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Free Grade 3 Mode in Context Common Errors Worksheets

Free Grade 3 worksheets 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

Foundation

Estimated time

35 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 10, 14, 17, 18, 19, find the mean, median, mode and range.[1]
  2. 2.For the data 7, 8, 9, 16, 17, find the mean, median, mode and range.[1]
  3. 3.For the data 5, 8, 9, 11, 20, find the mean, median, mode and range.[1]
  4. 4.For the data 1, 9, 19, 20, 20, find the mean, median, mode and range.[1]
  5. 5.For the data 10, 17, 21, 23, 29, 32, 39, find the mean, median, mode and range.[2]
  6. 6.For the data 13, 15, 22, 27, 33, 34, 35, find the mean, median, mode and range.[2]
  7. 7.For the data 6, 22, 22, 29, 31, 36, 36, find the mean, median, mode and range.[2]
  8. 8.For the data 2, 3, 8, 21, 23, 30, 37, find the mean, median, mode and range.[2]
  9. 9.For the data 3, 7, 12, 29, 35, 36, 40, 48, 50, find the mean, median, mode and range.[3]
  10. 10.For the data 2, 8, 17, 22, 25, 39, 42, 43, 52, find the mean, median, mode and range.[3]
  11. 11.For the data 4, 5, 6, 9, 13, 21, 28, 34, 39, find the mean, median, mode and range.[3]
  12. 12.For the data 2, 3, 10, 14, 22, 29, 43, 52, 55, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 15.6, median 17, mode none, range 9

    Mean = 78 ÷ 5 = 15.6. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 19 − 10 = 9.

  2. 2. Mean 11.4, median 9, mode none, range 10

    Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 17 − 7 = 10.

  3. 3. Mean 10.6, median 9, mode none, range 15

    Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 20 − 5 = 15.

  4. 4. Mean 13.8, median 19, mode 20, range 19

    Mean = 69 ÷ 5 = 13.8. Median = middle value in order = 19. Mode = most common = 20. Range = 20 − 1 = 19.

  5. 5. Mean 24.43, median 23, mode none, range 29

    Mean = 171 ÷ 7 = 24.43. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 39 − 10 = 29.

  6. 6. Mean 25.57, median 27, mode none, range 22

    Mean = 179 ÷ 7 = 25.57. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 35 − 13 = 22.

  7. 7. Mean 26, median 29, mode 22 and 36, range 30

    Mean = 182 ÷ 7 = 26. Median = middle value in order = 29. Mode = most common = 22 and 36. Range = 36 − 6 = 30.

  8. 8. Mean 17.71, median 21, mode none, range 35

    Mean = 124 ÷ 7 = 17.71. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 37 − 2 = 35.

  9. 9. Mean 28.89, median 35, mode none, range 47

    Mean = 260 ÷ 9 = 28.89. Median = middle value in order = 35. Mode = most common = no repeated value. Range = 50 − 3 = 47.

  10. 10. Mean 27.78, median 25, mode none, range 50

    Mean = 250 ÷ 9 = 27.78. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 52 − 2 = 50.

  11. 11. Mean 17.67, median 13, mode none, range 35

    Mean = 159 ÷ 9 = 17.67. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 39 − 4 = 35.

  12. 12. Mean 25.56, median 22, mode none, range 53

    Mean = 230 ÷ 9 = 25.56. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 55 − 2 = 53.

Worked examples

Easy example

For the data 3, 11, 12, 13, 18, find the mean, median, mode and range.

  1. Mean = 57 ÷ 5 = 11.4.
  2. Median = middle value in order = 12.
  3. Mode = most common = no repeated value.
  4. Range = 18 − 3 = 15.
  5. Answer: Mean 11.4, median 12, mode none, range 15
Medium example

For the data 1, 6, 7, 9, 17, 23, 37, find the mean, median, mode and range.

  1. Mean = 100 ÷ 7 = 14.29.
  2. Median = middle value in order = 9.
  3. Mode = most common = no repeated value.
  4. Range = 37 − 1 = 36.
  5. Answer: Mean 14.29, median 9, mode none, range 36
Hard example

For the data 11, 13, 19, 27, 30, 31, 34, 35, 36, find the mean, median, mode and range.

  1. Mean = 236 ÷ 9 = 26.22.
  2. Median = middle value in order = 30.
  3. Mode = most common = no repeated value.
  4. Range = 36 − 11 = 25.
  5. Answer: Mean 26.22, median 30, mode none, range 25

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 worksheet really free?
Yes. Every worksheets 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 worksheet 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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