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Free Grade 3 Introducing Range Lessons

Free Grade 3 lessons for Introducing Range: 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

Core

Estimated time

20 min

Total marks

24

Learning objectives

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

  • UnderstandExplain introducing range

    Explain introducing range accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing range

    Calculate introducing range accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing range

    Compare introducing range accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify introducing range

    Justify introducing range 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.

Mode

How Introducing Range 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, 11, 14, 16, 16, find the mean, median, mode and range.[1]
  2. 2.For the data 4, 4, 9, 10, 15, find the mean, median, mode and range.[1]
  3. 3.For the data 4, 6, 6, 10, 14, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 3, 11, 14, 15, find the mean, median, mode and range.[1]
  5. 5.For the data 2, 3, 8, 17, 25, 28, 33, find the mean, median, mode and range.[2]
  6. 6.For the data 2, 2, 12, 13, 15, 16, 32, find the mean, median, mode and range.[2]
  7. 7.For the data 6, 7, 8, 15, 18, 31, 36, find the mean, median, mode and range.[2]
  8. 8.For the data 3, 11, 22, 27, 31, 38, 38, find the mean, median, mode and range.[2]
  9. 9.For the data 3, 8, 16, 22, 23, 24, 41, 44, 56, find the mean, median, mode and range.[3]
  10. 10.For the data 21, 28, 30, 30, 31, 32, 35, 44, 44, find the mean, median, mode and range.[3]
  11. 11.For the data 2, 3, 6, 11, 19, 19, 22, 26, 33, find the mean, median, mode and range.[3]
  12. 12.For the data 4, 13, 23, 40, 42, 48, 53, 54, 55, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 11.6, median 14, mode 16, range 15

    Mean = 58 ÷ 5 = 11.6. Median = middle value in order = 14. Mode = most common = 16. Range = 16 − 1 = 15.

  2. 2. Mean 8.4, median 9, mode 4, range 11

    Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 9. Mode = most common = 4. Range = 15 − 4 = 11.

  3. 3. Mean 8, median 6, mode 6, range 10

    Mean = 40 ÷ 5 = 8. Median = middle value in order = 6. Mode = most common = 6. Range = 14 − 4 = 10.

  4. 4. Mean 9, median 11, mode none, range 13

    Mean = 45 ÷ 5 = 9. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 15 − 2 = 13.

  5. 5. Mean 16.57, median 17, mode none, range 31

    Mean = 116 ÷ 7 = 16.57. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 33 − 2 = 31.

  6. 6. Mean 13.14, median 13, mode 2, range 30

    Mean = 92 ÷ 7 = 13.14. Median = middle value in order = 13. Mode = most common = 2. Range = 32 − 2 = 30.

  7. 7. Mean 17.29, median 15, mode none, range 30

    Mean = 121 ÷ 7 = 17.29. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 36 − 6 = 30.

  8. 8. Mean 24.29, median 27, mode 38, range 35

    Mean = 170 ÷ 7 = 24.29. Median = middle value in order = 27. Mode = most common = 38. Range = 38 − 3 = 35.

  9. 9. Mean 26.33, median 23, mode none, range 53

    Mean = 237 ÷ 9 = 26.33. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 56 − 3 = 53.

  10. 10. Mean 32.78, median 31, mode 30 and 44, range 23

    Mean = 295 ÷ 9 = 32.78. Median = middle value in order = 31. Mode = most common = 30 and 44. Range = 44 − 21 = 23.

  11. 11. Mean 15.67, median 19, mode 19, range 31

    Mean = 141 ÷ 9 = 15.67. Median = middle value in order = 19. Mode = most common = 19. Range = 33 − 2 = 31.

  12. 12. Mean 36.89, median 42, mode none, range 51

    Mean = 332 ÷ 9 = 36.89. Median = middle value in order = 42. Mode = most common = no repeated value. Range = 55 − 4 = 51.

Worked examples

Easy example

For the data 2, 3, 8, 20, 20, find the mean, median, mode and range.

  1. Mean = 53 ÷ 5 = 10.6.
  2. Median = middle value in order = 8.
  3. Mode = most common = 20.
  4. Range = 20 − 2 = 18.
  5. Answer: Mean 10.6, median 8, mode 20, range 18
Medium example

For the data 2, 3, 10, 14, 22, 23, 27, find the mean, median, mode and range.

  1. Mean = 101 ÷ 7 = 14.43.
  2. Median = middle value in order = 14.
  3. Mode = most common = no repeated value.
  4. Range = 27 − 2 = 25.
  5. Answer: Mean 14.43, median 14, mode none, range 25
Hard example

For the data 2, 6, 8, 13, 18, 31, 53, 58, 59, find the mean, median, mode and range.

  1. Mean = 248 ÷ 9 = 27.56.
  2. Median = middle value in order = 18.
  3. Mode = most common = no repeated value.
  4. Range = 59 − 2 = 57.
  5. Answer: Mean 27.56, median 18, mode none, range 57

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.

EDEXCEL EDE-303.1 — Mapped statement covering Introducing Range.CBSE CBS-854.2 — Mapped statement covering Introducing Range.

Every free resource for Introducing Range

One concept, one ecosystem — all of it free.

Free Introducing Range worksheets
Free Introducing Range quizzes
Free Introducing Range flashcards
Free Introducing Range lesson plans

Goes deeper

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

Introducing Range Essentials
Introducing Range Techniques
Introducing Range Word Problems
Introducing Range Common Errors

Sibling concepts

Working with Range
Range in Context

Related concepts

Lateral links, including across subjects.

Working with Range
Range in Context
Averages from Tables

Next topics

Working with Range
Range in Context
Mean
Median

All free formats for this concept

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

Frequently asked

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

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