Free Grade 3 Range Lessons
Free Grade 3 lessons for Range: 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
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify range
Identify range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain range
Explain range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate range
Calculate range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare range
Compare range 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 Range 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, 10, 15, 15, find the mean, median, mode and range.[1]
- 2.For the data 5, 7, 10, 15, 18, find the mean, median, mode and range.[1]
- 3.For the data 10, 11, 15, 15, 17, find the mean, median, mode and range.[1]
- 4.For the data 5, 6, 9, 16, 20, find the mean, median, mode and range.[1]
- 5.For the data 1, 13, 13, 23, 26, 33, 34, find the mean, median, mode and range.[2]
- 6.For the data 4, 6, 11, 12, 27, 27, 34, find the mean, median, mode and range.[2]
- 7.For the data 14, 16, 17, 18, 24, 32, 38, find the mean, median, mode and range.[2]
- 8.For the data 9, 12, 13, 23, 25, 30, 34, find the mean, median, mode and range.[2]
- 9.For the data 9, 14, 17, 38, 43, 53, 54, 57, 60, find the mean, median, mode and range.[3]
- 10.For the data 9, 15, 16, 16, 19, 26, 34, 37, 40, find the mean, median, mode and range.[3]
- 11.For the data 6, 6, 19, 21, 21, 26, 31, 47, 50, find the mean, median, mode and range.[3]
- 12.For the data 4, 8, 12, 13, 23, 28, 36, 40, 46, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 10.2, median 10, mode 15, range 12
Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 10. Mode = most common = 15. Range = 15 − 3 = 12.
2. Mean 11, median 10, mode none, range 13
Mean = 55 ÷ 5 = 11. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 18 − 5 = 13.
3. Mean 13.6, median 15, mode 15, range 7
Mean = 68 ÷ 5 = 13.6. Median = middle value in order = 15. Mode = most common = 15. Range = 17 − 10 = 7.
4. Mean 11.2, median 9, mode none, range 15
Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 20 − 5 = 15.
5. Mean 20.43, median 23, mode 13, range 33
Mean = 143 ÷ 7 = 20.43. Median = middle value in order = 23. Mode = most common = 13. Range = 34 − 1 = 33.
6. Mean 17.29, median 12, mode 27, range 30
Mean = 121 ÷ 7 = 17.29. Median = middle value in order = 12. Mode = most common = 27. Range = 34 − 4 = 30.
7. Mean 22.71, median 18, mode none, range 24
Mean = 159 ÷ 7 = 22.71. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 38 − 14 = 24.
8. Mean 20.86, median 23, mode none, range 25
Mean = 146 ÷ 7 = 20.86. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 34 − 9 = 25.
9. Mean 38.33, median 43, mode none, range 51
Mean = 345 ÷ 9 = 38.33. Median = middle value in order = 43. Mode = most common = no repeated value. Range = 60 − 9 = 51.
10. Mean 23.56, median 19, mode 16, range 31
Mean = 212 ÷ 9 = 23.56. Median = middle value in order = 19. Mode = most common = 16. Range = 40 − 9 = 31.
11. Mean 25.22, median 21, mode 6 and 21, range 44
Mean = 227 ÷ 9 = 25.22. Median = middle value in order = 21. Mode = most common = 6 and 21. Range = 50 − 6 = 44.
12. Mean 23.33, median 23, mode none, range 42
Mean = 210 ÷ 9 = 23.33. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 46 − 4 = 42.
Worked examples
For the data 8, 15, 15, 16, 20, find the mean, median, mode and range.
- Mean = 74 ÷ 5 = 14.8.
- Median = middle value in order = 15.
- Mode = most common = 15.
- Range = 20 − 8 = 12.
- Answer: Mean 14.8, median 15, mode 15, range 12
For the data 9, 11, 15, 16, 19, 23, 36, find the mean, median, mode and range.
- Mean = 129 ÷ 7 = 18.43.
- Median = middle value in order = 16.
- Mode = most common = no repeated value.
- Range = 36 − 9 = 27.
- Answer: Mean 18.43, median 16, mode none, range 27
For the data 4, 13, 18, 20, 44, 44, 44, 59, 60, find the mean, median, mode and range.
- Mean = 306 ÷ 9 = 34.
- Median = middle value in order = 44.
- Mode = most common = 44.
- Range = 60 − 4 = 56.
- Answer: Mean 34, median 44, mode 44, range 56
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 Range
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Lateral links, including across subjects.
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Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Range 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 Mode, Median, 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 Range?
- Move on to Averages from Tables, Data Presentation, Data Collection, which build directly on this idea.
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