Free Grade 3 Working with Introducing Range Techniques: Visual Models Lessons
Free Grade 3 lessons for Working with Introducing Range Techniques: Visual Models: 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: visual models
Identify working with introducing range techniques: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range techniques: visual models
Explain working with introducing range techniques: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range techniques: visual models
Calculate working with introducing range techniques: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range techniques: visual models
Compare working with introducing range techniques: visual models 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: Visual Models 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 9, 10, 12, 13, 20, find the mean, median, mode and range.[1]
- 2.For the data 5, 6, 9, 12, 12, find the mean, median, mode and range.[1]
- 3.For the data 1, 2, 5, 12, 14, find the mean, median, mode and range.[1]
- 4.For the data 2, 6, 8, 9, 14, find the mean, median, mode and range.[1]
- 5.For the data 13, 16, 22, 30, 35, 37, 40, find the mean, median, mode and range.[2]
- 6.For the data 1, 11, 12, 17, 18, 28, 34, find the mean, median, mode and range.[2]
- 7.For the data 1, 7, 12, 12, 17, 22, 36, find the mean, median, mode and range.[2]
- 8.For the data 1, 25, 26, 29, 32, 36, 38, find the mean, median, mode and range.[2]
- 9.For the data 6, 9, 12, 14, 18, 20, 26, 43, 51, find the mean, median, mode and range.[3]
- 10.For the data 16, 16, 22, 26, 27, 28, 39, 43, 51, find the mean, median, mode and range.[3]
- 11.For the data 7, 10, 21, 22, 37, 39, 45, 56, 58, find the mean, median, mode and range.[3]
- 12.For the data 3, 4, 12, 14, 19, 19, 46, 50, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12.8, median 12, mode none, range 11
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 20 − 9 = 11.
2. Mean 8.8, median 9, mode 12, range 7
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 9. Mode = most common = 12. Range = 12 − 5 = 7.
3. Mean 6.8, median 5, mode none, range 13
Mean = 34 ÷ 5 = 6.8. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 14 − 1 = 13.
4. Mean 7.8, median 8, mode none, range 12
Mean = 39 ÷ 5 = 7.8. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 14 − 2 = 12.
5. Mean 27.57, median 30, mode none, range 27
Mean = 193 ÷ 7 = 27.57. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 40 − 13 = 27.
6. Mean 17.29, median 17, mode none, range 33
Mean = 121 ÷ 7 = 17.29. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 34 − 1 = 33.
7. Mean 15.29, median 12, mode 12, range 35
Mean = 107 ÷ 7 = 15.29. Median = middle value in order = 12. Mode = most common = 12. Range = 36 − 1 = 35.
8. Mean 26.71, median 29, mode none, range 37
Mean = 187 ÷ 7 = 26.71. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 38 − 1 = 37.
9. Mean 22.11, median 18, mode none, range 45
Mean = 199 ÷ 9 = 22.11. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 51 − 6 = 45.
10. Mean 29.78, median 27, mode 16, range 35
Mean = 268 ÷ 9 = 29.78. Median = middle value in order = 27. Mode = most common = 16. Range = 51 − 16 = 35.
11. Mean 32.78, median 37, mode none, range 51
Mean = 295 ÷ 9 = 32.78. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 58 − 7 = 51.
12. Mean 25.11, median 19, mode 19, range 56
Mean = 226 ÷ 9 = 25.11. Median = middle value in order = 19. Mode = most common = 19. Range = 59 − 3 = 56.
Worked examples
For the data 7, 9, 12, 13, 16, find the mean, median, mode and range.
- Mean = 57 ÷ 5 = 11.4.
- Median = middle value in order = 12.
- Mode = most common = no repeated value.
- Range = 16 − 7 = 9.
- Answer: Mean 11.4, median 12, mode none, range 9
For the data 22, 24, 24, 24, 32, 37, 38, find the mean, median, mode and range.
- Mean = 201 ÷ 7 = 28.71.
- Median = middle value in order = 24.
- Mode = most common = 24.
- Range = 38 − 22 = 16.
- Answer: Mean 28.71, median 24, mode 24, range 16
For the data 1, 12, 21, 21, 24, 31, 32, 39, 46, find the mean, median, mode and range.
- Mean = 227 ÷ 9 = 25.22.
- Median = middle value in order = 24.
- Mode = most common = 21.
- Range = 46 − 1 = 45.
- Answer: Mean 25.22, median 24, mode 21, range 45
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: Visual Models
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: Visual Models 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 Working with Introducing Range Techniques: Worked Examples, Working with Introducing Range Techniques: Step-by-step Method, Rules and Methods in Introducing Range Techniques. 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 Introducing Range Techniques: Visual Models?
- Move on to Working with Introducing Range Techniques: Common Mistakes, Working with Introducing Range Techniques: Real-life Applications, Introduction to Introducing Range Techniques, Key Vocabulary of Introducing Range Techniques, which build directly on this idea.
Related resources
- Free Working with Introducing Range Techniques: Visual Models worksheets
- Free Working with Introducing Range Techniques: Visual Models quizzes
- Free Working with Introducing Range Techniques: Visual Models flashcards
- Free Working with Introducing Range Techniques: Visual Models lesson plans
- Working with Introducing Range Techniques: Visual Models in the knowledge graph
- Free AI Tutor
Stuck on Working with Introducing Range Techniques: Visual Models? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor