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Free Grade 3 Introducing Mode Worksheets

Free Grade 3 worksheets for Introducing Mode: 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

30 min

Total marks

24

Learning objectives

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

  • UnderstandExplain introducing mode

    Explain introducing mode accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing mode

    Calculate introducing mode accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing mode

    Compare introducing mode accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify introducing mode

    Justify introducing mode 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.

Median

How Introducing Mode 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 5, 6, 7, 8, 12, find the mean, median, mode and range.[1]
  2. 2.For the data 13, 17, 18, 18, 19, find the mean, median, mode and range.[1]
  3. 3.For the data 6, 7, 9, 12, 19, find the mean, median, mode and range.[1]
  4. 4.For the data 9, 15, 17, 17, 19, find the mean, median, mode and range.[1]
  5. 5.For the data 3, 6, 7, 13, 28, 36, 40, find the mean, median, mode and range.[2]
  6. 6.For the data 5, 6, 6, 6, 10, 18, 28, find the mean, median, mode and range.[2]
  7. 7.For the data 5, 6, 11, 15, 17, 33, 35, find the mean, median, mode and range.[2]
  8. 8.For the data 12, 30, 30, 35, 37, 40, 40, find the mean, median, mode and range.[2]
  9. 9.For the data 15, 15, 17, 21, 27, 27, 36, 48, 49, find the mean, median, mode and range.[3]
  10. 10.For the data 5, 9, 13, 14, 21, 47, 49, 56, 57, find the mean, median, mode and range.[3]
  11. 11.For the data 2, 2, 12, 15, 28, 33, 46, 48, 55, find the mean, median, mode and range.[3]
  12. 12.For the data 2, 13, 21, 24, 27, 48, 48, 49, 58, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 7.6, median 7, mode none, range 7

    Mean = 38 ÷ 5 = 7.6. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 12 − 5 = 7.

  2. 2. Mean 17, median 18, mode 18, range 6

    Mean = 85 ÷ 5 = 17. Median = middle value in order = 18. Mode = most common = 18. Range = 19 − 13 = 6.

  3. 3. Mean 10.6, median 9, mode none, range 13

    Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 19 − 6 = 13.

  4. 4. Mean 15.4, median 17, mode 17, range 10

    Mean = 77 ÷ 5 = 15.4. Median = middle value in order = 17. Mode = most common = 17. Range = 19 − 9 = 10.

  5. 5. Mean 19, median 13, mode none, range 37

    Mean = 133 ÷ 7 = 19. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 40 − 3 = 37.

  6. 6. Mean 11.29, median 6, mode 6, range 23

    Mean = 79 ÷ 7 = 11.29. Median = middle value in order = 6. Mode = most common = 6. Range = 28 − 5 = 23.

  7. 7. Mean 17.43, median 15, mode none, range 30

    Mean = 122 ÷ 7 = 17.43. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 35 − 5 = 30.

  8. 8. Mean 32, median 35, mode 30 and 40, range 28

    Mean = 224 ÷ 7 = 32. Median = middle value in order = 35. Mode = most common = 30 and 40. Range = 40 − 12 = 28.

  9. 9. Mean 28.33, median 27, mode 15 and 27, range 34

    Mean = 255 ÷ 9 = 28.33. Median = middle value in order = 27. Mode = most common = 15 and 27. Range = 49 − 15 = 34.

  10. 10. Mean 30.11, median 21, mode none, range 52

    Mean = 271 ÷ 9 = 30.11. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 57 − 5 = 52.

  11. 11. Mean 26.78, median 28, mode 2, range 53

    Mean = 241 ÷ 9 = 26.78. Median = middle value in order = 28. Mode = most common = 2. Range = 55 − 2 = 53.

  12. 12. Mean 32.22, median 27, mode 48, range 56

    Mean = 290 ÷ 9 = 32.22. Median = middle value in order = 27. Mode = most common = 48. Range = 58 − 2 = 56.

Worked examples

Easy example

For the data 5, 9, 11, 11, 20, find the mean, median, mode and range.

  1. Mean = 56 ÷ 5 = 11.2.
  2. Median = middle value in order = 11.
  3. Mode = most common = 11.
  4. Range = 20 − 5 = 15.
  5. Answer: Mean 11.2, median 11, mode 11, range 15
Medium example

For the data 9, 16, 22, 25, 32, 32, 33, find the mean, median, mode and range.

  1. Mean = 169 ÷ 7 = 24.14.
  2. Median = middle value in order = 25.
  3. Mode = most common = 32.
  4. Range = 33 − 9 = 24.
  5. Answer: Mean 24.14, median 25, mode 32, range 24
Hard example

For the data 4, 5, 7, 11, 18, 19, 20, 25, 47, find the mean, median, mode and range.

  1. Mean = 156 ÷ 9 = 17.33.
  2. Median = middle value in order = 18.
  3. Mode = most common = no repeated value.
  4. Range = 47 − 4 = 43.
  5. Answer: Mean 17.33, median 18, mode none, range 43

Interactive practice

Free, no account required — answer on screen or print it.

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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.

OCR OCR-721.1 — Mapped statement covering Introducing Mode.CAMBRIDGE CAM-923.2 — Mapped statement covering Introducing Mode.

Every free resource for Introducing Mode

One concept, one ecosystem — all of it free.

Free Introducing Mode quizzes
Free Introducing Mode flashcards
Free Introducing Mode lessons
Free Introducing Mode lesson plans

Goes deeper

The entities below this one, each with the same complete free resource set.

Introducing Mode Essentials
Introducing Mode Techniques
Introducing Mode Word Problems
Introducing Mode Common Errors

Sibling concepts

Working with Mode
Mode in Context

Related concepts

Lateral links, including across subjects.

Working with Mode
Mode in Context
Median

Next topics

Working with Mode
Mode in Context
Mean
Median

All free formats for this concept

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Frequently asked

Is this Grade 3 Introducing Mode 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 Median. 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 Introducing Mode?
Move on to Working with Mode, Mode in Context, Mean, Median, which build directly on this idea.

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