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Free Grade 3 Working with Mode Lesson Plans

Free Grade 3 lesson plans for Working with 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

Core

Estimated time

30 min

Total marks

24

Learning objectives

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

  • UnderstandExplain working with mode

    Explain working with mode accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with mode

    Calculate working with mode accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with mode

    Compare working with mode accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify working with mode

    Justify working with 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.

Introducing Mode
Median

How Working with 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 8, 11, 15, 19, 19, find the mean, median, mode and range.[1]
  2. 2.For the data 5, 6, 10, 10, 14, find the mean, median, mode and range.[1]
  3. 3.For the data 3, 6, 8, 11, 17, find the mean, median, mode and range.[1]
  4. 4.For the data 1, 5, 9, 14, 16, find the mean, median, mode and range.[1]
  5. 5.For the data 6, 8, 14, 24, 30, 35, 38, find the mean, median, mode and range.[2]
  6. 6.For the data 12, 18, 28, 30, 31, 35, 37, find the mean, median, mode and range.[2]
  7. 7.For the data 8, 12, 20, 20, 27, 33, 36, find the mean, median, mode and range.[2]
  8. 8.For the data 5, 7, 8, 9, 10, 20, 20, find the mean, median, mode and range.[2]
  9. 9.For the data 4, 11, 13, 16, 20, 27, 29, 32, 36, find the mean, median, mode and range.[3]
  10. 10.For the data 2, 3, 5, 8, 17, 26, 26, 32, 48, find the mean, median, mode and range.[3]
  11. 11.For the data 7, 10, 23, 32, 32, 36, 44, 46, 52, find the mean, median, mode and range.[3]
  12. 12.For the data 5, 14, 15, 18, 21, 23, 24, 25, 40, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 14.4, median 15, mode 19, range 11

    Mean = 72 ÷ 5 = 14.4. Median = middle value in order = 15. Mode = most common = 19. Range = 19 − 8 = 11.

  2. 2. Mean 9, median 10, mode 10, range 9

    Mean = 45 ÷ 5 = 9. Median = middle value in order = 10. Mode = most common = 10. Range = 14 − 5 = 9.

  3. 3. Mean 9, median 8, mode none, range 14

    Mean = 45 ÷ 5 = 9. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 17 − 3 = 14.

  4. 4. Mean 9, median 9, mode none, range 15

    Mean = 45 ÷ 5 = 9. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 16 − 1 = 15.

  5. 5. Mean 22.14, median 24, mode none, range 32

    Mean = 155 ÷ 7 = 22.14. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 38 − 6 = 32.

  6. 6. Mean 27.29, median 30, mode none, range 25

    Mean = 191 ÷ 7 = 27.29. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 37 − 12 = 25.

  7. 7. Mean 22.29, median 20, mode 20, range 28

    Mean = 156 ÷ 7 = 22.29. Median = middle value in order = 20. Mode = most common = 20. Range = 36 − 8 = 28.

  8. 8. Mean 11.29, median 9, mode 20, range 15

    Mean = 79 ÷ 7 = 11.29. Median = middle value in order = 9. Mode = most common = 20. Range = 20 − 5 = 15.

  9. 9. Mean 20.89, median 20, mode none, range 32

    Mean = 188 ÷ 9 = 20.89. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 36 − 4 = 32.

  10. 10. Mean 18.56, median 17, mode 26, range 46

    Mean = 167 ÷ 9 = 18.56. Median = middle value in order = 17. Mode = most common = 26. Range = 48 − 2 = 46.

  11. 11. Mean 31.33, median 32, mode 32, range 45

    Mean = 282 ÷ 9 = 31.33. Median = middle value in order = 32. Mode = most common = 32. Range = 52 − 7 = 45.

  12. 12. Mean 20.56, median 21, mode none, range 35

    Mean = 185 ÷ 9 = 20.56. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 40 − 5 = 35.

Worked examples

Easy example

For the data 5, 6, 8, 9, 13, find the mean, median, mode and range.

  1. Mean = 41 ÷ 5 = 8.2.
  2. Median = middle value in order = 8.
  3. Mode = most common = no repeated value.
  4. Range = 13 − 5 = 8.
  5. Answer: Mean 8.2, median 8, mode none, range 8
Medium example

For the data 8, 11, 12, 13, 14, 25, 30, find the mean, median, mode and range.

  1. Mean = 113 ÷ 7 = 16.14.
  2. Median = middle value in order = 13.
  3. Mode = most common = no repeated value.
  4. Range = 30 − 8 = 22.
  5. Answer: Mean 16.14, median 13, mode none, range 22
Hard example

For the data 2, 4, 12, 25, 27, 33, 45, 46, 56, find the mean, median, mode and range.

  1. Mean = 250 ÷ 9 = 27.78.
  2. Median = middle value in order = 27.
  3. Mode = most common = no repeated value.
  4. Range = 56 − 2 = 54.
  5. Answer: Mean 27.78, median 27, mode none, range 54

Interactive practice

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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.

NATIONAL-CURRICULUM NAT-167.1 — Mapped statement covering Working with Mode.IB IB-556.2 — Mapped statement covering Working with Mode.

Every free resource for Working with Mode

One concept, one ecosystem — all of it free.

Free Working with Mode worksheets
Free Working with Mode quizzes
Free Working with Mode flashcards
Free Working with Mode lessons

Goes deeper

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

Working with Mode Essentials
Working with Mode Techniques
Working with Mode Word Problems
Working with Mode Common Errors

Sibling concepts

Introducing Mode
Mode in Context

Related concepts

Lateral links, including across subjects.

Introducing Mode
Mode in Context
Averages from Tables

Next topics

Mode in Context
Mean
Median
Range

All free formats for this concept

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Frequently asked

Is this Grade 3 Working with Mode lesson plan really free?
Yes. Every lesson plans 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 Introducing Mode, Median. Each one has its own free lesson, worksheet and quiz.
How is the lesson plan 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 Mode?
Move on to Mode in Context, Mean, Median, Range, which build directly on this idea.

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