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Free Grade 3 Mode in Context Lessons

Free Grade 3 lessons for Mode in Context: 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

25 min

Total marks

24

Learning objectives

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

  • RememberIdentify mode in context

    Identify mode in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain mode in context

    Explain mode in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate mode in context

    Calculate mode in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare mode in context

    Compare mode in context 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.

Working with Mode
Introducing Mode
Median

How Mode in Context 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 3, 3, 6, 11, 14, find the mean, median, mode and range.[1]
  2. 2.For the data 1, 2, 9, 14, 15, find the mean, median, mode and range.[1]
  3. 3.For the data 5, 8, 9, 11, 13, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 6, 7, 7, 8, find the mean, median, mode and range.[1]
  5. 5.For the data 3, 7, 12, 13, 16, 28, 34, find the mean, median, mode and range.[2]
  6. 6.For the data 1, 3, 18, 20, 24, 28, 37, find the mean, median, mode and range.[2]
  7. 7.For the data 1, 1, 7, 17, 24, 30, 39, find the mean, median, mode and range.[2]
  8. 8.For the data 4, 5, 9, 18, 28, 36, 36, find the mean, median, mode and range.[2]
  9. 9.For the data 11, 13, 25, 29, 42, 45, 52, 53, 60, find the mean, median, mode and range.[3]
  10. 10.For the data 3, 5, 11, 16, 37, 38, 52, 52, 59, find the mean, median, mode and range.[3]
  11. 11.For the data 3, 5, 9, 11, 26, 35, 51, 52, 60, find the mean, median, mode and range.[3]
  12. 12.For the data 3, 14, 23, 28, 34, 39, 41, 51, 54, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 7.4, median 6, mode 3, range 11

    Mean = 37 ÷ 5 = 7.4. Median = middle value in order = 6. Mode = most common = 3. Range = 14 − 3 = 11.

  2. 2. Mean 8.2, median 9, mode none, range 14

    Mean = 41 ÷ 5 = 8.2. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 15 − 1 = 14.

  3. 3. Mean 9.2, median 9, mode none, range 8

    Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 13 − 5 = 8.

  4. 4. Mean 6, median 7, mode 7, range 6

    Mean = 30 ÷ 5 = 6. Median = middle value in order = 7. Mode = most common = 7. Range = 8 − 2 = 6.

  5. 5. Mean 16.14, median 13, mode none, range 31

    Mean = 113 ÷ 7 = 16.14. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 34 − 3 = 31.

  6. 6. Mean 18.71, median 20, mode none, range 36

    Mean = 131 ÷ 7 = 18.71. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 37 − 1 = 36.

  7. 7. Mean 17, median 17, mode 1, range 38

    Mean = 119 ÷ 7 = 17. Median = middle value in order = 17. Mode = most common = 1. Range = 39 − 1 = 38.

  8. 8. Mean 19.43, median 18, mode 36, range 32

    Mean = 136 ÷ 7 = 19.43. Median = middle value in order = 18. Mode = most common = 36. Range = 36 − 4 = 32.

  9. 9. Mean 36.67, median 42, mode none, range 49

    Mean = 330 ÷ 9 = 36.67. Median = middle value in order = 42. Mode = most common = no repeated value. Range = 60 − 11 = 49.

  10. 10. Mean 30.33, median 37, mode 52, range 56

    Mean = 273 ÷ 9 = 30.33. Median = middle value in order = 37. Mode = most common = 52. Range = 59 − 3 = 56.

  11. 11. Mean 28, median 26, mode none, range 57

    Mean = 252 ÷ 9 = 28. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 60 − 3 = 57.

  12. 12. Mean 31.89, median 34, mode none, range 51

    Mean = 287 ÷ 9 = 31.89. Median = middle value in order = 34. Mode = most common = no repeated value. Range = 54 − 3 = 51.

Worked examples

Easy example

For the data 3, 7, 10, 11, 15, find the mean, median, mode and range.

  1. Mean = 46 ÷ 5 = 9.2.
  2. Median = middle value in order = 10.
  3. Mode = most common = no repeated value.
  4. Range = 15 − 3 = 12.
  5. Answer: Mean 9.2, median 10, mode none, range 12
Medium example

For the data 27, 28, 28, 33, 33, 33, 35, find the mean, median, mode and range.

  1. Mean = 217 ÷ 7 = 31.
  2. Median = middle value in order = 33.
  3. Mode = most common = 33.
  4. Range = 35 − 27 = 8.
  5. Answer: Mean 31, median 33, mode 33, range 8
Hard example

For the data 3, 7, 8, 15, 26, 38, 42, 46, 53, find the mean, median, mode and range.

  1. Mean = 238 ÷ 9 = 26.44.
  2. Median = middle value in order = 26.
  3. Mode = most common = no repeated value.
  4. Range = 53 − 3 = 50.
  5. Answer: Mean 26.44, median 26, mode none, range 50

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.

AQA AQA-537.1 — Mapped statement covering Mode in Context.FBISE FBI-861.2 — Mapped statement covering Mode in Context.

Every free resource for Mode in Context

One concept, one ecosystem — all of it free.

Free Mode in Context worksheets
Free Mode in Context quizzes
Free Mode in Context flashcards
Free Mode in Context lesson plans

Goes deeper

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

Mode in Context Essentials
Mode in Context Techniques
Mode in Context Word Problems
Mode in Context Common Errors

Sibling concepts

Introducing Mode
Working with Mode

Related concepts

Lateral links, including across subjects.

Introducing Mode
Working with Mode
Range

Next topics

Mean
Median
Range
Averages from Tables

All free formats for this concept

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

Frequently asked

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

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