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Free Grade 3 Working with Median Quizzes

Free Grade 3 quizzes for Working with Median: 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

Foundation

Estimated time

15 min

Total marks

24

Learning objectives

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

  • UnderstandExplain working with median

    Explain working with median accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with median

    Calculate working with median accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with median

    Compare working with median accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify working with median

    Justify working with median 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.

Introducing Median
Mean

How Working with Median 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, 8, 8, 13, 19, find the mean, median, mode and range.[1]
  2. 2.For the data 1, 5, 8, 9, 12, find the mean, median, mode and range.[1]
  3. 3.For the data 1, 1, 4, 11, 12, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 9, 10, 10, 18, find the mean, median, mode and range.[1]
  5. 5.For the data 1, 7, 14, 16, 23, 25, 40, find the mean, median, mode and range.[2]
  6. 6.For the data 6, 8, 17, 27, 28, 34, 35, find the mean, median, mode and range.[2]
  7. 7.For the data 5, 24, 28, 30, 33, 37, 37, find the mean, median, mode and range.[2]
  8. 8.For the data 4, 7, 10, 12, 13, 19, 31, find the mean, median, mode and range.[2]
  9. 9.For the data 6, 11, 11, 17, 49, 56, 58, 58, 59, find the mean, median, mode and range.[3]
  10. 10.For the data 3, 14, 15, 19, 25, 38, 53, 57, 59, find the mean, median, mode and range.[3]
  11. 11.For the data 7, 8, 24, 26, 29, 40, 53, 59, 59, find the mean, median, mode and range.[3]
  12. 12.For the data 5, 13, 15, 20, 29, 31, 36, 48, 58, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 10.4, median 8, mode 8, range 15

    Mean = 52 ÷ 5 = 10.4. Median = middle value in order = 8. Mode = most common = 8. Range = 19 − 4 = 15.

  2. 2. Mean 7, median 8, mode none, range 11

    Mean = 35 ÷ 5 = 7. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 12 − 1 = 11.

  3. 3. Mean 5.8, median 4, mode 1, range 11

    Mean = 29 ÷ 5 = 5.8. Median = middle value in order = 4. Mode = most common = 1. Range = 12 − 1 = 11.

  4. 4. Mean 9.8, median 10, mode 10, range 16

    Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 10. Mode = most common = 10. Range = 18 − 2 = 16.

  5. 5. Mean 18, median 16, mode none, range 39

    Mean = 126 ÷ 7 = 18. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 40 − 1 = 39.

  6. 6. Mean 22.14, median 27, mode none, range 29

    Mean = 155 ÷ 7 = 22.14. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 35 − 6 = 29.

  7. 7. Mean 27.71, median 30, mode 37, range 32

    Mean = 194 ÷ 7 = 27.71. Median = middle value in order = 30. Mode = most common = 37. Range = 37 − 5 = 32.

  8. 8. Mean 13.71, median 12, mode none, range 27

    Mean = 96 ÷ 7 = 13.71. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 31 − 4 = 27.

  9. 9. Mean 36.11, median 49, mode 11 and 58, range 53

    Mean = 325 ÷ 9 = 36.11. Median = middle value in order = 49. Mode = most common = 11 and 58. Range = 59 − 6 = 53.

  10. 10. Mean 31.44, median 25, mode none, range 56

    Mean = 283 ÷ 9 = 31.44. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 59 − 3 = 56.

  11. 11. Mean 33.89, median 29, mode 59, range 52

    Mean = 305 ÷ 9 = 33.89. Median = middle value in order = 29. Mode = most common = 59. Range = 59 − 7 = 52.

  12. 12. Mean 28.33, median 29, mode none, range 53

    Mean = 255 ÷ 9 = 28.33. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 58 − 5 = 53.

Worked examples

Easy example

For the data 2, 2, 3, 6, 10, find the mean, median, mode and range.

  1. Mean = 23 ÷ 5 = 4.6.
  2. Median = middle value in order = 3.
  3. Mode = most common = 2.
  4. Range = 10 − 2 = 8.
  5. Answer: Mean 4.6, median 3, mode 2, range 8
Medium example

For the data 3, 12, 12, 25, 25, 33, 36, find the mean, median, mode and range.

  1. Mean = 146 ÷ 7 = 20.86.
  2. Median = middle value in order = 25.
  3. Mode = most common = 12 and 25.
  4. Range = 36 − 3 = 33.
  5. Answer: Mean 20.86, median 25, mode 12 and 25, range 33
Hard example

For the data 5, 13, 29, 30, 36, 37, 38, 40, 54, find the mean, median, mode and range.

  1. Mean = 282 ÷ 9 = 31.33.
  2. Median = middle value in order = 36.
  3. Mode = most common = no repeated value.
  4. Range = 54 − 5 = 49.
  5. Answer: Mean 31.33, median 36, mode none, range 49

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.

NATIONAL-CURRICULUM NAT-685.1 — Mapped statement covering Working with Median.IB IB-756.2 — Mapped statement covering Working with Median.

Every free resource for Working with Median

One concept, one ecosystem — all of it free.

Free Working with Median worksheets
Free Working with Median flashcards
Free Working with Median lessons
Free Working with Median lesson plans

Goes deeper

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

Working with Median Essentials
Working with Median Techniques
Working with Median Word Problems
Working with Median Common Errors

Sibling concepts

Introducing Median
Median in Context

Related concepts

Lateral links, including across subjects.

Introducing Median
Median in Context
Averages from Tables

Next topics

Median in Context
Mean
Mode
Range

All free formats for this concept

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Frequently asked

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

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