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Free Grade 3 Mode Lessons

Free Grade 3 lessons for 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

Higher

Estimated time

20 min

Total marks

24

Learning objectives

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

  • RememberIdentify mode

    Identify mode accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain mode

    Explain mode accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate mode

    Calculate mode accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare mode

    Compare 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
Mean
Measurement

How 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 4, 4, 5, 15, 20, find the mean, median, mode and range.[1]
  2. 2.For the data 6, 7, 9, 15, 19, find the mean, median, mode and range.[1]
  3. 3.For the data 4, 6, 6, 11, 13, find the mean, median, mode and range.[1]
  4. 4.For the data 4, 5, 5, 12, 15, find the mean, median, mode and range.[1]
  5. 5.For the data 8, 11, 20, 20, 30, 34, 40, find the mean, median, mode and range.[2]
  6. 6.For the data 8, 8, 10, 10, 12, 14, 31, find the mean, median, mode and range.[2]
  7. 7.For the data 1, 15, 17, 20, 36, 37, 38, find the mean, median, mode and range.[2]
  8. 8.For the data 4, 23, 25, 26, 29, 35, 37, find the mean, median, mode and range.[2]
  9. 9.For the data 7, 30, 34, 35, 45, 45, 45, 51, 55, find the mean, median, mode and range.[3]
  10. 10.For the data 9, 21, 34, 44, 46, 49, 50, 50, 60, find the mean, median, mode and range.[3]
  11. 11.For the data 1, 6, 15, 16, 32, 42, 49, 57, 57, find the mean, median, mode and range.[3]
  12. 12.For the data 10, 13, 22, 22, 25, 28, 30, 46, 58, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 9.6, median 5, mode 4, range 16

    Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 5. Mode = most common = 4. Range = 20 − 4 = 16.

  2. 2. Mean 11.2, median 9, mode none, range 13

    Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 19 − 6 = 13.

  3. 3. Mean 8, median 6, mode 6, range 9

    Mean = 40 ÷ 5 = 8. Median = middle value in order = 6. Mode = most common = 6. Range = 13 − 4 = 9.

  4. 4. Mean 8.2, median 5, mode 5, range 11

    Mean = 41 ÷ 5 = 8.2. Median = middle value in order = 5. Mode = most common = 5. Range = 15 − 4 = 11.

  5. 5. Mean 23.29, median 20, mode 20, range 32

    Mean = 163 ÷ 7 = 23.29. Median = middle value in order = 20. Mode = most common = 20. Range = 40 − 8 = 32.

  6. 6. Mean 13.29, median 10, mode 8 and 10, range 23

    Mean = 93 ÷ 7 = 13.29. Median = middle value in order = 10. Mode = most common = 8 and 10. Range = 31 − 8 = 23.

  7. 7. Mean 23.43, median 20, mode none, range 37

    Mean = 164 ÷ 7 = 23.43. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 38 − 1 = 37.

  8. 8. Mean 25.57, median 26, mode none, range 33

    Mean = 179 ÷ 7 = 25.57. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 37 − 4 = 33.

  9. 9. Mean 38.56, median 45, mode 45, range 48

    Mean = 347 ÷ 9 = 38.56. Median = middle value in order = 45. Mode = most common = 45. Range = 55 − 7 = 48.

  10. 10. Mean 40.33, median 46, mode 50, range 51

    Mean = 363 ÷ 9 = 40.33. Median = middle value in order = 46. Mode = most common = 50. Range = 60 − 9 = 51.

  11. 11. Mean 30.56, median 32, mode 57, range 56

    Mean = 275 ÷ 9 = 30.56. Median = middle value in order = 32. Mode = most common = 57. Range = 57 − 1 = 56.

  12. 12. Mean 28.22, median 25, mode 22, range 48

    Mean = 254 ÷ 9 = 28.22. Median = middle value in order = 25. Mode = most common = 22. Range = 58 − 10 = 48.

Worked examples

Easy example

For the data 2, 5, 8, 9, 9, find the mean, median, mode and range.

  1. Mean = 33 ÷ 5 = 6.6.
  2. Median = middle value in order = 8.
  3. Mode = most common = 9.
  4. Range = 9 − 2 = 7.
  5. Answer: Mean 6.6, median 8, mode 9, range 7
Medium example

For the data 10, 14, 15, 19, 21, 24, 26, find the mean, median, mode and range.

  1. Mean = 129 ÷ 7 = 18.43.
  2. Median = middle value in order = 19.
  3. Mode = most common = no repeated value.
  4. Range = 26 − 10 = 16.
  5. Answer: Mean 18.43, median 19, mode none, range 16
Hard example

For the data 2, 4, 9, 20, 28, 44, 46, 54, 56, find the mean, median, mode and range.

  1. Mean = 263 ÷ 9 = 29.22.
  2. Median = middle value in order = 28.
  3. Mode = most common = no repeated value.
  4. Range = 56 − 2 = 54.
  5. Answer: Mean 29.22, median 28, mode none, range 54

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.

IB IB-535.1 — Mapped statement covering Mode.EDEXCEL EDE-490.2 — Mapped statement covering Mode.

Every free resource for Mode

One concept, one ecosystem — all of it free.

Free Mode worksheets
Free Mode quizzes
Free Mode flashcards
Free Mode lesson plans

Goes deeper

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

Introducing Mode
Working with Mode
Mode in Context

Sibling concepts

Mean
Median
Range
Averages from Tables

Related concepts

Lateral links, including across subjects.

Mean
Median
Range
Averages from Tables
Data Presentation

Next topics

Range
Averages from Tables
Data Presentation
Data Collection

All free formats for this concept

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

Frequently asked

Is this Grade 3 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 Median, Mean, Measurement. 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 Mode?
Move on to Range, Averages from Tables, Data Presentation, Data Collection, which build directly on this idea.

Related resources

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