FreeMathWorksheet
Free · Grade 3 · Lessons

Free Grade 3 Working with Mode Lessons

Free Grade 3 lessons 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

Stretch

Estimated time

35 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 5, 5, 6, 12, 17, find the mean, median, mode and range.[1]
  2. 2.For the data 8, 9, 16, 17, 18, find the mean, median, mode and range.[1]
  3. 3.For the data 2, 5, 7, 11, 20, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 3, 7, 12, 19, find the mean, median, mode and range.[1]
  5. 5.For the data 3, 8, 8, 9, 9, 28, 34, find the mean, median, mode and range.[2]
  6. 6.For the data 1, 9, 11, 13, 14, 22, 37, find the mean, median, mode and range.[2]
  7. 7.For the data 14, 16, 21, 25, 30, 33, 36, find the mean, median, mode and range.[2]
  8. 8.For the data 11, 12, 17, 22, 22, 27, 34, find the mean, median, mode and range.[2]
  9. 9.For the data 13, 20, 22, 32, 37, 42, 50, 53, 59, find the mean, median, mode and range.[3]
  10. 10.For the data 3, 6, 14, 15, 25, 40, 43, 47, 60, find the mean, median, mode and range.[3]
  11. 11.For the data 1, 14, 14, 19, 26, 30, 31, 46, 52, find the mean, median, mode and range.[3]
  12. 12.For the data 5, 15, 24, 26, 30, 39, 41, 43, 46, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 9, median 6, mode 5, range 12

    Mean = 45 ÷ 5 = 9. Median = middle value in order = 6. Mode = most common = 5. Range = 17 − 5 = 12.

  2. 2. Mean 13.6, median 16, mode none, range 10

    Mean = 68 ÷ 5 = 13.6. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 18 − 8 = 10.

  3. 3. Mean 9, median 7, mode none, range 18

    Mean = 45 ÷ 5 = 9. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 20 − 2 = 18.

  4. 4. Mean 8.6, median 7, mode none, range 17

    Mean = 43 ÷ 5 = 8.6. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 19 − 2 = 17.

  5. 5. Mean 14.14, median 9, mode 8 and 9, range 31

    Mean = 99 ÷ 7 = 14.14. Median = middle value in order = 9. Mode = most common = 8 and 9. Range = 34 − 3 = 31.

  6. 6. Mean 15.29, median 13, mode none, range 36

    Mean = 107 ÷ 7 = 15.29. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 37 − 1 = 36.

  7. 7. Mean 25, median 25, mode none, range 22

    Mean = 175 ÷ 7 = 25. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 36 − 14 = 22.

  8. 8. Mean 20.71, median 22, mode 22, range 23

    Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 22. Mode = most common = 22. Range = 34 − 11 = 23.

  9. 9. Mean 36.44, median 37, mode none, range 46

    Mean = 328 ÷ 9 = 36.44. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 59 − 13 = 46.

  10. 10. Mean 28.11, median 25, mode none, range 57

    Mean = 253 ÷ 9 = 28.11. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 60 − 3 = 57.

  11. 11. Mean 25.89, median 26, mode 14, range 51

    Mean = 233 ÷ 9 = 25.89. Median = middle value in order = 26. Mode = most common = 14. Range = 52 − 1 = 51.

  12. 12. Mean 29.89, median 30, mode none, range 41

    Mean = 269 ÷ 9 = 29.89. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 46 − 5 = 41.

Worked examples

Easy example

For the data 9, 12, 13, 13, 19, find the mean, median, mode and range.

  1. Mean = 66 ÷ 5 = 13.2.
  2. Median = middle value in order = 13.
  3. Mode = most common = 13.
  4. Range = 19 − 9 = 10.
  5. Answer: Mean 13.2, median 13, mode 13, range 10
Medium example

For the data 4, 10, 15, 32, 33, 36, 38, find the mean, median, mode and range.

  1. Mean = 168 ÷ 7 = 24.
  2. Median = middle value in order = 32.
  3. Mode = most common = no repeated value.
  4. Range = 38 − 4 = 34.
  5. Answer: Mean 24, median 32, mode none, range 34
Hard example

For the data 1, 25, 27, 28, 35, 39, 40, 45, 47, find the mean, median, mode and range.

  1. Mean = 287 ÷ 9 = 31.89.
  2. Median = middle value in order = 35.
  3. Mode = most common = no repeated value.
  4. Range = 47 − 1 = 46.
  5. Answer: Mean 31.89, median 35, mode none, range 46

Interactive practice

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

Open the free lessonDownload printable packPractise with the AI Tutor

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 lesson plans

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

Every kind below is a real page, generated from this entity.

Frequently asked

Is this Grade 3 Working with Mode lesson really free?
Yes. Every lessons 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 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.

Related resources

Free AI Tutor

Stuck on Working with Mode? The AI Tutor already knows this page, its prerequisites and its common mistakes.

Open the free AI Tutor