Free Grade 3 Working with Introducing Range Techniques Worksheets
Free Grade 3 worksheets for Working with Introducing Range Techniques: 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing range techniques
Identify working with introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range techniques
Explain working with introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range techniques
Calculate working with introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range techniques
Compare working with introducing range techniques 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 Introducing Range Techniques 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, 7, 8, 14, 19, find the mean, median, mode and range.[1]
- 2.For the data 2, 8, 14, 15, 16, find the mean, median, mode and range.[1]
- 3.For the data 5, 10, 10, 11, 16, find the mean, median, mode and range.[1]
- 4.For the data 3, 5, 10, 14, 15, find the mean, median, mode and range.[1]
- 5.For the data 9, 9, 16, 18, 26, 27, 31, find the mean, median, mode and range.[2]
- 6.For the data 9, 10, 16, 28, 29, 33, 37, find the mean, median, mode and range.[2]
- 7.For the data 6, 9, 28, 32, 35, 40, 40, find the mean, median, mode and range.[2]
- 8.For the data 4, 8, 11, 23, 29, 31, 33, find the mean, median, mode and range.[2]
- 9.For the data 1, 7, 12, 30, 32, 34, 42, 55, 57, find the mean, median, mode and range.[3]
- 10.For the data 5, 15, 18, 27, 27, 27, 32, 52, 57, find the mean, median, mode and range.[3]
- 11.For the data 8, 10, 10, 14, 15, 29, 41, 47, 51, find the mean, median, mode and range.[3]
- 12.For the data 3, 12, 14, 17, 27, 35, 39, 47, 47, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9.8, median 8, mode none, range 18
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 19 − 1 = 18.
2. Mean 11, median 14, mode none, range 14
Mean = 55 ÷ 5 = 11. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 16 − 2 = 14.
3. Mean 10.4, median 10, mode 10, range 11
Mean = 52 ÷ 5 = 10.4. Median = middle value in order = 10. Mode = most common = 10. Range = 16 − 5 = 11.
4. Mean 9.4, median 10, mode none, range 12
Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 15 − 3 = 12.
5. Mean 19.43, median 18, mode 9, range 22
Mean = 136 ÷ 7 = 19.43. Median = middle value in order = 18. Mode = most common = 9. Range = 31 − 9 = 22.
6. Mean 23.14, median 28, mode none, range 28
Mean = 162 ÷ 7 = 23.14. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 37 − 9 = 28.
7. Mean 27.14, median 32, mode 40, range 34
Mean = 190 ÷ 7 = 27.14. Median = middle value in order = 32. Mode = most common = 40. Range = 40 − 6 = 34.
8. Mean 19.86, median 23, mode none, range 29
Mean = 139 ÷ 7 = 19.86. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 33 − 4 = 29.
9. Mean 30, median 32, mode none, range 56
Mean = 270 ÷ 9 = 30. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 57 − 1 = 56.
10. Mean 28.89, median 27, mode 27, range 52
Mean = 260 ÷ 9 = 28.89. Median = middle value in order = 27. Mode = most common = 27. Range = 57 − 5 = 52.
11. Mean 25, median 15, mode 10, range 43
Mean = 225 ÷ 9 = 25. Median = middle value in order = 15. Mode = most common = 10. Range = 51 − 8 = 43.
12. Mean 26.78, median 27, mode 47, range 44
Mean = 241 ÷ 9 = 26.78. Median = middle value in order = 27. Mode = most common = 47. Range = 47 − 3 = 44.
Worked examples
For the data 1, 6, 7, 11, 13, find the mean, median, mode and range.
- Mean = 38 ÷ 5 = 7.6.
- Median = middle value in order = 7.
- Mode = most common = no repeated value.
- Range = 13 − 1 = 12.
- Answer: Mean 7.6, median 7, mode none, range 12
For the data 16, 16, 20, 22, 24, 26, 27, find the mean, median, mode and range.
- Mean = 151 ÷ 7 = 21.57.
- Median = middle value in order = 22.
- Mode = most common = 16.
- Range = 27 − 16 = 11.
- Answer: Mean 21.57, median 22, mode 16, range 11
For the data 5, 6, 6, 10, 12, 20, 29, 57, 59, find the mean, median, mode and range.
- Mean = 204 ÷ 9 = 22.67.
- Median = middle value in order = 12.
- Mode = most common = 6.
- Range = 59 − 5 = 54.
- Answer: Mean 22.67, median 12, mode 6, 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.
Every free resource for Working with Introducing Range Techniques
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 Introducing Range Techniques 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 Rules and Methods in Introducing Range Techniques, Key Vocabulary of Introducing Range Techniques, Introducing Range Essentials. 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 Working with Introducing Range Techniques?
- Move on to Introducing Range Techniques in Examinations, Introducing Range Essentials, Introducing Range Word Problems, Introducing Range Common Errors, which build directly on this idea.
Related resources
- Free Working with Introducing Range Techniques quizzes
- Free Working with Introducing Range Techniques flashcards
- Free Working with Introducing Range Techniques lessons
- Free Working with Introducing Range Techniques lesson plans
- Working with Introducing Range Techniques in the knowledge graph
- Free AI Tutor
Stuck on Working with Introducing Range Techniques? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor