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Free Grade 3 Introducing Range Essentials in Examinations Quizzes

Free Grade 3 quizzes for Introducing Range Essentials in Examinations: 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

Stretch

Estimated time

15 min

Total marks

24

Learning objectives

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

  • RememberIdentify introducing range essentials in examinations

    Identify introducing range essentials in examinations accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing range essentials in examinations

    Explain introducing range essentials in examinations accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing range essentials in examinations

    Calculate introducing range essentials in examinations accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing range essentials in examinations

    Compare introducing range essentials in examinations 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 Introducing Range Essentials in Examinations 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, 2, 9, 10, 20, find the mean, median, mode and range.[1]
  2. 2.For the data 2, 5, 8, 11, 16, find the mean, median, mode and range.[1]
  3. 3.For the data 5, 8, 8, 19, 19, find the mean, median, mode and range.[1]
  4. 4.For the data 1, 7, 8, 10, 14, find the mean, median, mode and range.[1]
  5. 5.For the data 7, 8, 14, 18, 24, 37, 40, find the mean, median, mode and range.[2]
  6. 6.For the data 5, 9, 12, 15, 17, 37, 40, find the mean, median, mode and range.[2]
  7. 7.For the data 7, 12, 15, 16, 25, 35, 39, find the mean, median, mode and range.[2]
  8. 8.For the data 4, 9, 17, 17, 19, 24, 26, find the mean, median, mode and range.[2]
  9. 9.For the data 4, 10, 12, 13, 18, 18, 48, 52, 56, find the mean, median, mode and range.[3]
  10. 10.For the data 7, 26, 27, 36, 43, 49, 54, 56, 60, find the mean, median, mode and range.[3]
  11. 11.For the data 2, 5, 9, 34, 35, 47, 51, 55, 60, find the mean, median, mode and range.[3]
  12. 12.For the data 3, 9, 14, 18, 45, 49, 55, 59, 60, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 8.4, median 9, mode none, range 19

    Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 20 − 1 = 19.

  2. 2. Mean 8.4, median 8, mode none, range 14

    Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 16 − 2 = 14.

  3. 3. Mean 11.8, median 8, mode 8 and 19, range 14

    Mean = 59 ÷ 5 = 11.8. Median = middle value in order = 8. Mode = most common = 8 and 19. Range = 19 − 5 = 14.

  4. 4. Mean 8, median 8, mode none, range 13

    Mean = 40 ÷ 5 = 8. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 14 − 1 = 13.

  5. 5. Mean 21.14, median 18, mode none, range 33

    Mean = 148 ÷ 7 = 21.14. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 40 − 7 = 33.

  6. 6. Mean 19.29, median 15, mode none, range 35

    Mean = 135 ÷ 7 = 19.29. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 40 − 5 = 35.

  7. 7. Mean 21.29, median 16, mode none, range 32

    Mean = 149 ÷ 7 = 21.29. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 39 − 7 = 32.

  8. 8. Mean 16.57, median 17, mode 17, range 22

    Mean = 116 ÷ 7 = 16.57. Median = middle value in order = 17. Mode = most common = 17. Range = 26 − 4 = 22.

  9. 9. Mean 25.67, median 18, mode 18, range 52

    Mean = 231 ÷ 9 = 25.67. Median = middle value in order = 18. Mode = most common = 18. Range = 56 − 4 = 52.

  10. 10. Mean 39.78, median 43, mode none, range 53

    Mean = 358 ÷ 9 = 39.78. Median = middle value in order = 43. Mode = most common = no repeated value. Range = 60 − 7 = 53.

  11. 11. Mean 33.11, median 35, mode none, range 58

    Mean = 298 ÷ 9 = 33.11. Median = middle value in order = 35. Mode = most common = no repeated value. Range = 60 − 2 = 58.

  12. 12. Mean 34.67, median 45, mode none, range 57

    Mean = 312 ÷ 9 = 34.67. Median = middle value in order = 45. Mode = most common = no repeated value. Range = 60 − 3 = 57.

Worked examples

Easy example

For the data 6, 9, 10, 11, 20, find the mean, median, mode and range.

  1. Mean = 56 ÷ 5 = 11.2.
  2. Median = middle value in order = 10.
  3. Mode = most common = no repeated value.
  4. Range = 20 − 6 = 14.
  5. Answer: Mean 11.2, median 10, mode none, range 14
Medium example

For the data 2, 7, 15, 18, 23, 38, 39, find the mean, median, mode and range.

  1. Mean = 142 ÷ 7 = 20.29.
  2. Median = middle value in order = 18.
  3. Mode = most common = no repeated value.
  4. Range = 39 − 2 = 37.
  5. Answer: Mean 20.29, median 18, mode none, range 37
Hard example

For the data 3, 7, 20, 30, 32, 34, 37, 51, 60, find the mean, median, mode and range.

  1. Mean = 274 ÷ 9 = 30.44.
  2. Median = middle value in order = 32.
  3. Mode = most common = no repeated value.
  4. Range = 60 − 3 = 57.
  5. Answer: Mean 30.44, median 32, mode none, range 57

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-987.1 — Mapped statement covering Introducing Range Essentials in Examinations.OCR OCR-812.2 — Mapped statement covering Introducing Range Essentials in Examinations.

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Frequently asked

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What should a learner already know before this?
Start with Working with Introducing Range Essentials, Rules and Methods in Introducing Range Essentials, Mode. Each one has its own free lesson, worksheet and quiz.
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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 Essentials in Examinations?
Move on to Introducing Range Techniques, Introducing Range Word Problems, Introducing Range Common Errors, which build directly on this idea.

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