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Free Grade 3 Introducing Range Word Problems Lesson Plans

Free Grade 3 lesson plans for Introducing Range 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

35 min

Total marks

24

Learning objectives

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

  • RememberIdentify introducing range word problems

    Identify introducing range word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing range word problems

    Explain introducing range word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing range word problems

    Calculate introducing range word problems accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing range word problems

    Compare introducing range 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 Introducing Range 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 6, 8, 8, 11, 14, find the mean, median, mode and range.[1]
  2. 2.For the data 2, 3, 11, 17, 18, find the mean, median, mode and range.[1]
  3. 3.For the data 5, 6, 13, 15, 20, find the mean, median, mode and range.[1]
  4. 4.For the data 3, 3, 4, 5, 14, find the mean, median, mode and range.[1]
  5. 5.For the data 4, 6, 10, 17, 20, 24, 28, find the mean, median, mode and range.[2]
  6. 6.For the data 2, 16, 20, 29, 30, 33, 36, find the mean, median, mode and range.[2]
  7. 7.For the data 4, 10, 14, 19, 24, 27, 38, find the mean, median, mode and range.[2]
  8. 8.For the data 2, 17, 19, 22, 24, 25, 26, find the mean, median, mode and range.[2]
  9. 9.For the data 4, 4, 6, 26, 29, 33, 35, 41, 43, find the mean, median, mode and range.[3]
  10. 10.For the data 24, 24, 28, 36, 37, 41, 42, 47, 50, find the mean, median, mode and range.[3]
  11. 11.For the data 1, 7, 12, 15, 16, 27, 30, 37, 59, find the mean, median, mode and range.[3]
  12. 12.For the data 1, 2, 5, 13, 20, 26, 26, 53, 54, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 9.4, median 8, mode 8, range 8

    Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 8. Mode = most common = 8. Range = 14 − 6 = 8.

  2. 2. Mean 10.2, median 11, mode none, range 16

    Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 18 − 2 = 16.

  3. 3. Mean 11.8, median 13, mode none, range 15

    Mean = 59 ÷ 5 = 11.8. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 20 − 5 = 15.

  4. 4. Mean 5.8, median 4, mode 3, range 11

    Mean = 29 ÷ 5 = 5.8. Median = middle value in order = 4. Mode = most common = 3. Range = 14 − 3 = 11.

  5. 5. Mean 15.57, median 17, mode none, range 24

    Mean = 109 ÷ 7 = 15.57. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 28 − 4 = 24.

  6. 6. Mean 23.71, median 29, mode none, range 34

    Mean = 166 ÷ 7 = 23.71. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 36 − 2 = 34.

  7. 7. Mean 19.43, median 19, mode none, range 34

    Mean = 136 ÷ 7 = 19.43. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 38 − 4 = 34.

  8. 8. Mean 19.29, median 22, mode none, range 24

    Mean = 135 ÷ 7 = 19.29. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 26 − 2 = 24.

  9. 9. Mean 24.56, median 29, mode 4, range 39

    Mean = 221 ÷ 9 = 24.56. Median = middle value in order = 29. Mode = most common = 4. Range = 43 − 4 = 39.

  10. 10. Mean 36.56, median 37, mode 24, range 26

    Mean = 329 ÷ 9 = 36.56. Median = middle value in order = 37. Mode = most common = 24. Range = 50 − 24 = 26.

  11. 11. Mean 22.67, median 16, mode none, range 58

    Mean = 204 ÷ 9 = 22.67. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 59 − 1 = 58.

  12. 12. Mean 22.22, median 20, mode 26, range 53

    Mean = 200 ÷ 9 = 22.22. Median = middle value in order = 20. Mode = most common = 26. Range = 54 − 1 = 53.

Worked examples

Easy example

For the data 7, 13, 16, 17, 19, find the mean, median, mode and range.

  1. Mean = 72 ÷ 5 = 14.4.
  2. Median = middle value in order = 16.
  3. Mode = most common = no repeated value.
  4. Range = 19 − 7 = 12.
  5. Answer: Mean 14.4, median 16, mode none, range 12
Medium example

For the data 4, 7, 9, 15, 26, 32, 33, find the mean, median, mode and range.

  1. Mean = 126 ÷ 7 = 18.
  2. Median = middle value in order = 15.
  3. Mode = most common = no repeated value.
  4. Range = 33 − 4 = 29.
  5. Answer: Mean 18, median 15, mode none, range 29
Hard example

For the data 1, 5, 21, 32, 35, 37, 39, 49, 52, find the mean, median, mode and range.

  1. Mean = 271 ÷ 9 = 30.11.
  2. Median = middle value in order = 35.
  3. Mode = most common = no repeated value.
  4. Range = 52 − 1 = 51.
  5. Answer: Mean 30.11, median 35, mode none, range 51

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-143.1 — Mapped statement covering Introducing Range Word Problems.EDEXCEL EDE-404.2 — Mapped statement covering Introducing Range Word Problems.

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Frequently asked

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

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