Free Grade 3 Working with Range Lessons
Free Grade 3 lessons 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
35 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 1, 2, 2, 4, 12, find the mean, median, mode and range.[1]
- 2.For the data 6, 6, 9, 12, 13, find the mean, median, mode and range.[1]
- 3.For the data 1, 4, 9, 16, 20, find the mean, median, mode and range.[1]
- 4.For the data 9, 10, 10, 15, 16, find the mean, median, mode and range.[1]
- 5.For the data 12, 26, 27, 27, 29, 35, 36, find the mean, median, mode and range.[2]
- 6.For the data 8, 15, 16, 27, 27, 29, 33, find the mean, median, mode and range.[2]
- 7.For the data 1, 4, 9, 18, 22, 23, 35, find the mean, median, mode and range.[2]
- 8.For the data 1, 11, 20, 26, 35, 38, 39, find the mean, median, mode and range.[2]
- 9.For the data 2, 4, 6, 10, 27, 43, 51, 55, 58, find the mean, median, mode and range.[3]
- 10.For the data 4, 5, 14, 36, 40, 41, 50, 51, 56, find the mean, median, mode and range.[3]
- 11.For the data 3, 14, 18, 18, 24, 25, 45, 58, 59, find the mean, median, mode and range.[3]
- 12.For the data 5, 7, 9, 14, 22, 37, 46, 53, 54, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 4.2, median 2, mode 2, range 11
Mean = 21 ÷ 5 = 4.2. Median = middle value in order = 2. Mode = most common = 2. Range = 12 − 1 = 11.
2. Mean 9.2, median 9, mode 6, range 7
Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 9. Mode = most common = 6. Range = 13 − 6 = 7.
3. Mean 10, median 9, mode none, range 19
Mean = 50 ÷ 5 = 10. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 20 − 1 = 19.
4. Mean 12, median 10, mode 10, range 7
Mean = 60 ÷ 5 = 12. Median = middle value in order = 10. Mode = most common = 10. Range = 16 − 9 = 7.
5. Mean 27.43, median 27, mode 27, range 24
Mean = 192 ÷ 7 = 27.43. Median = middle value in order = 27. Mode = most common = 27. Range = 36 − 12 = 24.
6. Mean 22.14, median 27, mode 27, range 25
Mean = 155 ÷ 7 = 22.14. Median = middle value in order = 27. Mode = most common = 27. Range = 33 − 8 = 25.
7. Mean 16, median 18, mode none, range 34
Mean = 112 ÷ 7 = 16. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 35 − 1 = 34.
8. Mean 24.29, median 26, mode none, range 38
Mean = 170 ÷ 7 = 24.29. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 39 − 1 = 38.
9. Mean 28.44, median 27, mode none, range 56
Mean = 256 ÷ 9 = 28.44. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 58 − 2 = 56.
10. Mean 33, median 40, mode none, range 52
Mean = 297 ÷ 9 = 33. Median = middle value in order = 40. Mode = most common = no repeated value. Range = 56 − 4 = 52.
11. Mean 29.33, median 24, mode 18, range 56
Mean = 264 ÷ 9 = 29.33. Median = middle value in order = 24. Mode = most common = 18. Range = 59 − 3 = 56.
12. Mean 27.44, median 22, mode none, range 49
Mean = 247 ÷ 9 = 27.44. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 54 − 5 = 49.
Worked examples
For the data 6, 9, 12, 16, 19, find the mean, median, mode and range.
- Mean = 62 ÷ 5 = 12.4.
- Median = middle value in order = 12.
- Mode = most common = no repeated value.
- Range = 19 − 6 = 13.
- Answer: Mean 12.4, median 12, mode none, range 13
For the data 2, 9, 12, 18, 19, 22, 31, find the mean, median, mode and range.
- Mean = 113 ÷ 7 = 16.14.
- Median = middle value in order = 18.
- Mode = most common = no repeated value.
- Range = 31 − 2 = 29.
- Answer: Mean 16.14, median 18, mode none, range 29
For the data 3, 3, 18, 21, 25, 26, 40, 47, 56, find the mean, median, mode and range.
- Mean = 239 ÷ 9 = 26.56.
- Median = middle value in order = 25.
- Mode = most common = 3.
- Range = 56 − 3 = 53.
- Answer: Mean 26.56, median 25, mode 3, 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 Working with Range
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
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 Working with 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 Introducing Range, Mode. 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 Working with Range?
- Move on to Range in Context, Mean, Median, Mode, which build directly on this idea.
Related resources
Stuck on Working with Range? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor