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Free Grade 3 Range Quizzes

Free Grade 3 quizzes for 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

25 min

Total marks

24

Learning objectives

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

  • RememberIdentify range

    Identify range accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain range

    Explain range accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate range

    Calculate range accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare range

    Compare 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
Median
Measurement

How 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, 9, 14, 15, 20, find the mean, median, mode and range.[1]
  2. 2.For the data 10, 13, 14, 17, 19, find the mean, median, mode and range.[1]
  3. 3.For the data 2, 4, 8, 10, 18, find the mean, median, mode and range.[1]
  4. 4.For the data 8, 10, 15, 16, 19, find the mean, median, mode and range.[1]
  5. 5.For the data 7, 12, 14, 21, 24, 31, 38, find the mean, median, mode and range.[2]
  6. 6.For the data 7, 9, 13, 16, 30, 30, 35, find the mean, median, mode and range.[2]
  7. 7.For the data 5, 9, 20, 24, 28, 31, 40, find the mean, median, mode and range.[2]
  8. 8.For the data 3, 8, 20, 20, 31, 35, 40, find the mean, median, mode and range.[2]
  9. 9.For the data 5, 12, 14, 23, 36, 38, 46, 51, 57, find the mean, median, mode and range.[3]
  10. 10.For the data 16, 22, 23, 23, 33, 42, 44, 55, 60, find the mean, median, mode and range.[3]
  11. 11.For the data 2, 6, 17, 18, 20, 50, 52, 54, 55, find the mean, median, mode and range.[3]
  12. 12.For the data 7, 17, 21, 22, 23, 24, 29, 45, 45, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 11.8, median 14, mode none, range 19

    Mean = 59 ÷ 5 = 11.8. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 20 − 1 = 19.

  2. 2. Mean 14.6, median 14, mode none, range 9

    Mean = 73 ÷ 5 = 14.6. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 19 − 10 = 9.

  3. 3. Mean 8.4, median 8, mode none, range 16

    Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 18 − 2 = 16.

  4. 4. Mean 13.6, median 15, mode none, range 11

    Mean = 68 ÷ 5 = 13.6. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 19 − 8 = 11.

  5. 5. Mean 21, median 21, mode none, range 31

    Mean = 147 ÷ 7 = 21. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 38 − 7 = 31.

  6. 6. Mean 20, median 16, mode 30, range 28

    Mean = 140 ÷ 7 = 20. Median = middle value in order = 16. Mode = most common = 30. Range = 35 − 7 = 28.

  7. 7. Mean 22.43, median 24, mode none, range 35

    Mean = 157 ÷ 7 = 22.43. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 40 − 5 = 35.

  8. 8. Mean 22.43, median 20, mode 20, range 37

    Mean = 157 ÷ 7 = 22.43. Median = middle value in order = 20. Mode = most common = 20. Range = 40 − 3 = 37.

  9. 9. Mean 31.33, median 36, mode none, range 52

    Mean = 282 ÷ 9 = 31.33. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 57 − 5 = 52.

  10. 10. Mean 35.33, median 33, mode 23, range 44

    Mean = 318 ÷ 9 = 35.33. Median = middle value in order = 33. Mode = most common = 23. Range = 60 − 16 = 44.

  11. 11. Mean 30.44, median 20, mode none, range 53

    Mean = 274 ÷ 9 = 30.44. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 55 − 2 = 53.

  12. 12. Mean 25.89, median 23, mode 45, range 38

    Mean = 233 ÷ 9 = 25.89. Median = middle value in order = 23. Mode = most common = 45. Range = 45 − 7 = 38.

Worked examples

Easy example

For the data 1, 6, 7, 15, 17, find the mean, median, mode and range.

  1. Mean = 46 ÷ 5 = 9.2.
  2. Median = middle value in order = 7.
  3. Mode = most common = no repeated value.
  4. Range = 17 − 1 = 16.
  5. Answer: Mean 9.2, median 7, mode none, range 16
Medium example

For the data 12, 14, 28, 34, 35, 36, 38, find the mean, median, mode and range.

  1. Mean = 197 ÷ 7 = 28.14.
  2. Median = middle value in order = 34.
  3. Mode = most common = no repeated value.
  4. Range = 38 − 12 = 26.
  5. Answer: Mean 28.14, median 34, mode none, range 26
Hard example

For the data 19, 22, 28, 38, 42, 44, 51, 53, 58, find the mean, median, mode and range.

  1. Mean = 355 ÷ 9 = 39.44.
  2. Median = middle value in order = 42.
  3. Mode = most common = no repeated value.
  4. Range = 58 − 19 = 39.
  5. Answer: Mean 39.44, median 42, mode none, range 39

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.

CAMBRIDGE CAM-332.1 — Mapped statement covering Range.NATIONAL-CURRICULUM NAT-736.2 — Mapped statement covering Range.

Every free resource for Range

One concept, one ecosystem — all of it free.

Free Range worksheets
Free Range flashcards
Free Range lessons
Free Range lesson plans

Goes deeper

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

Introducing Range
Working with Range
Range in Context

Sibling concepts

Mean
Median
Mode
Averages from Tables

Related concepts

Lateral links, including across subjects.

Mean
Median
Mode
Averages from Tables
Data Presentation

Next topics

Averages from Tables
Data Presentation
Data Collection

All free formats for this concept

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

Frequently asked

Is this Grade 3 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, Median, Measurement. 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 Range?
Move on to Averages from Tables, Data Presentation, Data Collection, which build directly on this idea.

Related resources

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