FreeMathWorksheet
Free · Grade 3 · Quizzes

Free Grade 3 Introducing Range Quizzes

Free Grade 3 quizzes 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

Foundation

Estimated time

35 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 8, 13, 13, 18, 20, find the mean, median, mode and range.[1]
  2. 2.For the data 2, 4, 10, 13, 16, find the mean, median, mode and range.[1]
  3. 3.For the data 5, 12, 13, 18, 18, find the mean, median, mode and range.[1]
  4. 4.For the data 5, 5, 7, 14, 16, find the mean, median, mode and range.[1]
  5. 5.For the data 7, 11, 13, 18, 27, 30, 30, find the mean, median, mode and range.[2]
  6. 6.For the data 2, 4, 13, 22, 27, 35, 40, find the mean, median, mode and range.[2]
  7. 7.For the data 1, 19, 20, 24, 26, 26, 34, find the mean, median, mode and range.[2]
  8. 8.For the data 4, 9, 14, 23, 24, 40, 40, find the mean, median, mode and range.[2]
  9. 9.For the data 1, 6, 7, 8, 40, 45, 45, 47, 59, find the mean, median, mode and range.[3]
  10. 10.For the data 12, 19, 20, 24, 26, 27, 46, 51, 56, find the mean, median, mode and range.[3]
  11. 11.For the data 8, 10, 13, 25, 36, 50, 51, 51, 54, find the mean, median, mode and range.[3]
  12. 12.For the data 12, 16, 24, 24, 24, 46, 52, 53, 55, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 14.4, median 13, mode 13, range 12

    Mean = 72 ÷ 5 = 14.4. Median = middle value in order = 13. Mode = most common = 13. Range = 20 − 8 = 12.

  2. 2. Mean 9, median 10, mode none, range 14

    Mean = 45 ÷ 5 = 9. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 16 − 2 = 14.

  3. 3. Mean 13.2, median 13, mode 18, range 13

    Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 13. Mode = most common = 18. Range = 18 − 5 = 13.

  4. 4. Mean 9.4, median 7, mode 5, range 11

    Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 7. Mode = most common = 5. Range = 16 − 5 = 11.

  5. 5. Mean 19.43, median 18, mode 30, range 23

    Mean = 136 ÷ 7 = 19.43. Median = middle value in order = 18. Mode = most common = 30. Range = 30 − 7 = 23.

  6. 6. Mean 20.43, median 22, mode none, range 38

    Mean = 143 ÷ 7 = 20.43. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 40 − 2 = 38.

  7. 7. Mean 21.43, median 24, mode 26, range 33

    Mean = 150 ÷ 7 = 21.43. Median = middle value in order = 24. Mode = most common = 26. Range = 34 − 1 = 33.

  8. 8. Mean 22, median 23, mode 40, range 36

    Mean = 154 ÷ 7 = 22. Median = middle value in order = 23. Mode = most common = 40. Range = 40 − 4 = 36.

  9. 9. Mean 28.67, median 40, mode 45, range 58

    Mean = 258 ÷ 9 = 28.67. Median = middle value in order = 40. Mode = most common = 45. Range = 59 − 1 = 58.

  10. 10. Mean 31.22, median 26, mode none, range 44

    Mean = 281 ÷ 9 = 31.22. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 56 − 12 = 44.

  11. 11. Mean 33.11, median 36, mode 51, range 46

    Mean = 298 ÷ 9 = 33.11. Median = middle value in order = 36. Mode = most common = 51. Range = 54 − 8 = 46.

  12. 12. Mean 34, median 24, mode 24, range 43

    Mean = 306 ÷ 9 = 34. Median = middle value in order = 24. Mode = most common = 24. Range = 55 − 12 = 43.

Worked examples

Easy example

For the data 2, 3, 6, 8, 13, find the mean, median, mode and range.

  1. Mean = 32 ÷ 5 = 6.4.
  2. Median = middle value in order = 6.
  3. Mode = most common = no repeated value.
  4. Range = 13 − 2 = 11.
  5. Answer: Mean 6.4, median 6, mode none, range 11
Medium example

For the data 12, 23, 32, 33, 35, 38, 39, find the mean, median, mode and range.

  1. Mean = 212 ÷ 7 = 30.29.
  2. Median = middle value in order = 33.
  3. Mode = most common = no repeated value.
  4. Range = 39 − 12 = 27.
  5. Answer: Mean 30.29, median 33, mode none, range 27
Hard example

For the data 13, 21, 30, 34, 36, 39, 45, 47, 47, find the mean, median, mode and range.

  1. Mean = 312 ÷ 9 = 34.67.
  2. Median = middle value in order = 36.
  3. Mode = most common = 47.
  4. Range = 47 − 13 = 34.
  5. Answer: Mean 34.67, median 36, mode 47, range 34

Interactive practice

Free, no account required — answer on screen or print it.

Open the free quizDownload printable packPractise with the AI Tutor

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 flashcards
Free Introducing Range lessons
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 quiz really free?
Yes. Every quizzes 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 quiz 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.

Related resources

Free AI Tutor

Stuck on Introducing Range? The AI Tutor already knows this page, its prerequisites and its common mistakes.

Open the free AI Tutor