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Free Grade 3 Working with Working with Range Common Errors Quizzes

Free Grade 3 quizzes for Working with Working with 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

Core

Estimated time

35 min

Total marks

24

Learning objectives

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

  • RememberIdentify working with working with range common errors

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

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with working with range common errors

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

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with working with range common errors

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

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with working with range common errors

    Compare working with working with 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 Working with 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, 10, 11, 11, 17, find the mean, median, mode and range.[1]
  2. 2.For the data 4, 10, 18, 19, 20, find the mean, median, mode and range.[1]
  3. 3.For the data 2, 2, 6, 6, 8, find the mean, median, mode and range.[1]
  4. 4.For the data 7, 7, 10, 12, 12, find the mean, median, mode and range.[1]
  5. 5.For the data 18, 23, 28, 29, 33, 36, 37, find the mean, median, mode and range.[2]
  6. 6.For the data 6, 8, 12, 15, 18, 32, 35, find the mean, median, mode and range.[2]
  7. 7.For the data 1, 5, 21, 27, 30, 32, 35, find the mean, median, mode and range.[2]
  8. 8.For the data 3, 6, 13, 31, 32, 36, 39, find the mean, median, mode and range.[2]
  9. 9.For the data 2, 4, 9, 17, 37, 41, 42, 45, 51, find the mean, median, mode and range.[3]
  10. 10.For the data 9, 10, 13, 22, 24, 31, 39, 50, 54, find the mean, median, mode and range.[3]
  11. 11.For the data 19, 24, 31, 31, 31, 37, 49, 55, 58, find the mean, median, mode and range.[3]
  12. 12.For the data 14, 17, 22, 24, 36, 38, 49, 55, 59, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 10, median 11, mode 11, range 16

    Mean = 50 ÷ 5 = 10. Median = middle value in order = 11. Mode = most common = 11. Range = 17 − 1 = 16.

  2. 2. Mean 14.2, median 18, mode none, range 16

    Mean = 71 ÷ 5 = 14.2. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 20 − 4 = 16.

  3. 3. Mean 4.8, median 6, mode 2 and 6, range 6

    Mean = 24 ÷ 5 = 4.8. Median = middle value in order = 6. Mode = most common = 2 and 6. Range = 8 − 2 = 6.

  4. 4. Mean 9.6, median 10, mode 7 and 12, range 5

    Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 10. Mode = most common = 7 and 12. Range = 12 − 7 = 5.

  5. 5. Mean 29.14, median 29, mode none, range 19

    Mean = 204 ÷ 7 = 29.14. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 37 − 18 = 19.

  6. 6. Mean 18, median 15, mode none, range 29

    Mean = 126 ÷ 7 = 18. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 35 − 6 = 29.

  7. 7. Mean 21.57, median 27, mode none, range 34

    Mean = 151 ÷ 7 = 21.57. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 35 − 1 = 34.

  8. 8. Mean 22.86, median 31, mode none, range 36

    Mean = 160 ÷ 7 = 22.86. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 39 − 3 = 36.

  9. 9. Mean 27.56, median 37, mode none, range 49

    Mean = 248 ÷ 9 = 27.56. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 51 − 2 = 49.

  10. 10. Mean 28, median 24, mode none, range 45

    Mean = 252 ÷ 9 = 28. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 54 − 9 = 45.

  11. 11. Mean 37.22, median 31, mode 31, range 39

    Mean = 335 ÷ 9 = 37.22. Median = middle value in order = 31. Mode = most common = 31. Range = 58 − 19 = 39.

  12. 12. Mean 34.89, median 36, mode none, range 45

    Mean = 314 ÷ 9 = 34.89. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 59 − 14 = 45.

Worked examples

Easy example

For the data 5, 6, 7, 11, 13, find the mean, median, mode and range.

  1. Mean = 42 ÷ 5 = 8.4.
  2. Median = middle value in order = 7.
  3. Mode = most common = no repeated value.
  4. Range = 13 − 5 = 8.
  5. Answer: Mean 8.4, median 7, mode none, range 8
Medium example

For the data 3, 15, 23, 24, 26, 30, 38, find the mean, median, mode and range.

  1. Mean = 159 ÷ 7 = 22.71.
  2. Median = middle value in order = 24.
  3. Mode = most common = no repeated value.
  4. Range = 38 − 3 = 35.
  5. Answer: Mean 22.71, median 24, mode none, range 35
Hard example

For the data 5, 8, 15, 17, 26, 27, 36, 44, 47, find the mean, median, mode and range.

  1. Mean = 225 ÷ 9 = 25.
  2. Median = middle value in order = 26.
  3. Mode = most common = no repeated value.
  4. Range = 47 − 5 = 42.
  5. Answer: Mean 25, median 26, mode none, range 42

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-145.1 — Mapped statement covering Working with Working with Range Common Errors.FBISE FBI-711.2 — Mapped statement covering Working with Working with Range Common Errors.

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Frequently asked

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

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