
  2. Median = middle value in order = 17.
  3. Mode = most common = 17.
  4. Range = 18 − 2 = 16.
  5. Answer: Mean 12.4, median 17, mode 17, range 16
Medium example

For the data 3, 16, 19, 25, 28, 28, 39, find the mean, median, mode and range.

  1. Mean = 158 ÷ 7 = 22.57.
  2. Median = middle value in order = 25.
  3. Mode = most common = 28.
  4. Range = 39 − 3 = 36.
  5. Answer: Mean 22.57, median 25, mode 28, range 36
Hard example

For the data 5, 6, 8, 37, 44, 46, 53, 58, 60, find the mean, median, mode and range.

  1. Mean = 317 ÷ 9 = 35.22.
  2. Median = middle value in order = 44.
  3. Mode = most common = no repeated value.
  4. Range = 60 − 5 = 55.
  5. Answer: Mean 35.22, median 44, mode none, range 55

Interactive practice

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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 worksheets
Free Working with Mean quizzes
Free Working with Mean flashcards
Free Working with Mean lessons

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 lesson plan really free?
Yes. Every lesson plans 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 lesson plan 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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