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Free Grade 3 Range in Context Lessons

Free Grade 3 lessons for Range 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

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

    Identify range in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain range in context

    Explain range in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate range in context

    Calculate range in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare range in context

    Compare range 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 Range
Introducing Range
Mode

How Range 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 2, 7, 10, 14, 15, find the mean, median, mode and range.[1]
  2. 2.For the data 5, 8, 12, 13, 15, find the mean, median, mode and range.[1]
  3. 3.For the data 7, 10, 13, 13, 18, find the mean, median, mode and range.[1]
  4. 4.For the data 1, 2, 4, 4, 19, find the mean, median, mode and range.[1]
  5. 5.For the data 18, 21, 25, 26, 33, 37, 38, find the mean, median, mode and range.[2]
  6. 6.For the data 2, 10, 10, 12, 14, 32, 40, find the mean, median, mode and range.[2]
  7. 7.For the data 7, 8, 17, 27, 28, 29, 37, find the mean, median, mode and range.[2]
  8. 8.For the data 1, 16, 25, 27, 29, 32, 32, find the mean, median, mode and range.[2]
  9. 9.For the data 24, 25, 25, 35, 43, 47, 51, 54, 58, find the mean, median, mode and range.[3]
  10. 10.For the data 5, 8, 13, 16, 18, 28, 33, 34, 54, find the mean, median, mode and range.[3]
  11. 11.For the data 5, 6, 21, 44, 45, 46, 52, 55, 57, find the mean, median, mode and range.[3]
  12. 12.For the data 4, 10, 19, 25, 30, 34, 41, 42, 43, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 9.6, median 10, mode none, range 13

    Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 15 − 2 = 13.

  2. 2. Mean 10.6, median 12, mode none, range 10

    Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 15 − 5 = 10.

  3. 3. Mean 12.2, median 13, mode 13, range 11

    Mean = 61 ÷ 5 = 12.2. Median = middle value in order = 13. Mode = most common = 13. Range = 18 − 7 = 11.

  4. 4. Mean 6, median 4, mode 4, range 18

    Mean = 30 ÷ 5 = 6. Median = middle value in order = 4. Mode = most common = 4. Range = 19 − 1 = 18.

  5. 5. Mean 28.29, median 26, mode none, range 20

    Mean = 198 ÷ 7 = 28.29. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 38 − 18 = 20.

  6. 6. Mean 17.14, median 12, mode 10, range 38

    Mean = 120 ÷ 7 = 17.14. Median = middle value in order = 12. Mode = most common = 10. Range = 40 − 2 = 38.

  7. 7. Mean 21.86, median 27, mode none, range 30

    Mean = 153 ÷ 7 = 21.86. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 37 − 7 = 30.

  8. 8. Mean 23.14, median 27, mode 32, range 31

    Mean = 162 ÷ 7 = 23.14. Median = middle value in order = 27. Mode = most common = 32. Range = 32 − 1 = 31.

  9. 9. Mean 40.22, median 43, mode 25, range 34

    Mean = 362 ÷ 9 = 40.22. Median = middle value in order = 43. Mode = most common = 25. Range = 58 − 24 = 34.

  10. 10. Mean 23.22, median 18, mode none, range 49

    Mean = 209 ÷ 9 = 23.22. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 54 − 5 = 49.

  11. 11. Mean 36.78, median 45, mode none, range 52

    Mean = 331 ÷ 9 = 36.78. Median = middle value in order = 45. Mode = most common = no repeated value. Range = 57 − 5 = 52.

  12. 12. Mean 27.56, median 30, mode none, range 39

    Mean = 248 ÷ 9 = 27.56. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 43 − 4 = 39.

Worked examples

Easy example

For the data 5, 7, 10, 14, 14, find the mean, median, mode and range.

  1. Mean = 50 ÷ 5 = 10.
  2. Median = middle value in order = 10.
  3. Mode = most common = 14.
  4. Range = 14 − 5 = 9.
  5. Answer: Mean 10, median 10, mode 14, range 9
Medium example

For the data 2, 3, 5, 15, 22, 27, 31, find the mean, median, mode and range.

  1. Mean = 105 ÷ 7 = 15.
  2. Median = middle value in order = 15.
  3. Mode = most common = no repeated value.
  4. Range = 31 − 2 = 29.
  5. Answer: Mean 15, median 15, mode none, range 29
Hard example

For the data 3, 4, 23, 24, 27, 28, 46, 52, 55, find the mean, median, mode and range.

  1. Mean = 262 ÷ 9 = 29.11.
  2. Median = middle value in order = 27.
  3. Mode = most common = no repeated value.
  4. Range = 55 − 3 = 52.
  5. Answer: Mean 29.11, median 27, mode none, range 52

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.

IB IB-485.1 — Mapped statement covering Range in Context.EDEXCEL EDE-566.2 — Mapped statement covering Range in Context.

Every free resource for Range in Context

One concept, one ecosystem — all of it free.

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

Goes deeper

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

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

Sibling concepts

Introducing Range
Working with Range

Related concepts

Lateral links, including across subjects.

Introducing Range
Working with Range
Mode

Next topics

Mean
Median
Mode
Averages from Tables

All free formats for this concept

Every kind below is a real page, generated from this entity.

Frequently asked

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

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