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Free Grade 3 Averages Lessons

Free Grade 3 lessons for Averages: 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

20 min

Total marks

24

Learning objectives

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

  • RememberIdentify averages

    Identify averages accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain averages

    Explain averages accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate averages

    Calculate averages accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare averages

    Compare averages 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 Averages 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, 13, 14, 18, 18, find the mean, median, mode and range.[1]
  2. 2.For the data 10, 11, 12, 12, 13, find the mean, median, mode and range.[1]
  3. 3.For the data 5, 10, 11, 17, 19, find the mean, median, mode and range.[1]
  4. 4.For the data 1, 1, 14, 15, 16, find the mean, median, mode and range.[1]
  5. 5.For the data 13, 15, 18, 18, 34, 39, 40, find the mean, median, mode and range.[2]
  6. 6.For the data 3, 14, 23, 27, 28, 31, 39, find the mean, median, mode and range.[2]
  7. 7.For the data 5, 12, 24, 30, 32, 36, 36, find the mean, median, mode and range.[2]
  8. 8.For the data 2, 14, 21, 29, 32, 34, 35, find the mean, median, mode and range.[2]
  9. 9.For the data 4, 6, 11, 17, 17, 28, 38, 48, 56, find the mean, median, mode and range.[3]
  10. 10.For the data 15, 15, 18, 26, 36, 36, 53, 59, 60, find the mean, median, mode and range.[3]
  11. 11.For the data 5, 13, 16, 31, 45, 45, 52, 54, 58, find the mean, median, mode and range.[3]
  12. 12.For the data 8, 9, 13, 19, 20, 29, 41, 49, 59, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 13.2, median 14, mode 18, range 15

    Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 14. Mode = most common = 18. Range = 18 − 3 = 15.

  2. 2. Mean 11.6, median 12, mode 12, range 3

    Mean = 58 ÷ 5 = 11.6. Median = middle value in order = 12. Mode = most common = 12. Range = 13 − 10 = 3.

  3. 3. Mean 12.4, median 11, mode none, range 14

    Mean = 62 ÷ 5 = 12.4. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 19 − 5 = 14.

  4. 4. Mean 9.4, median 14, mode 1, range 15

    Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 14. Mode = most common = 1. Range = 16 − 1 = 15.

  5. 5. Mean 25.29, median 18, mode 18, range 27

    Mean = 177 ÷ 7 = 25.29. Median = middle value in order = 18. Mode = most common = 18. Range = 40 − 13 = 27.

  6. 6. Mean 23.57, median 27, mode none, range 36

    Mean = 165 ÷ 7 = 23.57. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 39 − 3 = 36.

  7. 7. Mean 25, median 30, mode 36, range 31

    Mean = 175 ÷ 7 = 25. Median = middle value in order = 30. Mode = most common = 36. Range = 36 − 5 = 31.

  8. 8. Mean 23.86, median 29, mode none, range 33

    Mean = 167 ÷ 7 = 23.86. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 35 − 2 = 33.

  9. 9. Mean 25, median 17, mode 17, range 52

    Mean = 225 ÷ 9 = 25. Median = middle value in order = 17. Mode = most common = 17. Range = 56 − 4 = 52.

  10. 10. Mean 35.33, median 36, mode 15 and 36, range 45

    Mean = 318 ÷ 9 = 35.33. Median = middle value in order = 36. Mode = most common = 15 and 36. Range = 60 − 15 = 45.

  11. 11. Mean 35.44, median 45, mode 45, range 53

    Mean = 319 ÷ 9 = 35.44. Median = middle value in order = 45. Mode = most common = 45. Range = 58 − 5 = 53.

  12. 12. Mean 27.44, median 20, mode none, range 51

    Mean = 247 ÷ 9 = 27.44. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 59 − 8 = 51.

Worked examples

Easy example

For the data 6, 10, 10, 20, 20, find the mean, median, mode and range.

  1. Mean = 66 ÷ 5 = 13.2.
  2. Median = middle value in order = 10.
  3. Mode = most common = 10 and 20.
  4. Range = 20 − 6 = 14.
  5. Answer: Mean 13.2, median 10, mode 10 and 20, range 14
Medium example

For the data 1, 5, 7, 19, 22, 38, 40, 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 = 40 − 1 = 39.
  5. Answer: Mean 18.86, median 19, mode none, range 39
Hard example

For the data 5, 10, 37, 37, 41, 49, 51, 51, 52, find the mean, median, mode and range.

  1. Mean = 333 ÷ 9 = 37.
  2. Median = middle value in order = 41.
  3. Mode = most common = 37 and 51.
  4. Range = 52 − 5 = 47.
  5. Answer: Mean 37, median 41, mode 37 and 51, range 47

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.

CAMBRIDGE CAM-402.1 — Mapped statement covering Averages.NATIONAL-CURRICULUM NAT-418.2 — Mapped statement covering Averages.

Every free resource for Averages

One concept, one ecosystem — all of it free.

Free Averages worksheets
Free Averages quizzes
Free Averages flashcards
Free Averages lesson plans

Goes deeper

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

Mean
Median
Mode
Range
Averages from Tables

Sibling concepts

Data Presentation
Data Collection

Related concepts

Lateral links, including across subjects.

Data Presentation
Data Collection
Mathematical Reasoning

Next topics

Data Presentation
Data Collection
Number Sense
Algebra

All free formats for this concept

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Frequently asked

Is this Grade 3 Averages 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 Averages?
Move on to Data Presentation, Data Collection, Number Sense, Algebra, which build directly on this idea.

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