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Free Grade 3 Introducing Mode Techniques Flashcards

Free Grade 3 flashcards for Introducing Mode Techniques: 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

15 min

Total marks

24

Learning objectives

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

  • RememberIdentify introducing mode techniques

    Identify introducing mode techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing mode techniques

    Explain introducing mode techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing mode techniques

    Calculate introducing mode techniques accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing mode techniques

    Compare introducing mode techniques 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 Techniques 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 10, 11, 16, 19, 20, find the mean, median, mode and range.[1]
  2. 2.For the data 6, 7, 14, 20, 20, find the mean, median, mode and range.[1]
  3. 3.For the data 2, 7, 10, 12, 18, find the mean, median, mode and range.[1]
  4. 4.For the data 4, 9, 11, 19, 20, find the mean, median, mode and range.[1]
  5. 5.For the data 2, 7, 20, 20, 25, 34, 35, find the mean, median, mode and range.[2]
  6. 6.For the data 4, 6, 7, 9, 9, 35, 38, find the mean, median, mode and range.[2]
  7. 7.For the data 6, 19, 24, 27, 28, 30, 36, find the mean, median, mode and range.[2]
  8. 8.For the data 1, 3, 5, 21, 27, 27, 39, find the mean, median, mode and range.[2]
  9. 9.For the data 4, 7, 17, 28, 51, 51, 52, 54, 60, find the mean, median, mode and range.[3]
  10. 10.For the data 12, 15, 34, 40, 46, 48, 48, 54, 59, find the mean, median, mode and range.[3]
  11. 11.For the data 4, 15, 18, 25, 28, 37, 38, 42, 46, find the mean, median, mode and range.[3]
  12. 12.For the data 2, 10, 21, 29, 29, 29, 32, 56, 56, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 15.2, median 16, mode none, range 10

    Mean = 76 ÷ 5 = 15.2. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 20 − 10 = 10.

  2. 2. Mean 13.4, median 14, mode 20, range 14

    Mean = 67 ÷ 5 = 13.4. Median = middle value in order = 14. Mode = most common = 20. Range = 20 − 6 = 14.

  3. 3. Mean 9.8, median 10, mode none, range 16

    Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 18 − 2 = 16.

  4. 4. Mean 12.6, median 11, mode none, range 16

    Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 20 − 4 = 16.

  5. 5. Mean 20.43, median 20, mode 20, range 33

    Mean = 143 ÷ 7 = 20.43. Median = middle value in order = 20. Mode = most common = 20. Range = 35 − 2 = 33.

  6. 6. Mean 15.43, median 9, mode 9, range 34

    Mean = 108 ÷ 7 = 15.43. Median = middle value in order = 9. Mode = most common = 9. Range = 38 − 4 = 34.

  7. 7. Mean 24.29, median 27, mode none, range 30

    Mean = 170 ÷ 7 = 24.29. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 36 − 6 = 30.

  8. 8. Mean 17.57, median 21, mode 27, range 38

    Mean = 123 ÷ 7 = 17.57. Median = middle value in order = 21. Mode = most common = 27. Range = 39 − 1 = 38.

  9. 9. Mean 36, median 51, mode 51, range 56

    Mean = 324 ÷ 9 = 36. Median = middle value in order = 51. Mode = most common = 51. Range = 60 − 4 = 56.

  10. 10. Mean 39.56, median 46, mode 48, range 47

    Mean = 356 ÷ 9 = 39.56. Median = middle value in order = 46. Mode = most common = 48. Range = 59 − 12 = 47.

  11. 11. Mean 28.11, median 28, mode none, range 42

    Mean = 253 ÷ 9 = 28.11. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 46 − 4 = 42.

  12. 12. Mean 29.33, median 29, mode 29, range 54

    Mean = 264 ÷ 9 = 29.33. Median = middle value in order = 29. Mode = most common = 29. Range = 56 − 2 = 54.

Worked examples

Easy example

For the data 4, 5, 12, 14, 19, find the mean, median, mode and range.

  1. Mean = 54 ÷ 5 = 10.8.
  2. Median = middle value in order = 12.
  3. Mode = most common = no repeated value.
  4. Range = 19 − 4 = 15.
  5. Answer: Mean 10.8, median 12, mode none, range 15
Medium example

For the data 3, 6, 8, 10, 21, 22, 28, find the mean, median, mode and range.

  1. Mean = 98 ÷ 7 = 14.
  2. Median = middle value in order = 10.
  3. Mode = most common = no repeated value.
  4. Range = 28 − 3 = 25.
  5. Answer: Mean 14, median 10, mode none, range 25
Hard example

For the data 21, 28, 31, 40, 44, 46, 47, 55, 60, find the mean, median, mode and range.

  1. Mean = 372 ÷ 9 = 41.33.
  2. Median = middle value in order = 44.
  3. Mode = most common = no repeated value.
  4. Range = 60 − 21 = 39.
  5. Answer: Mean 41.33, median 44, mode none, range 39

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-621.1 — Mapped statement covering Introducing Mode Techniques.FBISE FBI-211.2 — Mapped statement covering Introducing Mode Techniques.

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Frequently asked

Is this Grade 3 Introducing Mode Techniques flashcards really free?
Yes. Every flashcards 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 Essentials, Median. Each one has its own free lesson, worksheet and quiz.
How is the flashcards 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 Techniques?
Move on to Introducing Mode Word Problems, Introducing Mode Common Errors, Working with Mode, Mode in Context, which build directly on this idea.

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