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Free Grade 3 Mean in Context Lesson Plans

Free Grade 3 lesson plans 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.

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 9, 10, 11, 11, 19, find the mean, median, mode and range.[1]
  2. 2.For the data 5, 5, 5, 7, 16, find the mean, median, mode and range.[1]
  3. 3.For the data 7, 16, 16, 18, 19, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 6, 10, 15, 17, find the mean, median, mode and range.[1]
  5. 5.For the data 6, 8, 11, 21, 27, 33, 38, find the mean, median, mode and range.[2]
  6. 6.For the data 10, 11, 12, 26, 30, 31, 39, find the mean, median, mode and range.[2]
  7. 7.For the data 4, 5, 20, 26, 38, 38, 39, find the mean, median, mode and range.[2]
  8. 8.For the data 3, 11, 15, 15, 17, 17, 18, find the mean, median, mode and range.[2]
  9. 9.For the data 6, 19, 21, 30, 38, 46, 52, 52, 55, find the mean, median, mode and range.[3]
  10. 10.For the data 6, 20, 26, 29, 31, 37, 38, 49, 57, find the mean, median, mode and range.[3]
  11. 11.For the data 8, 19, 23, 26, 26, 28, 30, 38, 40, find the mean, median, mode and range.[3]
  12. 12.For the data 3, 23, 30, 34, 40, 42, 45, 55, 60, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 12, median 11, mode 11, range 10

    Mean = 60 ÷ 5 = 12. Median = middle value in order = 11. Mode = most common = 11. Range = 19 − 9 = 10.

  2. 2. Mean 7.6, median 5, mode 5, range 11

    Mean = 38 ÷ 5 = 7.6. Median = middle value in order = 5. Mode = most common = 5. Range = 16 − 5 = 11.

  3. 3. Mean 15.2, median 16, mode 16, range 12

    Mean = 76 ÷ 5 = 15.2. Median = middle value in order = 16. Mode = most common = 16. Range = 19 − 7 = 12.

  4. 4. Mean 10, median 10, mode none, range 15

    Mean = 50 ÷ 5 = 10. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 17 − 2 = 15.

  5. 5. Mean 20.57, median 21, mode none, range 32

    Mean = 144 ÷ 7 = 20.57. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 38 − 6 = 32.

  6. 6. Mean 22.71, median 26, mode none, range 29

    Mean = 159 ÷ 7 = 22.71. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 39 − 10 = 29.

  7. 7. Mean 24.29, median 26, mode 38, range 35

    Mean = 170 ÷ 7 = 24.29. Median = middle value in order = 26. Mode = most common = 38. Range = 39 − 4 = 35.

  8. 8. Mean 13.71, median 15, mode 15 and 17, range 15

    Mean = 96 ÷ 7 = 13.71. Median = middle value in order = 15. Mode = most common = 15 and 17. Range = 18 − 3 = 15.

  9. 9. Mean 35.44, median 38, mode 52, range 49

    Mean = 319 ÷ 9 = 35.44. Median = middle value in order = 38. Mode = most common = 52. Range = 55 − 6 = 49.

  10. 10. Mean 32.56, median 31, mode none, range 51

    Mean = 293 ÷ 9 = 32.56. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 57 − 6 = 51.

  11. 11. Mean 26.44, median 26, mode 26, range 32

    Mean = 238 ÷ 9 = 26.44. Median = middle value in order = 26. Mode = most common = 26. Range = 40 − 8 = 32.

  12. 12. Mean 36.89, median 40, mode none, range 57

    Mean = 332 ÷ 9 = 36.89. Median = middle value in order = 40. Mode = most common = no repeated value. Range = 60 − 3 = 57.

Worked examples

Easy example

For the data 2, 3, 10, 11, 19, find the mean, median, mode and range.

  1. Mean = 45 ÷ 5 = 9.
  2. Median = middle value in order = 10.
  3. Mode = most common = no repeated value.
  4. Range = 19 − 2 = 17.
  5. Answer: Mean 9, median 10, mode none, range 17
Medium example

For the data 6, 8, 14, 14, 15, 27, 37, find the mean, median, mode and range.

  1. Mean = 121 ÷ 7 = 17.29.
  2. Median = middle value in order = 14.
  3. Mode = most common = 14.
  4. Range = 37 − 6 = 31.
  5. Answer: Mean 17.29, median 14, mode 14, range 31
Hard example

For the data 14, 17, 18, 18, 22, 43, 44, 50, 52, find the mean, median, mode and range.

  1. Mean = 278 ÷ 9 = 30.89.
  2. Median = middle value in order = 22.
  3. Mode = most common = 18.
  4. Range = 52 − 14 = 38.
  5. Answer: Mean 30.89, median 22, mode 18, range 38

Interactive practice

Free, no account required — answer on screen or print it.

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.

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Frequently asked

Is this Grade 3 Mean in Context 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 Working with Mean, 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 Mean in Context?
Move on to Median, Mode, Range, Averages from Tables, which build directly on this idea.

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