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Free Grade 3 Working with Range Essentials Flashcards

Free Grade 3 flashcards for Working with Range Essentials: 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

30 min

Total marks

24

Learning objectives

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

  • RememberIdentify working with range essentials

    Identify working with range essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with range essentials

    Explain working with range essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with range essentials

    Calculate working with range essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with range essentials

    Compare working with range essentials 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.

How Working with Range Essentials 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 5, 9, 9, 11, 14, find the mean, median, mode and range.[1]
  2. 2.For the data 2, 6, 7, 19, 20, find the mean, median, mode and range.[1]
  3. 3.For the data 3, 4, 4, 11, 15, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 7, 14, 15, 15, find the mean, median, mode and range.[1]
  5. 5.For the data 7, 12, 17, 18, 30, 36, 40, find the mean, median, mode and range.[2]
  6. 6.For the data 3, 9, 15, 19, 31, 37, 40, find the mean, median, mode and range.[2]
  7. 7.For the data 6, 6, 9, 16, 19, 19, 27, find the mean, median, mode and range.[2]
  8. 8.For the data 2, 4, 11, 22, 22, 27, 38, find the mean, median, mode and range.[2]
  9. 9.For the data 3, 14, 24, 31, 45, 46, 46, 48, 53, find the mean, median, mode and range.[3]
  10. 10.For the data 10, 15, 17, 21, 24, 33, 37, 41, 49, find the mean, median, mode and range.[3]
  11. 11.For the data 7, 13, 16, 19, 20, 22, 24, 26, 38, find the mean, median, mode and range.[3]
  12. 12.For the data 1, 2, 14, 16, 17, 25, 27, 55, 56, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 9.6, median 9, mode 9, range 9

    Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 9. Mode = most common = 9. Range = 14 − 5 = 9.

  2. 2. Mean 10.8, median 7, mode none, range 18

    Mean = 54 ÷ 5 = 10.8. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 20 − 2 = 18.

  3. 3. Mean 7.4, median 4, mode 4, range 12

    Mean = 37 ÷ 5 = 7.4. Median = middle value in order = 4. Mode = most common = 4. Range = 15 − 3 = 12.

  4. 4. Mean 10.6, median 14, mode 15, range 13

    Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 14. Mode = most common = 15. Range = 15 − 2 = 13.

  5. 5. Mean 22.86, median 18, mode none, range 33

    Mean = 160 ÷ 7 = 22.86. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 40 − 7 = 33.

  6. 6. Mean 22, median 19, mode none, range 37

    Mean = 154 ÷ 7 = 22. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 40 − 3 = 37.

  7. 7. Mean 14.57, median 16, mode 6 and 19, range 21

    Mean = 102 ÷ 7 = 14.57. Median = middle value in order = 16. Mode = most common = 6 and 19. Range = 27 − 6 = 21.

  8. 8. Mean 18, median 22, mode 22, range 36

    Mean = 126 ÷ 7 = 18. Median = middle value in order = 22. Mode = most common = 22. Range = 38 − 2 = 36.

  9. 9. Mean 34.44, median 45, mode 46, range 50

    Mean = 310 ÷ 9 = 34.44. Median = middle value in order = 45. Mode = most common = 46. Range = 53 − 3 = 50.

  10. 10. Mean 27.44, median 24, mode none, range 39

    Mean = 247 ÷ 9 = 27.44. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 49 − 10 = 39.

  11. 11. Mean 20.56, median 20, mode none, range 31

    Mean = 185 ÷ 9 = 20.56. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 38 − 7 = 31.

  12. 12. Mean 23.67, median 17, mode none, range 55

    Mean = 213 ÷ 9 = 23.67. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 56 − 1 = 55.

Worked examples

Easy example

For the data 8, 8, 11, 14, 16, find the mean, median, mode and range.

  1. Mean = 57 ÷ 5 = 11.4.
  2. Median = middle value in order = 11.
  3. Mode = most common = 8.
  4. Range = 16 − 8 = 8.
  5. Answer: Mean 11.4, median 11, mode 8, range 8
Medium example

For the data 9, 15, 16, 16, 19, 28, 33, find the mean, median, mode and range.

  1. Mean = 136 ÷ 7 = 19.43.
  2. Median = middle value in order = 16.
  3. Mode = most common = 16.
  4. Range = 33 − 9 = 24.
  5. Answer: Mean 19.43, median 16, mode 16, range 24
Hard example

For the data 5, 8, 21, 27, 34, 39, 48, 50, 50, find the mean, median, mode and range.

  1. Mean = 282 ÷ 9 = 31.33.
  2. Median = middle value in order = 34.
  3. Mode = most common = 50.
  4. Range = 50 − 5 = 45.
  5. Answer: Mean 31.33, median 34, mode 50, range 45

Interactive practice

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

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.

COMMON-CORE COM-319.1 — Mapped statement covering Working with Range Essentials.OCR OCR-934.2 — Mapped statement covering Working with Range Essentials.

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Frequently asked

Is this Grade 3 Working with Range Essentials flashcards really free?
Yes. Every flashcards 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 Introducing Range. Each one has its own free lesson, worksheet and quiz.
How is the flashcards 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 Working with Range Essentials?
Move on to Working with Range Techniques, Working with Range Word Problems, Working with Range Common Errors, Introducing Range, which build directly on this idea.

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