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Free Grade 3 Median in Context Worksheets

Free Grade 3 worksheets for Median 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

Foundation

Estimated time

20 min

Total marks

24

Learning objectives

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

  • RememberIdentify median in context

    Identify median in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain median in context

    Explain median in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate median in context

    Calculate median in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare median in context

    Compare median 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.

How Median 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 2, 2, 4, 12, 16, find the mean, median, mode and range.[1]
  2. 2.For the data 6, 8, 15, 18, 18, find the mean, median, mode and range.[1]
  3. 3.For the data 4, 7, 7, 17, 18, find the mean, median, mode and range.[1]
  4. 4.For the data 7, 10, 11, 13, 13, find the mean, median, mode and range.[1]
  5. 5.For the data 4, 6, 18, 18, 26, 32, 39, find the mean, median, mode and range.[2]
  6. 6.For the data 14, 16, 22, 25, 35, 37, 37, find the mean, median, mode and range.[2]
  7. 7.For the data 1, 1, 13, 22, 24, 36, 37, find the mean, median, mode and range.[2]
  8. 8.For the data 3, 6, 7, 10, 12, 34, 35, find the mean, median, mode and range.[2]
  9. 9.For the data 12, 20, 36, 36, 36, 41, 52, 53, 54, find the mean, median, mode and range.[3]
  10. 10.For the data 1, 12, 16, 18, 21, 24, 25, 34, 55, find the mean, median, mode and range.[3]
  11. 11.For the data 9, 18, 23, 24, 37, 42, 48, 53, 54, find the mean, median, mode and range.[3]
  12. 12.For the data 24, 24, 28, 30, 31, 46, 47, 49, 58, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 7.2, median 4, mode 2, range 14

    Mean = 36 ÷ 5 = 7.2. Median = middle value in order = 4. Mode = most common = 2. Range = 16 − 2 = 14.

  2. 2. Mean 13, median 15, mode 18, range 12

    Mean = 65 ÷ 5 = 13. Median = middle value in order = 15. Mode = most common = 18. Range = 18 − 6 = 12.

  3. 3. Mean 10.6, median 7, mode 7, range 14

    Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 7. Mode = most common = 7. Range = 18 − 4 = 14.

  4. 4. Mean 10.8, median 11, mode 13, range 6

    Mean = 54 ÷ 5 = 10.8. Median = middle value in order = 11. Mode = most common = 13. Range = 13 − 7 = 6.

  5. 5. Mean 20.43, median 18, mode 18, range 35

    Mean = 143 ÷ 7 = 20.43. Median = middle value in order = 18. Mode = most common = 18. Range = 39 − 4 = 35.

  6. 6. Mean 26.57, median 25, mode 37, range 23

    Mean = 186 ÷ 7 = 26.57. Median = middle value in order = 25. Mode = most common = 37. Range = 37 − 14 = 23.

  7. 7. Mean 19.14, median 22, mode 1, range 36

    Mean = 134 ÷ 7 = 19.14. Median = middle value in order = 22. Mode = most common = 1. Range = 37 − 1 = 36.

  8. 8. Mean 15.29, median 10, mode none, range 32

    Mean = 107 ÷ 7 = 15.29. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 35 − 3 = 32.

  9. 9. Mean 37.78, median 36, mode 36, range 42

    Mean = 340 ÷ 9 = 37.78. Median = middle value in order = 36. Mode = most common = 36. Range = 54 − 12 = 42.

  10. 10. Mean 22.89, median 21, mode none, range 54

    Mean = 206 ÷ 9 = 22.89. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 55 − 1 = 54.

  11. 11. Mean 34.22, median 37, mode none, range 45

    Mean = 308 ÷ 9 = 34.22. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 54 − 9 = 45.

  12. 12. Mean 37.44, median 31, mode 24, range 34

    Mean = 337 ÷ 9 = 37.44. Median = middle value in order = 31. Mode = most common = 24. Range = 58 − 24 = 34.

Worked examples

Easy example

For the data 6, 15, 15, 16, 17, find the mean, median, mode and range.

  1. Mean = 69 ÷ 5 = 13.8.
  2. Median = middle value in order = 15.
  3. Mode = most common = 15.
  4. Range = 17 − 6 = 11.
  5. Answer: Mean 13.8, median 15, mode 15, range 11
Medium example

For the data 1, 10, 15, 17, 21, 31, 32, find the mean, median, mode and range.

  1. Mean = 127 ÷ 7 = 18.14.
  2. Median = middle value in order = 17.
  3. Mode = most common = no repeated value.
  4. Range = 32 − 1 = 31.
  5. Answer: Mean 18.14, median 17, mode none, range 31
Hard example

For the data 4, 5, 7, 31, 37, 49, 50, 52, 58, find the mean, median, mode and range.

  1. Mean = 293 ÷ 9 = 32.56.
  2. Median = middle value in order = 37.
  3. Mode = most common = no repeated value.
  4. Range = 58 − 4 = 54.
  5. Answer: Mean 32.56, median 37, mode none, range 54

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-655.1 — Mapped statement covering Median in Context.FBISE FBI-215.2 — Mapped statement covering Median in Context.

Every free resource for Median in Context

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Frequently asked

Is this Grade 3 Median in Context worksheet really free?
Yes. Every worksheets 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 Median, Introducing Median, Mean. Each one has its own free lesson, worksheet and quiz.
How is the worksheet 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 Median in Context?
Move on to Mean, Mode, Range, Averages from Tables, which build directly on this idea.

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