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Free Grade 3 Median Lessons

Free Grade 3 lessons for 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

Stretch

Estimated time

35 min

Total marks

24

Learning objectives

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

  • UnderstandExplain median

    Explain median accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate median

    Calculate median accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare median

    Compare median accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify median

    Justify 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.

Mean
Measurement

How 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 5, 6, 15, 17, 18, find the mean, median, mode and range.[1]
  2. 2.For the data 2, 4, 7, 8, 16, find the mean, median, mode and range.[1]
  3. 3.For the data 2, 3, 5, 11, 20, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 9, 12, 12, 16, find the mean, median, mode and range.[1]
  5. 5.For the data 6, 9, 13, 16, 23, 29, 35, find the mean, median, mode and range.[2]
  6. 6.For the data 3, 5, 15, 19, 32, 35, 38, find the mean, median, mode and range.[2]
  7. 7.For the data 11, 13, 14, 14, 26, 32, 39, find the mean, median, mode and range.[2]
  8. 8.For the data 3, 10, 10, 11, 12, 21, 22, find the mean, median, mode and range.[2]
  9. 9.For the data 5, 10, 18, 33, 39, 48, 55, 59, 60, find the mean, median, mode and range.[3]
  10. 10.For the data 6, 6, 8, 32, 39, 41, 41, 52, 59, find the mean, median, mode and range.[3]
  11. 11.For the data 5, 6, 14, 24, 27, 32, 34, 37, 49, find the mean, median, mode and range.[3]
  12. 12.For the data 4, 10, 26, 31, 33, 34, 41, 47, 54, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 12.2, median 15, mode none, range 13

    Mean = 61 ÷ 5 = 12.2. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 18 − 5 = 13.

  2. 2. Mean 7.4, median 7, mode none, range 14

    Mean = 37 ÷ 5 = 7.4. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 16 − 2 = 14.

  3. 3. Mean 8.2, median 5, mode none, range 18

    Mean = 41 ÷ 5 = 8.2. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 20 − 2 = 18.

  4. 4. Mean 10.2, median 12, mode 12, range 14

    Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 12. Mode = most common = 12. Range = 16 − 2 = 14.

  5. 5. Mean 18.71, median 16, mode none, range 29

    Mean = 131 ÷ 7 = 18.71. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 35 − 6 = 29.

  6. 6. Mean 21, median 19, mode none, range 35

    Mean = 147 ÷ 7 = 21. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 38 − 3 = 35.

  7. 7. Mean 21.29, median 14, mode 14, range 28

    Mean = 149 ÷ 7 = 21.29. Median = middle value in order = 14. Mode = most common = 14. Range = 39 − 11 = 28.

  8. 8. Mean 12.71, median 11, mode 10, range 19

    Mean = 89 ÷ 7 = 12.71. Median = middle value in order = 11. Mode = most common = 10. Range = 22 − 3 = 19.

  9. 9. Mean 36.33, median 39, mode none, range 55

    Mean = 327 ÷ 9 = 36.33. Median = middle value in order = 39. Mode = most common = no repeated value. Range = 60 − 5 = 55.

  10. 10. Mean 31.56, median 39, mode 6 and 41, range 53

    Mean = 284 ÷ 9 = 31.56. Median = middle value in order = 39. Mode = most common = 6 and 41. Range = 59 − 6 = 53.

  11. 11. Mean 25.33, median 27, mode none, range 44

    Mean = 228 ÷ 9 = 25.33. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 49 − 5 = 44.

  12. 12. Mean 31.11, median 33, mode none, range 50

    Mean = 280 ÷ 9 = 31.11. Median = middle value in order = 33. Mode = most common = no repeated value. Range = 54 − 4 = 50.

Worked examples

Easy example

For the data 2, 2, 8, 14, 16, find the mean, median, mode and range.

  1. Mean = 42 ÷ 5 = 8.4.
  2. Median = middle value in order = 8.
  3. Mode = most common = 2.
  4. Range = 16 − 2 = 14.
  5. Answer: Mean 8.4, median 8, mode 2, range 14
Medium example

For the data 4, 7, 9, 12, 19, 31, 37, find the mean, median, mode and range.

  1. Mean = 119 ÷ 7 = 17.
  2. Median = middle value in order = 12.
  3. Mode = most common = no repeated value.
  4. Range = 37 − 4 = 33.
  5. Answer: Mean 17, median 12, mode none, range 33
Hard example

For the data 4, 12, 26, 32, 37, 40, 44, 51, 60, find the mean, median, mode and range.

  1. Mean = 306 ÷ 9 = 34.
  2. Median = middle value in order = 37.
  3. Mode = most common = no repeated value.
  4. Range = 60 − 4 = 56.
  5. Answer: Mean 34, median 37, mode none, range 56

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.

COLLEGE-BOARD COL-279.1 — Mapped statement covering Median.AQA AQA-824.2 — Mapped statement covering Median.

Every free resource for Median

One concept, one ecosystem — all of it free.

Free Median worksheets
Free Median quizzes
Free Median flashcards
Free Median lesson plans

Goes deeper

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

Introducing Median
Working with Median
Median in Context

Sibling concepts

Mean
Mode
Range
Averages from Tables

Related concepts

Lateral links, including across subjects.

Mean
Mode
Range
Averages from Tables
Data Collection

Next topics

Mode
Range
Averages from Tables
Data Presentation

All free formats for this concept

Every kind below is a real page, generated from this entity.

Frequently asked

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

Related resources

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