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Free Grade 3 Mean in Context Lessons

Free Grade 3 lessons for Mean in Context: 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

Higher

Estimated time

30 min

Total marks

24

Learning objectives

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

  • RememberIdentify mean in context

    Identify mean in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain mean in context

    Explain mean in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate mean in context

    Calculate mean in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare mean in context

    Compare mean in context 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.

Working with Mean
Introducing Mean
Measurement

How Mean in Context 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 5, 13, 14, 17, 20, find the mean, median, mode and range.[1]
  2. 2.For the data 1, 1, 17, 17, 19, find the mean, median, mode and range.[1]
  3. 3.For the data 11, 20, 20, 20, 20, find the mean, median, mode and range.[1]
  4. 4.For the data 1, 10, 15, 18, 20, find the mean, median, mode and range.[1]
  5. 5.For the data 15, 15, 17, 20, 28, 31, 36, find the mean, median, mode and range.[2]
  6. 6.For the data 11, 16, 16, 23, 25, 34, 34, find the mean, median, mode and range.[2]
  7. 7.For the data 4, 7, 10, 29, 30, 34, 35, find the mean, median, mode and range.[2]
  8. 8.For the data 3, 25, 31, 33, 33, 36, 38, find the mean, median, mode and range.[2]
  9. 9.For the data 16, 29, 30, 32, 37, 39, 40, 49, 55, find the mean, median, mode and range.[3]
  10. 10.For the data 8, 10, 12, 20, 44, 53, 54, 57, 59, find the mean, median, mode and range.[3]
  11. 11.For the data 4, 8, 8, 28, 40, 51, 57, 59, 60, find the mean, median, mode and range.[3]
  12. 12.For the data 21, 22, 38, 40, 42, 49, 53, 54, 56, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 13.8, median 14, mode none, range 15

    Mean = 69 ÷ 5 = 13.8. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 20 − 5 = 15.

  2. 2. Mean 11, median 17, mode 1 and 17, range 18

    Mean = 55 ÷ 5 = 11. Median = middle value in order = 17. Mode = most common = 1 and 17. Range = 19 − 1 = 18.

  3. 3. Mean 18.2, median 20, mode 20, range 9

    Mean = 91 ÷ 5 = 18.2. Median = middle value in order = 20. Mode = most common = 20. Range = 20 − 11 = 9.

  4. 4. Mean 12.8, median 15, mode none, range 19

    Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 20 − 1 = 19.

  5. 5. Mean 23.14, median 20, mode 15, range 21

    Mean = 162 ÷ 7 = 23.14. Median = middle value in order = 20. Mode = most common = 15. Range = 36 − 15 = 21.

  6. 6. Mean 22.71, median 23, mode 16 and 34, range 23

    Mean = 159 ÷ 7 = 22.71. Median = middle value in order = 23. Mode = most common = 16 and 34. Range = 34 − 11 = 23.

  7. 7. Mean 21.29, median 29, mode none, range 31

    Mean = 149 ÷ 7 = 21.29. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 35 − 4 = 31.

  8. 8. Mean 28.43, median 33, mode 33, range 35

    Mean = 199 ÷ 7 = 28.43. Median = middle value in order = 33. Mode = most common = 33. Range = 38 − 3 = 35.

  9. 9. Mean 36.33, median 37, mode none, range 39

    Mean = 327 ÷ 9 = 36.33. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 55 − 16 = 39.

  10. 10. Mean 35.22, median 44, mode none, range 51

    Mean = 317 ÷ 9 = 35.22. Median = middle value in order = 44. Mode = most common = no repeated value. Range = 59 − 8 = 51.

  11. 11. Mean 35, median 40, mode 8, range 56

    Mean = 315 ÷ 9 = 35. Median = middle value in order = 40. Mode = most common = 8. Range = 60 − 4 = 56.

  12. 12. Mean 41.67, median 42, mode none, range 35

    Mean = 375 ÷ 9 = 41.67. Median = middle value in order = 42. Mode = most common = no repeated value. Range = 56 − 21 = 35.

Worked examples

Easy example

For the data 5, 7, 9, 15, 20, find the mean, median, mode and range.

  1. Mean = 56 ÷ 5 = 11.2.
  2. Median = middle value in order = 9.
  3. Mode = most common = no repeated value.
  4. Range = 20 − 5 = 15.
  5. Answer: Mean 11.2, median 9, mode none, range 15
Medium example

For the data 4, 21, 26, 30, 35, 38, 39, find the mean, median, mode and range.

  1. Mean = 193 ÷ 7 = 27.57.
  2. Median = middle value in order = 30.
  3. Mode = most common = no repeated value.
  4. Range = 39 − 4 = 35.
  5. Answer: Mean 27.57, median 30, mode none, range 35
Hard example

For the data 4, 13, 13, 23, 26, 34, 39, 51, 53, find the mean, median, mode and range.

  1. Mean = 256 ÷ 9 = 28.44.
  2. Median = middle value in order = 26.
  3. Mode = most common = 13.
  4. Range = 53 − 4 = 49.
  5. Answer: Mean 28.44, median 26, mode 13, range 49

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.

COMMON-CORE COM-723.1 — Mapped statement covering Mean in Context.OCR OCR-354.2 — Mapped statement covering Mean in Context.

Every free resource for Mean in Context

One concept, one ecosystem — all of it free.

Free Mean in Context worksheets
Free Mean in Context quizzes
Free Mean in Context flashcards
Free Mean in Context lesson plans

Goes deeper

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

Mean in Context Essentials
Mean in Context Techniques
Mean in Context Word Problems
Mean in Context Common Errors

Sibling concepts

Introducing Mean
Working with Mean

Related concepts

Lateral links, including across subjects.

Introducing Mean
Working with Mean
Range

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

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