Free Grade 3 Median Lesson Plans
Free Grade 3 lesson plans 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.
Free
Core
30 min
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.
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.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.For the data 3, 8, 9, 13, 20, find the mean, median, mode and range.[1]
- 2.For the data 1, 3, 10, 10, 13, find the mean, median, mode and range.[1]
- 3.For the data 4, 4, 11, 13, 18, find the mean, median, mode and range.[1]
- 4.For the data 5, 13, 13, 15, 20, find the mean, median, mode and range.[1]
- 5.For the data 2, 12, 13, 20, 29, 30, 34, find the mean, median, mode and range.[2]
- 6.For the data 6, 22, 28, 29, 38, 39, 39, find the mean, median, mode and range.[2]
- 7.For the data 4, 5, 18, 19, 27, 36, 37, find the mean, median, mode and range.[2]
- 8.For the data 1, 2, 4, 6, 7, 13, 27, find the mean, median, mode and range.[2]
- 9.For the data 3, 8, 9, 11, 16, 17, 26, 31, 51, find the mean, median, mode and range.[3]
- 10.For the data 2, 7, 11, 15, 17, 30, 40, 48, 52, find the mean, median, mode and range.[3]
- 11.For the data 14, 18, 23, 29, 37, 43, 44, 54, 55, find the mean, median, mode and range.[3]
- 12.For the data 3, 7, 15, 19, 27, 28, 35, 48, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 10.6, median 9, mode none, range 17
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 20 − 3 = 17.
2. Mean 7.4, median 10, mode 10, range 12
Mean = 37 ÷ 5 = 7.4. Median = middle value in order = 10. Mode = most common = 10. Range = 13 − 1 = 12.
3. Mean 10, median 11, mode 4, range 14
Mean = 50 ÷ 5 = 10. Median = middle value in order = 11. Mode = most common = 4. Range = 18 − 4 = 14.
4. Mean 13.2, median 13, mode 13, range 15
Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 13. Mode = most common = 13. Range = 20 − 5 = 15.
5. Mean 20, median 20, mode none, range 32
Mean = 140 ÷ 7 = 20. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 34 − 2 = 32.
6. Mean 28.71, median 29, mode 39, range 33
Mean = 201 ÷ 7 = 28.71. Median = middle value in order = 29. Mode = most common = 39. Range = 39 − 6 = 33.
7. Mean 20.86, median 19, mode none, range 33
Mean = 146 ÷ 7 = 20.86. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 37 − 4 = 33.
8. Mean 8.57, median 6, mode none, range 26
Mean = 60 ÷ 7 = 8.57. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 27 − 1 = 26.
9. Mean 19.11, median 16, mode none, range 48
Mean = 172 ÷ 9 = 19.11. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 51 − 3 = 48.
10. Mean 24.67, median 17, mode none, range 50
Mean = 222 ÷ 9 = 24.67. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 52 − 2 = 50.
11. Mean 35.22, median 37, mode none, range 41
Mean = 317 ÷ 9 = 35.22. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 55 − 14 = 41.
12. Mean 26.78, median 27, mode none, range 56
Mean = 241 ÷ 9 = 26.78. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 59 − 3 = 56.
Worked examples
For the data 1, 7, 10, 10, 16, find the mean, median, mode and range.
- Mean = 44 ÷ 5 = 8.8.
- Median = middle value in order = 10.
- Mode = most common = 10.
- Range = 16 − 1 = 15.
- Answer: Mean 8.8, median 10, mode 10, range 15
For the data 2, 14, 14, 32, 33, 33, 35, find the mean, median, mode and range.
- Mean = 163 ÷ 7 = 23.29.
- Median = middle value in order = 32.
- Mode = most common = 14 and 33.
- Range = 35 − 2 = 33.
- Answer: Mean 23.29, median 32, mode 14 and 33, range 33
For the data 2, 2, 19, 21, 37, 38, 40, 51, 57, find the mean, median, mode and range.
- Mean = 267 ÷ 9 = 29.67.
- Median = middle value in order = 37.
- Mode = most common = 2.
- Range = 57 − 2 = 55.
- Answer: Mean 29.67, median 37, mode 2, range 55
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.
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Frequently asked
- Is this Grade 3 Median 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 Mean, Measurement. 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?
- Move on to Mode, Range, Averages from Tables, Data Presentation, which build directly on this idea.
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