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Free Grade 3 Median in Context Lesson Plans

Free Grade 3 lesson plans 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

30 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 8, 13, 16, 18, 19, find the mean, median, mode and range.[1]
  2. 2.For the data 3, 3, 13, 18, 19, find the mean, median, mode and range.[1]
  3. 3.For the data 8, 8, 9, 16, 19, find the mean, median, mode and range.[1]
  4. 4.For the data 2, 8, 8, 11, 19, find the mean, median, mode and range.[1]
  5. 5.For the data 5, 7, 7, 22, 34, 37, 39, find the mean, median, mode and range.[2]
  6. 6.For the data 12, 16, 23, 26, 34, 35, 35, find the mean, median, mode and range.[2]
  7. 7.For the data 2, 7, 7, 12, 14, 24, 29, find the mean, median, mode and range.[2]
  8. 8.For the data 7, 13, 16, 21, 34, 37, 38, find the mean, median, mode and range.[2]
  9. 9.For the data 6, 13, 20, 31, 35, 41, 50, 58, 59, find the mean, median, mode and range.[3]
  10. 10.For the data 5, 9, 9, 10, 22, 23, 32, 41, 47, find the mean, median, mode and range.[3]
  11. 11.For the data 5, 13, 33, 39, 50, 52, 55, 57, 57, find the mean, median, mode and range.[3]
  12. 12.For the data 4, 7, 14, 20, 25, 31, 47, 48, 51, find the mean, median, mode and range.[3]
Show answers and working
  1. 1. Mean 14.8, median 16, mode none, range 11

    Mean = 74 ÷ 5 = 14.8. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 19 − 8 = 11.

  2. 2. Mean 11.2, median 13, mode 3, range 16

    Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 13. Mode = most common = 3. Range = 19 − 3 = 16.

  3. 3. Mean 12, median 9, mode 8, range 11

    Mean = 60 ÷ 5 = 12. Median = middle value in order = 9. Mode = most common = 8. Range = 19 − 8 = 11.

  4. 4. Mean 9.6, median 8, mode 8, range 17

    Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 8. Mode = most common = 8. Range = 19 − 2 = 17.

  5. 5. Mean 21.57, median 22, mode 7, range 34

    Mean = 151 ÷ 7 = 21.57. Median = middle value in order = 22. Mode = most common = 7. Range = 39 − 5 = 34.

  6. 6. Mean 25.86, median 26, mode 35, range 23

    Mean = 181 ÷ 7 = 25.86. Median = middle value in order = 26. Mode = most common = 35. Range = 35 − 12 = 23.

  7. 7. Mean 13.57, median 12, mode 7, range 27

    Mean = 95 ÷ 7 = 13.57. Median = middle value in order = 12. Mode = most common = 7. Range = 29 − 2 = 27.

  8. 8. Mean 23.71, median 21, mode none, range 31

    Mean = 166 ÷ 7 = 23.71. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 38 − 7 = 31.

  9. 9. Mean 34.78, median 35, mode none, range 53

    Mean = 313 ÷ 9 = 34.78. Median = middle value in order = 35. Mode = most common = no repeated value. Range = 59 − 6 = 53.

  10. 10. Mean 22, median 22, mode 9, range 42

    Mean = 198 ÷ 9 = 22. Median = middle value in order = 22. Mode = most common = 9. Range = 47 − 5 = 42.

  11. 11. Mean 40.11, median 50, mode 57, range 52

    Mean = 361 ÷ 9 = 40.11. Median = middle value in order = 50. Mode = most common = 57. Range = 57 − 5 = 52.

  12. 12. Mean 27.44, median 25, mode none, range 47

    Mean = 247 ÷ 9 = 27.44. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 51 − 4 = 47.

Worked examples

Easy example

For the data 2, 5, 10, 14, 18, find the mean, median, mode and range.

  1. Mean = 49 ÷ 5 = 9.8.
  2. Median = middle value in order = 10.
  3. Mode = most common = no repeated value.
  4. Range = 18 − 2 = 16.
  5. Answer: Mean 9.8, median 10, mode none, range 16
Medium example

For the data 3, 12, 15, 17, 18, 28, 29, find the mean, median, mode and range.

  1. Mean = 122 ÷ 7 = 17.43.
  2. Median = middle value in order = 17.
  3. Mode = most common = no repeated value.
  4. Range = 29 − 3 = 26.
  5. Answer: Mean 17.43, median 17, mode none, range 26
Hard example

For the data 2, 2, 11, 11, 13, 15, 22, 24, 48, find the mean, median, mode and range.

  1. Mean = 148 ÷ 9 = 16.44.
  2. Median = middle value in order = 13.
  3. Mode = most common = 2 and 11.
  4. Range = 48 − 2 = 46.
  5. Answer: Mean 16.44, median 13, mode 2 and 11, range 46

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.

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Frequently asked

Is this Grade 3 Median in Context lesson plan really free?
Yes. Every lesson plans 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 lesson plan 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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