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Free Grade 3 Mean Lessons

Free Grade 3 lessons for 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

Foundation

Estimated time

15 min

Total marks

24

Learning objectives

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

  • RememberIdentify mean

    Identify mean accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain mean

    Explain mean accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate mean

    Calculate mean accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare mean

    Compare 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 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 7, 9, 14, 17, 18, find the mean, median, mode and range.[1]
  2. 2.For the data 2, 14, 17, 18, 19, find the mean, median, mode and range.[1]
  3. 3.For the data 6, 9, 10, 20, 20, find the mean, median, mode and range.[1]
  4. 4.For the data 6, 7, 13, 17, 19, find the mean, median, mode and range.[1]
  5. 5.For the data 13, 19, 20, 26, 28, 29, 36, find the mean, median, mode and range.[2]
  6. 6.For the data 2, 10, 12, 15, 16, 26, 35, find the mean, median, mode and range.[2]
  7. 7.For the data 12, 14, 20, 21, 25, 33, 33, find the mean, median, mode and range.[2]
  8. 8.For the data 2, 7, 14, 19, 24, 32, 38, find the mean, median, mode and range.[2]
  9. 9.For the data 9, 10, 16, 20, 23, 33, 35, 43, 57, find the mean, median, mode and range.[3]
  10. 10.For the data 1, 15, 19, 23, 27, 31, 39, 55, 60, find the mean, median, mode and range.[3]
  11. 11.For the data 15, 19, 22, 22, 23, 23, 47, 59, 59, find the mean, median, mode and range.[3]
  12. 12.For the data 4, 9, 11, 17, 31, 31, 33, 45, 48, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 13, median 14, mode none, range 11

    Mean = 65 ÷ 5 = 13. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 18 − 7 = 11.

  2. 2. Mean 14, median 17, mode none, range 17

    Mean = 70 ÷ 5 = 14. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 19 − 2 = 17.

  3. 3. Mean 13, median 10, mode 20, range 14

    Mean = 65 ÷ 5 = 13. Median = middle value in order = 10. Mode = most common = 20. Range = 20 − 6 = 14.

  4. 4. Mean 12.4, median 13, mode none, range 13

    Mean = 62 ÷ 5 = 12.4. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 19 − 6 = 13.

  5. 5. Mean 24.43, median 26, mode none, range 23

    Mean = 171 ÷ 7 = 24.43. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 36 − 13 = 23.

  6. 6. Mean 16.57, median 15, mode none, range 33

    Mean = 116 ÷ 7 = 16.57. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 35 − 2 = 33.

  7. 7. Mean 22.57, median 21, mode 33, range 21

    Mean = 158 ÷ 7 = 22.57. Median = middle value in order = 21. Mode = most common = 33. Range = 33 − 12 = 21.

  8. 8. Mean 19.43, median 19, mode none, range 36

    Mean = 136 ÷ 7 = 19.43. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 38 − 2 = 36.

  9. 9. Mean 27.33, median 23, mode none, range 48

    Mean = 246 ÷ 9 = 27.33. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 57 − 9 = 48.

  10. 10. Mean 30, median 27, mode none, range 59

    Mean = 270 ÷ 9 = 30. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 60 − 1 = 59.

  11. 11. Mean 32.11, median 23, mode 22 and 23 and 59, range 44

    Mean = 289 ÷ 9 = 32.11. Median = middle value in order = 23. Mode = most common = 22 and 23 and 59. Range = 59 − 15 = 44.

  12. 12. Mean 25.44, median 31, mode 31, range 44

    Mean = 229 ÷ 9 = 25.44. Median = middle value in order = 31. Mode = most common = 31. Range = 48 − 4 = 44.

Worked examples

Easy example

For the data 8, 18, 18, 18, 20, find the mean, median, mode and range.

  1. Mean = 82 ÷ 5 = 16.4.
  2. Median = middle value in order = 18.
  3. Mode = most common = 18.
  4. Range = 20 − 8 = 12.
  5. Answer: Mean 16.4, median 18, mode 18, range 12
Medium example

For the data 2, 9, 13, 19, 25, 30, 34, find the mean, median, mode and range.

  1. Mean = 132 ÷ 7 = 18.86.
  2. Median = middle value in order = 19.
  3. Mode = most common = no repeated value.
  4. Range = 34 − 2 = 32.
  5. Answer: Mean 18.86, median 19, mode none, range 32
Hard example

For the data 2, 10, 14, 18, 33, 38, 50, 50, 52, find the mean, median, mode and range.

  1. Mean = 267 ÷ 9 = 29.67.
  2. Median = middle value in order = 33.
  3. Mode = most common = 50.
  4. Range = 52 − 2 = 50.
  5. Answer: Mean 29.67, median 33, mode 50, 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.

IB IB-807.1 — Mapped statement covering Mean.EDEXCEL EDE-796.2 — Mapped statement covering Mean.

Every free resource for Mean

One concept, one ecosystem — all of it free.

Free Mean worksheets
Free Mean quizzes
Free Mean flashcards
Free Mean lesson plans

Goes deeper

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

Introducing Mean
Working with Mean
Mean in Context

Sibling concepts

Median
Mode
Range
Averages from Tables

Related concepts

Lateral links, including across subjects.

Median
Mode
Range
Averages from Tables
Data Presentation

Next topics

Median
Mode
Range
Averages from Tables

All free formats for this concept

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Frequently asked

Is this Grade 3 Mean lesson really free?
Yes. Every lessons 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 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 Mean?
Move on to Median, Mode, Range, Averages from Tables, which build directly on this idea.

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