Free Grade 3 Median Worksheets
Free Grade 3 worksheets 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 11, 11, 15, 19, 20, find the mean, median, mode and range.[1]
- 2.For the data 4, 8, 9, 15, 16, find the mean, median, mode and range.[1]
- 3.For the data 4, 7, 14, 14, 14, find the mean, median, mode and range.[1]
- 4.For the data 10, 17, 19, 20, 20, find the mean, median, mode and range.[1]
- 5.For the data 8, 24, 25, 31, 34, 35, 36, find the mean, median, mode and range.[2]
- 6.For the data 2, 10, 11, 11, 20, 21, 39, find the mean, median, mode and range.[2]
- 7.For the data 6, 6, 11, 14, 26, 34, 37, find the mean, median, mode and range.[2]
- 8.For the data 6, 8, 13, 13, 26, 33, 38, find the mean, median, mode and range.[2]
- 9.For the data 20, 26, 35, 36, 47, 47, 49, 50, 53, find the mean, median, mode and range.[3]
- 10.For the data 5, 8, 22, 24, 41, 44, 45, 49, 60, find the mean, median, mode and range.[3]
- 11.For the data 8, 18, 20, 24, 25, 25, 57, 58, 58, find the mean, median, mode and range.[3]
- 12.For the data 1, 5, 15, 27, 35, 35, 47, 50, 58, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 15.2, median 15, mode 11, range 9
Mean = 76 ÷ 5 = 15.2. Median = middle value in order = 15. Mode = most common = 11. Range = 20 − 11 = 9.
2. Mean 10.4, median 9, mode none, range 12
Mean = 52 ÷ 5 = 10.4. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 16 − 4 = 12.
3. Mean 10.6, median 14, mode 14, range 10
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 14. Mode = most common = 14. Range = 14 − 4 = 10.
4. Mean 17.2, median 19, mode 20, range 10
Mean = 86 ÷ 5 = 17.2. Median = middle value in order = 19. Mode = most common = 20. Range = 20 − 10 = 10.
5. Mean 27.57, median 31, mode none, range 28
Mean = 193 ÷ 7 = 27.57. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 36 − 8 = 28.
6. Mean 16.29, median 11, mode 11, range 37
Mean = 114 ÷ 7 = 16.29. Median = middle value in order = 11. Mode = most common = 11. Range = 39 − 2 = 37.
7. Mean 19.14, median 14, mode 6, range 31
Mean = 134 ÷ 7 = 19.14. Median = middle value in order = 14. Mode = most common = 6. Range = 37 − 6 = 31.
8. Mean 19.57, median 13, mode 13, range 32
Mean = 137 ÷ 7 = 19.57. Median = middle value in order = 13. Mode = most common = 13. Range = 38 − 6 = 32.
9. Mean 40.33, median 47, mode 47, range 33
Mean = 363 ÷ 9 = 40.33. Median = middle value in order = 47. Mode = most common = 47. Range = 53 − 20 = 33.
10. Mean 33.11, median 41, mode none, range 55
Mean = 298 ÷ 9 = 33.11. Median = middle value in order = 41. Mode = most common = no repeated value. Range = 60 − 5 = 55.
11. Mean 32.56, median 25, mode 25 and 58, range 50
Mean = 293 ÷ 9 = 32.56. Median = middle value in order = 25. Mode = most common = 25 and 58. Range = 58 − 8 = 50.
12. Mean 30.33, median 35, mode 35, range 57
Mean = 273 ÷ 9 = 30.33. Median = middle value in order = 35. Mode = most common = 35. Range = 58 − 1 = 57.
Worked examples
For the data 2, 4, 7, 17, 19, find the mean, median, mode and range.
- Mean = 49 ÷ 5 = 9.8.
- Median = middle value in order = 7.
- Mode = most common = no repeated value.
- Range = 19 − 2 = 17.
- Answer: Mean 9.8, median 7, mode none, range 17
For the data 4, 10, 14, 15, 21, 24, 25, find the mean, median, mode and range.
- Mean = 113 ÷ 7 = 16.14.
- Median = middle value in order = 15.
- Mode = most common = no repeated value.
- Range = 25 − 4 = 21.
- Answer: Mean 16.14, median 15, mode none, range 21
For the data 5, 11, 43, 46, 50, 53, 55, 56, 58, find the mean, median, mode and range.
- Mean = 377 ÷ 9 = 41.89.
- Median = middle value in order = 50.
- Mode = most common = no repeated value.
- Range = 58 − 5 = 53.
- Answer: Mean 41.89, median 50, mode none, range 53
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.
Every free resource for Median
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Frequently asked
- Is this Grade 3 Median 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 Mean, Measurement. 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?
- Move on to Mode, Range, Averages from Tables, Data Presentation, which build directly on this idea.
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