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Free Grade 3 Range in Context Techniques Lesson Plans

Free Grade 3 lesson plans for Range in Context Techniques: 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

35 min

Total marks

24

Learning objectives

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

  • RememberIdentify range in context techniques

    Identify range in context techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain range in context techniques

    Explain range in context techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate range in context techniques

    Calculate range in context techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare range in context techniques

    Compare range in context techniques 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 Range in Context Techniques 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 1, 6, 13, 14, 15, find the mean, median, mode and range.[1]
  2. 2.For the data 4, 5, 9, 15, 18, find the mean, median, mode and range.[1]
  3. 3.For the data 4, 5, 5, 10, 15, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 10, 12, 14, 19, find the mean, median, mode and range.[1]
  5. 5.For the data 1, 7, 11, 18, 27, 28, 32, find the mean, median, mode and range.[2]
  6. 6.For the data 12, 15, 21, 24, 36, 37, 39, find the mean, median, mode and range.[2]
  7. 7.For the data 1, 10, 10, 22, 27, 27, 36, find the mean, median, mode and range.[2]
  8. 8.For the data 14, 21, 22, 29, 31, 32, 39, find the mean, median, mode and range.[2]
  9. 9.For the data 7, 10, 16, 17, 23, 23, 33, 39, 54, find the mean, median, mode and range.[3]
  10. 10.For the data 7, 15, 17, 25, 31, 33, 35, 37, 40, find the mean, median, mode and range.[3]
  11. 11.For the data 5, 13, 22, 25, 27, 37, 45, 49, 50, find the mean, median, mode and range.[3]
  12. 12.For the data 5, 28, 28, 47, 51, 54, 56, 57, 59, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 9.8, median 13, mode none, range 14

    Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 15 − 1 = 14.

  2. 2. Mean 10.2, median 9, mode none, range 14

    Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 18 − 4 = 14.

  3. 3. Mean 7.8, median 5, mode 5, range 11

    Mean = 39 ÷ 5 = 7.8. Median = middle value in order = 5. Mode = most common = 5. Range = 15 − 4 = 11.

  4. 4. Mean 11.4, median 12, mode none, range 17

    Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 19 − 2 = 17.

  5. 5. Mean 17.71, median 18, mode none, range 31

    Mean = 124 ÷ 7 = 17.71. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 32 − 1 = 31.

  6. 6. Mean 26.29, median 24, mode none, range 27

    Mean = 184 ÷ 7 = 26.29. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 39 − 12 = 27.

  7. 7. Mean 19, median 22, mode 10 and 27, range 35

    Mean = 133 ÷ 7 = 19. Median = middle value in order = 22. Mode = most common = 10 and 27. Range = 36 − 1 = 35.

  8. 8. Mean 26.86, median 29, mode none, range 25

    Mean = 188 ÷ 7 = 26.86. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 39 − 14 = 25.

  9. 9. Mean 24.67, median 23, mode 23, range 47

    Mean = 222 ÷ 9 = 24.67. Median = middle value in order = 23. Mode = most common = 23. Range = 54 − 7 = 47.

  10. 10. Mean 26.67, median 31, mode none, range 33

    Mean = 240 ÷ 9 = 26.67. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 40 − 7 = 33.

  11. 11. Mean 30.33, median 27, mode none, range 45

    Mean = 273 ÷ 9 = 30.33. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 50 − 5 = 45.

  12. 12. Mean 42.78, median 51, mode 28, range 54

    Mean = 385 ÷ 9 = 42.78. Median = middle value in order = 51. Mode = most common = 28. Range = 59 − 5 = 54.

Worked examples

Easy example

For the data 12, 13, 16, 18, 19, find the mean, median, mode and range.

  1. Mean = 78 ÷ 5 = 15.6.
  2. Median = middle value in order = 16.
  3. Mode = most common = no repeated value.
  4. Range = 19 − 12 = 7.
  5. Answer: Mean 15.6, median 16, mode none, range 7
Medium example

For the data 8, 15, 19, 22, 26, 28, 37, find the mean, median, mode and range.

  1. Mean = 155 ÷ 7 = 22.14.
  2. Median = middle value in order = 22.
  3. Mode = most common = no repeated value.
  4. Range = 37 − 8 = 29.
  5. Answer: Mean 22.14, median 22, mode none, range 29
Hard example

For the data 1, 3, 10, 12, 29, 40, 42, 42, 53, find the mean, median, mode and range.

  1. Mean = 232 ÷ 9 = 25.78.
  2. Median = middle value in order = 29.
  3. Mode = most common = 42.
  4. Range = 53 − 1 = 52.
  5. Answer: Mean 25.78, median 29, mode 42, range 52

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.

CAMBRIDGE CAM-552.1 — Mapped statement covering Range in Context Techniques.NATIONAL-CURRICULUM NAT-424.2 — Mapped statement covering Range in Context Techniques.

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Frequently asked

Is this Grade 3 Range in Context Techniques 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 Range in Context Essentials, Working with Range. 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 Range in Context Techniques?
Move on to Range in Context Word Problems, Range in Context Common Errors, Introducing Range, Working with Range, which build directly on this idea.

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