Free Grade 3 Introducing Range Techniques Quizzes
Free Grade 3 quizzes for 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
Core
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing range techniques
Identify introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing range techniques
Explain introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing range techniques
Calculate introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing range techniques
Compare 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 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 3, 4, 5, 9, 11, find the mean, median, mode and range.[1]
- 2.For the data 6, 8, 12, 14, 15, find the mean, median, mode and range.[1]
- 3.For the data 5, 13, 14, 16, 20, find the mean, median, mode and range.[1]
- 4.For the data 6, 7, 8, 9, 20, find the mean, median, mode and range.[1]
- 5.For the data 9, 10, 11, 15, 18, 20, 38, find the mean, median, mode and range.[2]
- 6.For the data 2, 6, 7, 10, 12, 25, 36, find the mean, median, mode and range.[2]
- 7.For the data 3, 22, 23, 23, 24, 36, 40, find the mean, median, mode and range.[2]
- 8.For the data 6, 9, 11, 27, 31, 32, 35, find the mean, median, mode and range.[2]
- 9.For the data 1, 3, 5, 11, 17, 24, 25, 35, 48, find the mean, median, mode and range.[3]
- 10.For the data 1, 4, 5, 9, 16, 33, 39, 41, 58, find the mean, median, mode and range.[3]
- 11.For the data 17, 26, 34, 38, 41, 44, 46, 54, 57, find the mean, median, mode and range.[3]
- 12.For the data 8, 21, 27, 31, 32, 39, 41, 45, 51, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 6.4, median 5, mode none, range 8
Mean = 32 ÷ 5 = 6.4. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 11 − 3 = 8.
2. Mean 11, median 12, mode none, range 9
Mean = 55 ÷ 5 = 11. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 15 − 6 = 9.
3. Mean 13.6, median 14, mode none, range 15
Mean = 68 ÷ 5 = 13.6. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 20 − 5 = 15.
4. Mean 10, median 8, mode none, range 14
Mean = 50 ÷ 5 = 10. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 20 − 6 = 14.
5. Mean 17.29, median 15, mode none, range 29
Mean = 121 ÷ 7 = 17.29. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 38 − 9 = 29.
6. Mean 14, median 10, mode none, range 34
Mean = 98 ÷ 7 = 14. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 36 − 2 = 34.
7. Mean 24.43, median 23, mode 23, range 37
Mean = 171 ÷ 7 = 24.43. Median = middle value in order = 23. Mode = most common = 23. Range = 40 − 3 = 37.
8. Mean 21.57, median 27, mode none, range 29
Mean = 151 ÷ 7 = 21.57. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 35 − 6 = 29.
9. Mean 18.78, median 17, mode none, range 47
Mean = 169 ÷ 9 = 18.78. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 48 − 1 = 47.
10. Mean 22.89, median 16, mode none, range 57
Mean = 206 ÷ 9 = 22.89. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 58 − 1 = 57.
11. Mean 39.67, median 41, mode none, range 40
Mean = 357 ÷ 9 = 39.67. Median = middle value in order = 41. Mode = most common = no repeated value. Range = 57 − 17 = 40.
12. Mean 32.78, median 32, mode none, range 43
Mean = 295 ÷ 9 = 32.78. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 51 − 8 = 43.
Worked examples
For the data 2, 4, 9, 14, 16, find the mean, median, mode and range.
- Mean = 45 ÷ 5 = 9.
- Median = middle value in order = 9.
- Mode = most common = no repeated value.
- Range = 16 − 2 = 14.
- Answer: Mean 9, median 9, mode none, range 14
For the data 4, 6, 14, 16, 21, 33, 40, find the mean, median, mode and range.
- Mean = 134 ÷ 7 = 19.14.
- Median = middle value in order = 16.
- Mode = most common = no repeated value.
- Range = 40 − 4 = 36.
- Answer: Mean 19.14, median 16, mode none, range 36
For the data 5, 8, 13, 17, 18, 36, 48, 52, 55, find the mean, median, mode and range.
- Mean = 252 ÷ 9 = 28.
- Median = middle value in order = 18.
- Mode = most common = no repeated value.
- Range = 55 − 5 = 50.
- Answer: Mean 28, median 18, mode none, range 50
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 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 Introducing Range Techniques quiz really free?
- Yes. Every quizzes 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 Essentials, Mode. Each one has its own free lesson, worksheet and quiz.
- How is the quiz 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 Introducing Range Techniques?
- Move on to Introducing Range Word Problems, Introducing Range Common Errors, Working with Range, Range in Context, which build directly on this idea.
Related resources
Stuck on Introducing Range Techniques? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor