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Free Grade 3 Introducing Mode Essentials Lesson Plans

Free Grade 3 lesson plans for Introducing Mode Essentials: 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

35 min

Total marks

24

Learning objectives

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

  • RememberIdentify introducing mode essentials

    Identify introducing mode essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing mode essentials

    Explain introducing mode essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing mode essentials

    Calculate introducing mode essentials accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing mode essentials

    Compare introducing mode essentials 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.

How Introducing Mode Essentials 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 1, 5, 11, 11, 13, find the mean, median, mode and range.[1]
  2. 2.For the data 3, 6, 6, 11, 15, find the mean, median, mode and range.[1]
  3. 3.For the data 6, 8, 13, 16, 17, find the mean, median, mode and range.[1]
  4. 4.For the data 3, 4, 6, 12, 14, find the mean, median, mode and range.[1]
  5. 5.For the data 4, 12, 13, 14, 26, 29, 36, find the mean, median, mode and range.[2]
  6. 6.For the data 10, 12, 19, 24, 26, 28, 40, find the mean, median, mode and range.[2]
  7. 7.For the data 2, 3, 18, 23, 23, 24, 26, find the mean, median, mode and range.[2]
  8. 8.For the data 3, 7, 17, 21, 26, 27, 34, find the mean, median, mode and range.[2]
  9. 9.For the data 18, 19, 23, 28, 30, 30, 35, 47, 54, find the mean, median, mode and range.[3]
  10. 10.For the data 20, 22, 23, 24, 25, 28, 30, 39, 49, find the mean, median, mode and range.[3]
  11. 11.For the data 3, 11, 27, 33, 38, 47, 47, 50, 53, find the mean, median, mode and range.[3]
  12. 12.For the data 5, 6, 11, 16, 16, 23, 36, 39, 59, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 8.2, median 11, mode 11, range 12

    Mean = 41 ÷ 5 = 8.2. Median = middle value in order = 11. Mode = most common = 11. Range = 13 − 1 = 12.

  2. 2. Mean 8.2, median 6, mode 6, range 12

    Mean = 41 ÷ 5 = 8.2. Median = middle value in order = 6. Mode = most common = 6. Range = 15 − 3 = 12.

  3. 3. Mean 12, median 13, mode none, range 11

    Mean = 60 ÷ 5 = 12. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 17 − 6 = 11.

  4. 4. Mean 7.8, median 6, mode none, range 11

    Mean = 39 ÷ 5 = 7.8. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 14 − 3 = 11.

  5. 5. Mean 19.14, median 14, mode none, range 32

    Mean = 134 ÷ 7 = 19.14. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 36 − 4 = 32.

  6. 6. Mean 22.71, median 24, mode none, range 30

    Mean = 159 ÷ 7 = 22.71. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 40 − 10 = 30.

  7. 7. Mean 17, median 23, mode 23, range 24

    Mean = 119 ÷ 7 = 17. Median = middle value in order = 23. Mode = most common = 23. Range = 26 − 2 = 24.

  8. 8. Mean 19.29, median 21, mode none, range 31

    Mean = 135 ÷ 7 = 19.29. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 34 − 3 = 31.

  9. 9. Mean 31.56, median 30, mode 30, range 36

    Mean = 284 ÷ 9 = 31.56. Median = middle value in order = 30. Mode = most common = 30. Range = 54 − 18 = 36.

  10. 10. Mean 28.89, median 25, mode none, range 29

    Mean = 260 ÷ 9 = 28.89. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 49 − 20 = 29.

  11. 11. Mean 34.33, median 38, mode 47, range 50

    Mean = 309 ÷ 9 = 34.33. Median = middle value in order = 38. Mode = most common = 47. Range = 53 − 3 = 50.

  12. 12. Mean 23.44, median 16, mode 16, range 54

    Mean = 211 ÷ 9 = 23.44. Median = middle value in order = 16. Mode = most common = 16. Range = 59 − 5 = 54.

Worked examples

Easy example

For the data 7, 8, 10, 14, 15, find the mean, median, mode and range.

  1. Mean = 54 ÷ 5 = 10.8.
  2. Median = middle value in order = 10.
  3. Mode = most common = no repeated value.
  4. Range = 15 − 7 = 8.
  5. Answer: Mean 10.8, median 10, mode none, range 8
Medium example

For the data 1, 3, 17, 22, 24, 29, 37, find the mean, median, mode and range.

  1. Mean = 133 ÷ 7 = 19.
  2. Median = middle value in order = 22.
  3. Mode = most common = no repeated value.
  4. Range = 37 − 1 = 36.
  5. Answer: Mean 19, median 22, mode none, range 36
Hard example

For the data 5, 7, 11, 14, 22, 33, 48, 52, 58, find the mean, median, mode and range.

  1. Mean = 250 ÷ 9 = 27.78.
  2. Median = middle value in order = 22.
  3. Mode = most common = no repeated value.
  4. Range = 58 − 5 = 53.
  5. Answer: Mean 27.78, median 22, mode none, range 53

Interactive practice

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

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-587.1 — Mapped statement covering Introducing Mode Essentials.FBISE FBI-807.2 — Mapped statement covering Introducing Mode Essentials.

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Frequently asked

Is this Grade 3 Introducing Mode Essentials 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 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 Introducing Mode Essentials?
Move on to Introducing Mode Techniques, Introducing Mode Word Problems, Introducing Mode Common Errors, Working with Mode, which build directly on this idea.

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