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Free Grade 3 Working with Introducing Range Common Errors Quizzes

Free Grade 3 quizzes for Working with Introducing Range Common Errors: 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

25 min

Total marks

24

Learning objectives

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

  • RememberIdentify working with introducing range common errors

    Identify working with introducing range common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with introducing range common errors

    Explain working with introducing range common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with introducing range common errors

    Calculate working with introducing range common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with introducing range common errors

    Compare working with introducing range common errors 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 Introducing Range Common Errors 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, 4, 10, 11, 20, find the mean, median, mode and range.[1]
  2. 2.For the data 3, 4, 9, 14, 19, find the mean, median, mode and range.[1]
  3. 3.For the data 8, 10, 10, 14, 15, find the mean, median, mode and range.[1]
  4. 4.For the data 7, 16, 17, 18, 20, find the mean, median, mode and range.[1]
  5. 5.For the data 5, 10, 12, 18, 24, 25, 28, find the mean, median, mode and range.[2]
  6. 6.For the data 18, 21, 23, 23, 25, 31, 37, find the mean, median, mode and range.[2]
  7. 7.For the data 12, 17, 21, 21, 23, 30, 40, find the mean, median, mode and range.[2]
  8. 8.For the data 3, 4, 10, 15, 22, 25, 34, find the mean, median, mode and range.[2]
  9. 9.For the data 1, 13, 23, 33, 39, 40, 44, 52, 60, find the mean, median, mode and range.[3]
  10. 10.For the data 12, 19, 22, 25, 35, 35, 35, 40, 49, find the mean, median, mode and range.[3]
  11. 11.For the data 2, 4, 8, 14, 20, 43, 50, 53, 56, find the mean, median, mode and range.[3]
  12. 12.For the data 4, 13, 14, 36, 38, 42, 52, 54, 54, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 9.2, median 10, mode none, range 19

    Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 20 − 1 = 19.

  2. 2. Mean 9.8, median 9, mode none, range 16

    Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 19 − 3 = 16.

  3. 3. Mean 11.4, median 10, mode 10, range 7

    Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 10. Mode = most common = 10. Range = 15 − 8 = 7.

  4. 4. Mean 15.6, median 17, mode none, range 13

    Mean = 78 ÷ 5 = 15.6. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 20 − 7 = 13.

  5. 5. Mean 17.43, median 18, mode none, range 23

    Mean = 122 ÷ 7 = 17.43. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 28 − 5 = 23.

  6. 6. Mean 25.43, median 23, mode 23, range 19

    Mean = 178 ÷ 7 = 25.43. Median = middle value in order = 23. Mode = most common = 23. Range = 37 − 18 = 19.

  7. 7. Mean 23.43, median 21, mode 21, range 28

    Mean = 164 ÷ 7 = 23.43. Median = middle value in order = 21. Mode = most common = 21. Range = 40 − 12 = 28.

  8. 8. Mean 16.14, median 15, mode none, range 31

    Mean = 113 ÷ 7 = 16.14. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 34 − 3 = 31.

  9. 9. Mean 33.89, median 39, mode none, range 59

    Mean = 305 ÷ 9 = 33.89. Median = middle value in order = 39. Mode = most common = no repeated value. Range = 60 − 1 = 59.

  10. 10. Mean 30.22, median 35, mode 35, range 37

    Mean = 272 ÷ 9 = 30.22. Median = middle value in order = 35. Mode = most common = 35. Range = 49 − 12 = 37.

  11. 11. Mean 27.78, median 20, mode none, range 54

    Mean = 250 ÷ 9 = 27.78. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 56 − 2 = 54.

  12. 12. Mean 34.11, median 38, mode 54, range 50

    Mean = 307 ÷ 9 = 34.11. Median = middle value in order = 38. Mode = most common = 54. Range = 54 − 4 = 50.

Worked examples

Easy example

For the data 5, 7, 8, 12, 20, find the mean, median, mode and range.

  1. Mean = 52 ÷ 5 = 10.4.
  2. Median = middle value in order = 8.
  3. Mode = most common = no repeated value.
  4. Range = 20 − 5 = 15.
  5. Answer: Mean 10.4, median 8, mode none, range 15
Medium example

For the data 6, 8, 20, 21, 24, 27, 33, find the mean, median, mode and range.

  1. Mean = 139 ÷ 7 = 19.86.
  2. Median = middle value in order = 21.
  3. Mode = most common = no repeated value.
  4. Range = 33 − 6 = 27.
  5. Answer: Mean 19.86, median 21, mode none, range 27
Hard example

For the data 10, 13, 17, 33, 37, 37, 42, 57, 58, find the mean, median, mode and range.

  1. Mean = 304 ÷ 9 = 33.78.
  2. Median = middle value in order = 37.
  3. Mode = most common = 37.
  4. Range = 58 − 10 = 48.
  5. Answer: Mean 33.78, median 37, mode 37, range 48

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.

AQA AQA-859.1 — Mapped statement covering Working with Introducing Range Common Errors.FBISE FBI-257.2 — Mapped statement covering Working with Introducing Range Common Errors.

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Frequently asked

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

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