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Free Grade 3 Mode in Context Common Errors Quizzes

Free Grade 3 quizzes for Mode in Context 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

15 min

Total marks

24

Learning objectives

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

  • RememberIdentify mode in context common errors

    Identify mode in context common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain mode in context common errors

    Explain mode in context common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate mode in context common errors

    Calculate mode in context common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare mode in context common errors

    Compare mode in context 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 Mode in Context 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, 7, 9, 17, 19, find the mean, median, mode and range.[1]
  2. 2.For the data 4, 4, 4, 8, 12, find the mean, median, mode and range.[1]
  3. 3.For the data 2, 3, 5, 13, 16, find the mean, median, mode and range.[1]
  4. 4.For the data 1, 1, 1, 15, 20, find the mean, median, mode and range.[1]
  5. 5.For the data 3, 3, 18, 22, 26, 34, 37, find the mean, median, mode and range.[2]
  6. 6.For the data 12, 14, 14, 14, 18, 19, 37, find the mean, median, mode and range.[2]
  7. 7.For the data 8, 14, 17, 21, 23, 27, 37, find the mean, median, mode and range.[2]
  8. 8.For the data 12, 16, 16, 22, 22, 23, 28, find the mean, median, mode and range.[2]
  9. 9.For the data 7, 8, 23, 35, 37, 43, 45, 52, 53, find the mean, median, mode and range.[3]
  10. 10.For the data 2, 2, 3, 22, 41, 53, 58, 60, 60, find the mean, median, mode and range.[3]
  11. 11.For the data 13, 14, 17, 23, 23, 28, 55, 57, 58, find the mean, median, mode and range.[3]
  12. 12.For the data 11, 26, 43, 46, 48, 48, 53, 55, 60, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 10.6, median 9, mode none, range 18

    Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 19 − 1 = 18.

  2. 2. Mean 6.4, median 4, mode 4, range 8

    Mean = 32 ÷ 5 = 6.4. Median = middle value in order = 4. Mode = most common = 4. Range = 12 − 4 = 8.

  3. 3. Mean 7.8, median 5, mode none, range 14

    Mean = 39 ÷ 5 = 7.8. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 16 − 2 = 14.

  4. 4. Mean 7.6, median 1, mode 1, range 19

    Mean = 38 ÷ 5 = 7.6. Median = middle value in order = 1. Mode = most common = 1. Range = 20 − 1 = 19.

  5. 5. Mean 20.43, median 22, mode 3, range 34

    Mean = 143 ÷ 7 = 20.43. Median = middle value in order = 22. Mode = most common = 3. Range = 37 − 3 = 34.

  6. 6. Mean 18.29, median 14, mode 14, range 25

    Mean = 128 ÷ 7 = 18.29. Median = middle value in order = 14. Mode = most common = 14. Range = 37 − 12 = 25.

  7. 7. Mean 21, median 21, mode none, range 29

    Mean = 147 ÷ 7 = 21. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 37 − 8 = 29.

  8. 8. Mean 19.86, median 22, mode 16 and 22, range 16

    Mean = 139 ÷ 7 = 19.86. Median = middle value in order = 22. Mode = most common = 16 and 22. Range = 28 − 12 = 16.

  9. 9. Mean 33.67, median 37, mode none, range 46

    Mean = 303 ÷ 9 = 33.67. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 53 − 7 = 46.

  10. 10. Mean 33.44, median 41, mode 2 and 60, range 58

    Mean = 301 ÷ 9 = 33.44. Median = middle value in order = 41. Mode = most common = 2 and 60. Range = 60 − 2 = 58.

  11. 11. Mean 32, median 23, mode 23, range 45

    Mean = 288 ÷ 9 = 32. Median = middle value in order = 23. Mode = most common = 23. Range = 58 − 13 = 45.

  12. 12. Mean 43.33, median 48, mode 48, range 49

    Mean = 390 ÷ 9 = 43.33. Median = middle value in order = 48. Mode = most common = 48. Range = 60 − 11 = 49.

Worked examples

Easy example

For the data 5, 7, 13, 14, 18, find the mean, median, mode and range.

  1. Mean = 57 ÷ 5 = 11.4.
  2. Median = middle value in order = 13.
  3. Mode = most common = no repeated value.
  4. Range = 18 − 5 = 13.
  5. Answer: Mean 11.4, median 13, mode none, range 13
Medium example

For the data 14, 14, 15, 15, 16, 20, 38, find the mean, median, mode and range.

  1. Mean = 132 ÷ 7 = 18.86.
  2. Median = middle value in order = 15.
  3. Mode = most common = 14 and 15.
  4. Range = 38 − 14 = 24.
  5. Answer: Mean 18.86, median 15, mode 14 and 15, range 24
Hard example

For the data 9, 15, 19, 27, 32, 37, 37, 59, 60, find the mean, median, mode and range.

  1. Mean = 295 ÷ 9 = 32.78.
  2. Median = middle value in order = 32.
  3. Mode = most common = 37.
  4. Range = 60 − 9 = 51.
  5. Answer: Mean 32.78, median 32, mode 37, range 51

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.

CAMBRIDGE CAM-954.1 — Mapped statement covering Mode in Context Common Errors.NATIONAL-CURRICULUM NAT-702.2 — Mapped statement covering Mode in Context Common Errors.

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Frequently asked

Is this Grade 3 Mode in Context Common Errors quiz really free?
Yes. Every quizzes 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 Mode in Context Word Problems, Mode in Context Techniques, Working with 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 Mode in Context Common Errors?
Move on to Introducing Mode, Working with Mode, which build directly on this idea.

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