FreeMathWorksheet
Free · Grade 3 · Lessons

Free Grade 3 Introducing Median Lessons

Free Grade 3 lessons for Introducing 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

15 min

Total marks

24

Learning objectives

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

  • UnderstandExplain introducing median

    Explain introducing median accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing median

    Calculate introducing median accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing median

    Compare introducing median accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify introducing median

    Justify introducing 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

How Introducing 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 1, 1, 9, 10, 13, find the mean, median, mode and range.[1]
  2. 2.For the data 3, 10, 11, 13, 19, find the mean, median, mode and range.[1]
  3. 3.For the data 3, 4, 14, 15, 17, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 3, 12, 15, 17, find the mean, median, mode and range.[1]
  5. 5.For the data 5, 13, 13, 30, 31, 37, 37, find the mean, median, mode and range.[2]
  6. 6.For the data 3, 21, 24, 28, 31, 34, 36, find the mean, median, mode and range.[2]
  7. 7.For the data 2, 8, 8, 14, 15, 16, 16, find the mean, median, mode and range.[2]
  8. 8.For the data 5, 7, 8, 11, 14, 25, 37, find the mean, median, mode and range.[2]
  9. 9.For the data 13, 15, 17, 19, 29, 32, 36, 45, 52, find the mean, median, mode and range.[3]
  10. 10.For the data 6, 10, 21, 23, 27, 35, 36, 44, 56, find the mean, median, mode and range.[3]
  11. 11.For the data 15, 19, 21, 22, 32, 35, 36, 59, 60, find the mean, median, mode and range.[3]
  12. 12.For the data 4, 12, 12, 20, 24, 29, 49, 59, 60, find the mean, median, mode and range.[3]
Show answers and working

  1. 1. Mean 6.8, median 9, mode 1, range 12

    Mean = 34 ÷ 5 = 6.8. Median = middle value in order = 9. Mode = most common = 1. Range = 13 − 1 = 12.

  2. 2. Mean 11.2, median 11, mode none, range 16

    Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 19 − 3 = 16.

  3. 3. Mean 10.6, median 14, mode none, range 14

    Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 17 − 3 = 14.

  4. 4. Mean 9.8, median 12, mode none, range 15

    Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 17 − 2 = 15.

  5. 5. Mean 23.71, median 30, mode 13 and 37, range 32

    Mean = 166 ÷ 7 = 23.71. Median = middle value in order = 30. Mode = most common = 13 and 37. Range = 37 − 5 = 32.

  6. 6. Mean 25.29, median 28, mode none, range 33

    Mean = 177 ÷ 7 = 25.29. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 36 − 3 = 33.

  7. 7. Mean 11.29, median 14, mode 8 and 16, range 14

    Mean = 79 ÷ 7 = 11.29. Median = middle value in order = 14. Mode = most common = 8 and 16. Range = 16 − 2 = 14.

  8. 8. Mean 15.29, median 11, mode none, range 32

    Mean = 107 ÷ 7 = 15.29. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 37 − 5 = 32.

  9. 9. Mean 28.67, median 29, mode none, range 39

    Mean = 258 ÷ 9 = 28.67. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 52 − 13 = 39.

  10. 10. Mean 28.67, median 27, mode none, range 50

    Mean = 258 ÷ 9 = 28.67. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 56 − 6 = 50.

  11. 11. Mean 33.22, median 32, mode none, range 45

    Mean = 299 ÷ 9 = 33.22. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 60 − 15 = 45.

  12. 12. Mean 29.89, median 24, mode 12, range 56

    Mean = 269 ÷ 9 = 29.89. Median = middle value in order = 24. Mode = most common = 12. Range = 60 − 4 = 56.

Worked examples

Easy example

For the data 3, 6, 7, 12, 16, find the mean, median, mode and range.

  1. Mean = 44 ÷ 5 = 8.8.
  2. Median = middle value in order = 7.
  3. Mode = most common = no repeated value.
  4. Range = 16 − 3 = 13.
  5. Answer: Mean 8.8, median 7, mode none, range 13
Medium example

For the data 10, 13, 13, 16, 26, 34, 37, find the mean, median, mode and range.

  1. Mean = 149 ÷ 7 = 21.29.
  2. Median = middle value in order = 16.
  3. Mode = most common = 13.
  4. Range = 37 − 10 = 27.
  5. Answer: Mean 21.29, median 16, mode 13, range 27
Hard example

For the data 4, 7, 31, 40, 46, 50, 57, 58, 59, find the mean, median, mode and range.

  1. Mean = 352 ÷ 9 = 39.11.
  2. Median = middle value in order = 46.
  3. Mode = most common = no repeated value.
  4. Range = 59 − 4 = 55.
  5. Answer: Mean 39.11, median 46, mode none, range 55

Interactive practice

Free, no account required — answer on screen or print it.

Open the free lessonDownload printable packPractise with the AI Tutor

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.

OCR OCR-585.1 — Mapped statement covering Introducing Median.CAMBRIDGE CAM-735.2 — Mapped statement covering Introducing Median.

Every free resource for Introducing Median

One concept, one ecosystem — all of it free.

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

Goes deeper

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

Introducing Median Essentials
Introducing Median Techniques
Introducing Median Word Problems
Introducing Median Common Errors

Sibling concepts

Working with Median
Median in Context

Related concepts

Lateral links, including across subjects.

Working with Median
Median in Context
Mode

Next topics

Working with Median
Median in Context
Mean
Mode

All free formats for this concept

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

Frequently asked

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

Related resources

Free AI Tutor

Stuck on Introducing Median? The AI Tutor already knows this page, its prerequisites and its common mistakes.

Open the free AI Tutor