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Free Grade 3 Introducing Mode Essentials Quizzes

Free Grade 3 quizzes 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

Stretch

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 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 11, 13, 16, 17, 20, find the mean, median, mode and range.[1]
  2. 2.For the data 2, 6, 11, 13, 14, find the mean, median, mode and range.[1]
  3. 3.For the data 1, 3, 8, 12, 14, find the mean, median, mode and range.[1]
  4. 4.For the data 6, 11, 15, 15, 16, find the mean, median, mode and range.[1]
  5. 5.For the data 6, 8, 28, 29, 30, 38, 39, find the mean, median, mode and range.[2]
  6. 6.For the data 8, 15, 22, 29, 33, 33, 34, find the mean, median, mode and range.[2]
  7. 7.For the data 4, 5, 6, 15, 20, 26, 40, find the mean, median, mode and range.[2]
  8. 8.For the data 6, 13, 20, 21, 26, 26, 34, find the mean, median, mode and range.[2]
  9. 9.For the data 1, 12, 17, 17, 17, 27, 47, 48, 59, find the mean, median, mode and range.[3]
  10. 10.For the data 1, 4, 8, 22, 24, 27, 44, 57, 60, find the mean, median, mode and range.[3]
  11. 11.For the data 2, 7, 8, 19, 22, 35, 36, 41, 49, find the mean, median, mode and range.[3]
  12. 12.For the data 1, 10, 12, 13, 33, 34, 42, 55, 60, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 15.4, median 16, mode none, range 9

    Mean = 77 ÷ 5 = 15.4. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 20 − 11 = 9.

  2. 2. Mean 9.2, median 11, mode none, range 12

    Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 14 − 2 = 12.

  3. 3. Mean 7.6, median 8, mode none, range 13

    Mean = 38 ÷ 5 = 7.6. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 14 − 1 = 13.

  4. 4. Mean 12.6, median 15, mode 15, range 10

    Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 15. Mode = most common = 15. Range = 16 − 6 = 10.

  5. 5. Mean 25.43, median 29, mode none, range 33

    Mean = 178 ÷ 7 = 25.43. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 39 − 6 = 33.

  6. 6. Mean 24.86, median 29, mode 33, range 26

    Mean = 174 ÷ 7 = 24.86. Median = middle value in order = 29. Mode = most common = 33. Range = 34 − 8 = 26.

  7. 7. Mean 16.57, median 15, mode none, range 36

    Mean = 116 ÷ 7 = 16.57. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 40 − 4 = 36.

  8. 8. Mean 20.86, median 21, mode 26, range 28

    Mean = 146 ÷ 7 = 20.86. Median = middle value in order = 21. Mode = most common = 26. Range = 34 − 6 = 28.

  9. 9. Mean 27.22, median 17, mode 17, range 58

    Mean = 245 ÷ 9 = 27.22. Median = middle value in order = 17. Mode = most common = 17. Range = 59 − 1 = 58.

  10. 10. Mean 27.44, median 24, mode none, range 59

    Mean = 247 ÷ 9 = 27.44. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 60 − 1 = 59.

  11. 11. Mean 24.33, median 22, mode none, range 47

    Mean = 219 ÷ 9 = 24.33. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 49 − 2 = 47.

  12. 12. Mean 28.89, median 33, mode none, range 59

    Mean = 260 ÷ 9 = 28.89. Median = middle value in order = 33. Mode = most common = no repeated value. Range = 60 − 1 = 59.

Worked examples

Easy example

For the data 1, 2, 3, 6, 18, find the mean, median, mode and range.

  1. Mean = 30 ÷ 5 = 6.
  2. Median = middle value in order = 3.
  3. Mode = most common = no repeated value.
  4. Range = 18 − 1 = 17.
  5. Answer: Mean 6, median 3, mode none, range 17
Medium example

For the data 1, 4, 10, 20, 22, 32, 36, find the mean, median, mode and range.

  1. Mean = 125 ÷ 7 = 17.86.
  2. Median = middle value in order = 20.
  3. Mode = most common = no repeated value.
  4. Range = 36 − 1 = 35.
  5. Answer: Mean 17.86, median 20, mode none, range 35
Hard example

For the data 4, 4, 8, 14, 29, 33, 45, 55, 60, find the mean, median, mode and range.

  1. Mean = 252 ÷ 9 = 28.
  2. Median = middle value in order = 29.
  3. Mode = most common = 4.
  4. Range = 60 − 4 = 56.
  5. Answer: Mean 28, median 29, mode 4, range 56

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 quiz really free?
Yes. Every quizzes 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 quiz 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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