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Free Grade 3 Rules and Methods in Introducing Range Essentials Quizzes

Free Grade 3 quizzes for Rules and Methods in Introducing 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

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 rules and methods in introducing range essentials

    Identify rules and methods in introducing range essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain rules and methods in introducing range essentials

    Explain rules and methods in introducing range essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate rules and methods in introducing range essentials

    Calculate rules and methods in introducing range essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare rules and methods in introducing range essentials

    Compare rules and methods in introducing 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 Rules and Methods in Introducing 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 6, 14, 16, 16, 17, find the mean, median, mode and range.[1]
  2. 2.For the data 5, 8, 11, 18, 19, find the mean, median, mode and range.[1]
  3. 3.For the data 2, 7, 10, 15, 16, find the mean, median, mode and range.[1]
  4. 4.For the data 10, 11, 14, 17, 18, find the mean, median, mode and range.[1]
  5. 5.For the data 11, 12, 26, 27, 33, 35, 36, find the mean, median, mode and range.[2]
  6. 6.For the data 3, 4, 4, 13, 19, 31, 37, find the mean, median, mode and range.[2]
  7. 7.For the data 6, 12, 23, 23, 37, 39, 39, find the mean, median, mode and range.[2]
  8. 8.For the data 5, 7, 16, 18, 19, 25, 33, find the mean, median, mode and range.[2]
  9. 9.For the data 3, 6, 35, 41, 49, 52, 53, 54, 58, find the mean, median, mode and range.[3]
  10. 10.For the data 4, 17, 21, 22, 38, 48, 49, 59, 60, find the mean, median, mode and range.[3]
  11. 11.For the data 7, 7, 22, 27, 31, 35, 35, 50, 58, find the mean, median, mode and range.[3]
  12. 12.For the data 3, 11, 15, 21, 27, 31, 41, 42, 49, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 13.8, median 16, mode 16, range 11

    Mean = 69 ÷ 5 = 13.8. Median = middle value in order = 16. Mode = most common = 16. Range = 17 − 6 = 11.

  2. 2. Mean 12.2, median 11, mode none, range 14

    Mean = 61 ÷ 5 = 12.2. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 19 − 5 = 14.

  3. 3. Mean 10, median 10, mode none, range 14

    Mean = 50 ÷ 5 = 10. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 16 − 2 = 14.

  4. 4. Mean 14, median 14, mode none, range 8

    Mean = 70 ÷ 5 = 14. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 18 − 10 = 8.

  5. 5. Mean 25.71, median 27, mode none, range 25

    Mean = 180 ÷ 7 = 25.71. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 36 − 11 = 25.

  6. 6. Mean 15.86, median 13, mode 4, range 34

    Mean = 111 ÷ 7 = 15.86. Median = middle value in order = 13. Mode = most common = 4. Range = 37 − 3 = 34.

  7. 7. Mean 25.57, median 23, mode 23 and 39, range 33

    Mean = 179 ÷ 7 = 25.57. Median = middle value in order = 23. Mode = most common = 23 and 39. Range = 39 − 6 = 33.

  8. 8. Mean 17.57, median 18, mode none, range 28

    Mean = 123 ÷ 7 = 17.57. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 33 − 5 = 28.

  9. 9. Mean 39, median 49, mode none, range 55

    Mean = 351 ÷ 9 = 39. Median = middle value in order = 49. Mode = most common = no repeated value. Range = 58 − 3 = 55.

  10. 10. Mean 35.33, median 38, mode none, range 56

    Mean = 318 ÷ 9 = 35.33. Median = middle value in order = 38. Mode = most common = no repeated value. Range = 60 − 4 = 56.

  11. 11. Mean 30.22, median 31, mode 7 and 35, range 51

    Mean = 272 ÷ 9 = 30.22. Median = middle value in order = 31. Mode = most common = 7 and 35. Range = 58 − 7 = 51.

  12. 12. Mean 26.67, median 27, mode none, range 46

    Mean = 240 ÷ 9 = 26.67. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 49 − 3 = 46.

Worked examples

Easy example

For the data 8, 12, 19, 19, 20, find the mean, median, mode and range.

  1. Mean = 78 ÷ 5 = 15.6.
  2. Median = middle value in order = 19.
  3. Mode = most common = 19.
  4. Range = 20 − 8 = 12.
  5. Answer: Mean 15.6, median 19, mode 19, range 12
Medium example

For the data 6, 6, 19, 19, 27, 34, 40, find the mean, median, mode and range.

  1. Mean = 151 ÷ 7 = 21.57.
  2. Median = middle value in order = 19.
  3. Mode = most common = 6 and 19.
  4. Range = 40 − 6 = 34.
  5. Answer: Mean 21.57, median 19, mode 6 and 19, range 34
Hard example

For the data 6, 7, 14, 17, 23, 40, 43, 48, 49, find the mean, median, mode and range.

  1. Mean = 247 ÷ 9 = 27.44.
  2. Median = middle value in order = 23.
  3. Mode = most common = no repeated value.
  4. Range = 49 − 6 = 43.
  5. Answer: Mean 27.44, median 23, mode none, range 43

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.

IB IB-353.1 — Mapped statement covering Rules and Methods in Introducing Range Essentials.EDEXCEL EDE-764.2 — Mapped statement covering Rules and Methods in Introducing Range Essentials.

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Frequently asked

Is this Grade 3 Rules and Methods in Introducing Range Essentials quiz really free?
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What should a learner already know before this?
Start with Key Vocabulary of Introducing Range Essentials, Introduction to Introducing Range Essentials, 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 Rules and Methods in Introducing Range Essentials?
Move on to Working with Introducing Range Essentials, Introducing Range Essentials in Examinations, Introducing Range Techniques, Introducing Range Word Problems, which build directly on this idea.

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