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Free Grade 3 Introducing Mean Lesson Plans

Free Grade 3 lesson plans 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

25 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, 5, 17, 19, 20, find the mean, median, mode and range.[1]
  2. 2.For the data 1, 4, 10, 11, 17, find the mean, median, mode and range.[1]
  3. 3.For the data 3, 12, 12, 16, 20, find the mean, median, mode and range.[1]
  4. 4.For the data 10, 11, 11, 17, 18, find the mean, median, mode and range.[1]
  5. 5.For the data 1, 7, 10, 11, 12, 18, 22, find the mean, median, mode and range.[2]
  6. 6.For the data 7, 14, 16, 25, 29, 30, 35, find the mean, median, mode and range.[2]
  7. 7.For the data 3, 9, 18, 21, 28, 31, 40, find the mean, median, mode and range.[2]
  8. 8.For the data 4, 6, 6, 13, 13, 16, 27, find the mean, median, mode and range.[2]
  9. 9.For the data 2, 15, 24, 28, 28, 29, 31, 46, 52, find the mean, median, mode and range.[3]
  10. 10.For the data 15, 18, 37, 48, 50, 52, 52, 58, 60, find the mean, median, mode and range.[3]
  11. 11.For the data 17, 22, 24, 25, 27, 41, 42, 51, 54, find the mean, median, mode and range.[3]
  12. 12.For the data 8, 26, 28, 37, 42, 43, 46, 49, 51, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 12.8, median 17, mode none, range 17

    Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 20 − 3 = 17.

  2. 2. Mean 8.6, median 10, mode none, range 16

    Mean = 43 ÷ 5 = 8.6. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 17 − 1 = 16.

  3. 3. Mean 12.6, median 12, mode 12, range 17

    Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 12. Mode = most common = 12. Range = 20 − 3 = 17.

  4. 4. Mean 13.4, median 11, mode 11, range 8

    Mean = 67 ÷ 5 = 13.4. Median = middle value in order = 11. Mode = most common = 11. Range = 18 − 10 = 8.

  5. 5. Mean 11.57, median 11, mode none, range 21

    Mean = 81 ÷ 7 = 11.57. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 22 − 1 = 21.

  6. 6. Mean 22.29, median 25, mode none, range 28

    Mean = 156 ÷ 7 = 22.29. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 35 − 7 = 28.

  7. 7. Mean 21.43, median 21, mode none, range 37

    Mean = 150 ÷ 7 = 21.43. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 40 − 3 = 37.

  8. 8. Mean 12.14, median 13, mode 6 and 13, range 23

    Mean = 85 ÷ 7 = 12.14. Median = middle value in order = 13. Mode = most common = 6 and 13. Range = 27 − 4 = 23.

  9. 9. Mean 28.33, median 28, mode 28, range 50

    Mean = 255 ÷ 9 = 28.33. Median = middle value in order = 28. Mode = most common = 28. Range = 52 − 2 = 50.

  10. 10. Mean 43.33, median 50, mode 52, range 45

    Mean = 390 ÷ 9 = 43.33. Median = middle value in order = 50. Mode = most common = 52. Range = 60 − 15 = 45.

  11. 11. Mean 33.67, median 27, mode none, range 37

    Mean = 303 ÷ 9 = 33.67. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 54 − 17 = 37.

  12. 12. Mean 36.67, median 42, mode none, range 43

    Mean = 330 ÷ 9 = 36.67. Median = middle value in order = 42. Mode = most common = no repeated value. Range = 51 − 8 = 43.

Worked examples

Easy example

For the data 5, 5, 9, 14, 18, find the mean, median, mode and range.

  1. Mean = 51 ÷ 5 = 10.2.
  2. Median = middle value in order = 9.
  3. Mode = most common = 5.
  4. Range = 18 − 5 = 13.
  5. Answer: Mean 10.2, median 9, mode 5, range 13
Medium example

For the data 2, 9, 12, 23, 31, 35, 36, find the mean, median, mode and range.

  1. Mean = 148 ÷ 7 = 21.14.
  2. Median = middle value in order = 23.
  3. Mode = most common = no repeated value.
  4. Range = 36 − 2 = 34.
  5. Answer: Mean 21.14, median 23, mode none, range 34
Hard example

For the data 3, 7, 10, 20, 21, 25, 36, 44, 53, find the mean, median, mode and range.

  1. Mean = 219 ÷ 9 = 24.33.
  2. Median = middle value in order = 21.
  3. Mode = most common = no repeated value.
  4. Range = 53 − 3 = 50.
  5. Answer: Mean 24.33, median 21, mode none, range 50

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 quizzes
Free Introducing Mean flashcards
Free Introducing Mean lessons

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

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