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Free Grade 3 Range Worksheets

Free Grade 3 worksheets 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

Higher

Estimated time

15 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 2, 4, 8, 13, 19, find the mean, median, mode and range.[1]
  2. 2.For the data 1, 2, 12, 15, 17, find the mean, median, mode and range.[1]
  3. 3.For the data 1, 10, 17, 19, 20, find the mean, median, mode and range.[1]
  4. 4.For the data 3, 4, 9, 12, 16, find the mean, median, mode and range.[1]
  5. 5.For the data 2, 3, 5, 22, 30, 34, 37, find the mean, median, mode and range.[2]
  6. 6.For the data 13, 14, 19, 28, 33, 40, 40, find the mean, median, mode and range.[2]
  7. 7.For the data 8, 12, 13, 14, 15, 28, 40, find the mean, median, mode and range.[2]
  8. 8.For the data 17, 22, 27, 27, 28, 29, 33, find the mean, median, mode and range.[2]
  9. 9.For the data 7, 13, 18, 20, 24, 27, 35, 40, 53, find the mean, median, mode and range.[3]
  10. 10.For the data 1, 19, 23, 25, 40, 46, 49, 57, 59, find the mean, median, mode and range.[3]
  11. 11.For the data 10, 12, 23, 23, 34, 39, 39, 49, 58, find the mean, median, mode and range.[3]
  12. 12.For the data 20, 22, 26, 31, 46, 46, 48, 55, 58, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 9.2, median 8, mode none, range 17

    Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 19 − 2 = 17.

  2. 2. Mean 9.4, median 12, mode none, range 16

    Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 17 − 1 = 16.

  3. 3. Mean 13.4, median 17, mode none, range 19

    Mean = 67 ÷ 5 = 13.4. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 20 − 1 = 19.

  4. 4. Mean 8.8, median 9, mode none, range 13

    Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 16 − 3 = 13.

  5. 5. Mean 19, median 22, mode none, range 35

    Mean = 133 ÷ 7 = 19. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 37 − 2 = 35.

  6. 6. Mean 26.71, median 28, mode 40, range 27

    Mean = 187 ÷ 7 = 26.71. Median = middle value in order = 28. Mode = most common = 40. Range = 40 − 13 = 27.

  7. 7. Mean 18.57, median 14, mode none, range 32

    Mean = 130 ÷ 7 = 18.57. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 40 − 8 = 32.

  8. 8. Mean 26.14, median 27, mode 27, range 16

    Mean = 183 ÷ 7 = 26.14. Median = middle value in order = 27. Mode = most common = 27. Range = 33 − 17 = 16.

  9. 9. Mean 26.33, median 24, mode none, range 46

    Mean = 237 ÷ 9 = 26.33. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 53 − 7 = 46.

  10. 10. Mean 35.44, median 40, mode none, range 58

    Mean = 319 ÷ 9 = 35.44. Median = middle value in order = 40. Mode = most common = no repeated value. Range = 59 − 1 = 58.

  11. 11. Mean 31.89, median 34, mode 23 and 39, range 48

    Mean = 287 ÷ 9 = 31.89. Median = middle value in order = 34. Mode = most common = 23 and 39. Range = 58 − 10 = 48.

  12. 12. Mean 39.11, median 46, mode 46, range 38

    Mean = 352 ÷ 9 = 39.11. Median = middle value in order = 46. Mode = most common = 46. Range = 58 − 20 = 38.

Worked examples

Easy example

For the data 3, 6, 11, 13, 16, find the mean, median, mode and range.

  1. Mean = 49 ÷ 5 = 9.8.
  2. Median = middle value in order = 11.
  3. Mode = most common = no repeated value.
  4. Range = 16 − 3 = 13.
  5. Answer: Mean 9.8, median 11, mode none, range 13
Medium example

For the data 10, 19, 25, 29, 35, 38, 40, find the mean, median, mode and range.

  1. Mean = 196 ÷ 7 = 28.
  2. Median = middle value in order = 29.
  3. Mode = most common = no repeated value.
  4. Range = 40 − 10 = 30.
  5. Answer: Mean 28, median 29, mode none, range 30
Hard example

For the data 1, 8, 14, 22, 33, 36, 40, 49, 55, find the mean, median, mode and range.

  1. Mean = 258 ÷ 9 = 28.67.
  2. Median = middle value in order = 33.
  3. Mode = most common = no repeated value.
  4. Range = 55 − 1 = 54.
  5. Answer: Mean 28.67, median 33, mode none, range 54

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 quizzes
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 worksheet really free?
Yes. Every worksheets 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 worksheet 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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