Free Grade 3 Working with Range Lesson Plans
Free Grade 3 lesson plans for Working with 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
Stretch
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with range
Explain working with range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with range
Calculate working with range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with range
Compare working with range accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with range
Justify working with 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 Working with 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, 7, 11, 12, 16, find the mean, median, mode and range.[1]
- 2.For the data 1, 9, 9, 11, 19, find the mean, median, mode and range.[1]
- 3.For the data 3, 3, 5, 8, 19, find the mean, median, mode and range.[1]
- 4.For the data 6, 9, 10, 15, 17, find the mean, median, mode and range.[1]
- 5.For the data 10, 14, 16, 22, 29, 35, 40, find the mean, median, mode and range.[2]
- 6.For the data 1, 23, 27, 32, 35, 36, 37, find the mean, median, mode and range.[2]
- 7.For the data 2, 7, 7, 14, 22, 24, 36, find the mean, median, mode and range.[2]
- 8.For the data 1, 15, 16, 19, 20, 28, 31, find the mean, median, mode and range.[2]
- 9.For the data 2, 4, 24, 27, 29, 39, 46, 55, 60, find the mean, median, mode and range.[3]
- 10.For the data 3, 20, 24, 27, 29, 39, 44, 55, 59, find the mean, median, mode and range.[3]
- 11.For the data 3, 15, 22, 23, 25, 30, 32, 49, 58, find the mean, median, mode and range.[3]
- 12.For the data 8, 15, 15, 27, 30, 48, 54, 57, 60, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9.8, median 11, mode none, range 13
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 16 − 3 = 13.
2. Mean 9.8, median 9, mode 9, range 18
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 9. Mode = most common = 9. Range = 19 − 1 = 18.
3. Mean 7.6, median 5, mode 3, range 16
Mean = 38 ÷ 5 = 7.6. Median = middle value in order = 5. Mode = most common = 3. Range = 19 − 3 = 16.
4. Mean 11.4, median 10, mode none, range 11
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 17 − 6 = 11.
5. Mean 23.71, median 22, mode none, range 30
Mean = 166 ÷ 7 = 23.71. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 40 − 10 = 30.
6. Mean 27.29, median 32, mode none, range 36
Mean = 191 ÷ 7 = 27.29. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 37 − 1 = 36.
7. Mean 16, median 14, mode 7, range 34
Mean = 112 ÷ 7 = 16. Median = middle value in order = 14. Mode = most common = 7. Range = 36 − 2 = 34.
8. Mean 18.57, median 19, mode none, range 30
Mean = 130 ÷ 7 = 18.57. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 31 − 1 = 30.
9. Mean 31.78, median 29, mode none, range 58
Mean = 286 ÷ 9 = 31.78. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 60 − 2 = 58.
10. Mean 33.33, median 29, mode none, range 56
Mean = 300 ÷ 9 = 33.33. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 59 − 3 = 56.
11. Mean 28.56, median 25, mode none, range 55
Mean = 257 ÷ 9 = 28.56. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 58 − 3 = 55.
12. Mean 34.89, median 30, mode 15, range 52
Mean = 314 ÷ 9 = 34.89. Median = middle value in order = 30. Mode = most common = 15. Range = 60 − 8 = 52.
Worked examples
For the data 1, 10, 14, 17, 18, find the mean, median, mode and range.
- Mean = 60 ÷ 5 = 12.
- Median = middle value in order = 14.
- Mode = most common = no repeated value.
- Range = 18 − 1 = 17.
- Answer: Mean 12, median 14, mode none, range 17
For the data 1, 10, 17, 36, 38, 38, 39, find the mean, median, mode and range.
- Mean = 179 ÷ 7 = 25.57.
- Median = middle value in order = 36.
- Mode = most common = 38.
- Range = 39 − 1 = 38.
- Answer: Mean 25.57, median 36, mode 38, range 38
For the data 4, 19, 35, 38, 41, 45, 56, 57, 58, find the mean, median, mode and range.
- Mean = 353 ÷ 9 = 39.22.
- Median = middle value in order = 41.
- Mode = most common = no repeated value.
- Range = 58 − 4 = 54.
- Answer: Mean 39.22, median 41, mode none, range 54
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 Working with Range 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 Introducing Range, Mode. 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 Working with Range?
- Move on to Range in Context, Mean, Median, Mode, which build directly on this idea.
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