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Free Grade 3 Range in Context Word Problems Lesson Plans

Free Grade 3 lesson plans for Range in Context Word Problems: 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

25 min

Total marks

24

Learning objectives

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

  • RememberIdentify range in context word problems

    Identify range in context word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain range in context word problems

    Explain range in context word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate range in context word problems

    Calculate range in context word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare range in context word problems

    Compare range in context word problems 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 Word Problems 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 11, 11, 17, 18, 19, find the mean, median, mode and range.[1]
  2. 2.For the data 1, 3, 7, 17, 19, find the mean, median, mode and range.[1]
  3. 3.For the data 5, 6, 8, 14, 15, find the mean, median, mode and range.[1]
  4. 4.For the data 5, 10, 12, 12, 19, find the mean, median, mode and range.[1]
  5. 5.For the data 5, 13, 14, 17, 21, 24, 33, find the mean, median, mode and range.[2]
  6. 6.For the data 3, 8, 11, 17, 28, 35, 40, find the mean, median, mode and range.[2]
  7. 7.For the data 6, 8, 11, 14, 20, 33, 34, find the mean, median, mode and range.[2]
  8. 8.For the data 5, 7, 15, 21, 26, 32, 38, find the mean, median, mode and range.[2]
  9. 9.For the data 3, 6, 7, 10, 14, 14, 41, 42, 51, find the mean, median, mode and range.[3]
  10. 10.For the data 18, 19, 28, 31, 39, 42, 46, 53, 59, find the mean, median, mode and range.[3]
  11. 11.For the data 5, 25, 30, 31, 37, 47, 52, 53, 60, find the mean, median, mode and range.[3]
  12. 12.For the data 6, 11, 12, 15, 23, 25, 32, 40, 51, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 15.2, median 17, mode 11, range 8

    Mean = 76 ÷ 5 = 15.2. Median = middle value in order = 17. Mode = most common = 11. Range = 19 − 11 = 8.

  2. 2. Mean 9.4, median 7, mode none, range 18

    Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 19 − 1 = 18.

  3. 3. Mean 9.6, median 8, mode none, range 10

    Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 15 − 5 = 10.

  4. 4. Mean 11.6, median 12, mode 12, range 14

    Mean = 58 ÷ 5 = 11.6. Median = middle value in order = 12. Mode = most common = 12. Range = 19 − 5 = 14.

  5. 5. Mean 18.14, median 17, mode none, range 28

    Mean = 127 ÷ 7 = 18.14. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 33 − 5 = 28.

  6. 6. Mean 20.29, median 17, mode none, range 37

    Mean = 142 ÷ 7 = 20.29. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 40 − 3 = 37.

  7. 7. Mean 18, median 14, mode none, range 28

    Mean = 126 ÷ 7 = 18. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 34 − 6 = 28.

  8. 8. Mean 20.57, median 21, mode none, range 33

    Mean = 144 ÷ 7 = 20.57. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 38 − 5 = 33.

  9. 9. Mean 20.89, median 14, mode 14, range 48

    Mean = 188 ÷ 9 = 20.89. Median = middle value in order = 14. Mode = most common = 14. Range = 51 − 3 = 48.

  10. 10. Mean 37.22, median 39, mode none, range 41

    Mean = 335 ÷ 9 = 37.22. Median = middle value in order = 39. Mode = most common = no repeated value. Range = 59 − 18 = 41.

  11. 11. Mean 37.78, median 37, mode none, range 55

    Mean = 340 ÷ 9 = 37.78. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 60 − 5 = 55.

  12. 12. Mean 23.89, median 23, mode none, range 45

    Mean = 215 ÷ 9 = 23.89. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 51 − 6 = 45.

Worked examples

Easy example

For the data 10, 14, 14, 15, 17, find the mean, median, mode and range.

  1. Mean = 70 ÷ 5 = 14.
  2. Median = middle value in order = 14.
  3. Mode = most common = 14.
  4. Range = 17 − 10 = 7.
  5. Answer: Mean 14, median 14, mode 14, range 7
Medium example

For the data 16, 17, 19, 23, 28, 37, 40, find the mean, median, mode and range.

  1. Mean = 180 ÷ 7 = 25.71.
  2. Median = middle value in order = 23.
  3. Mode = most common = no repeated value.
  4. Range = 40 − 16 = 24.
  5. Answer: Mean 25.71, median 23, mode none, range 24
Hard example

For the data 7, 25, 25, 31, 33, 37, 39, 49, 60, find the mean, median, mode and range.

  1. Mean = 306 ÷ 9 = 34.
  2. Median = middle value in order = 33.
  3. Mode = most common = 25.
  4. Range = 60 − 7 = 53.
  5. Answer: Mean 34, median 33, mode 25, range 53

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.

IB IB-229.1 — Mapped statement covering Range in Context Word Problems.EDEXCEL EDE-900.2 — Mapped statement covering Range in Context Word Problems.

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Frequently asked

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

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