Free Grade 3 Working with Introducing Range Techniques Lessons
Free Grade 3 lessons 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
20 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 4, 16, 17, 18, 20, find the mean, median, mode and range.[1]
- 2.For the data 2, 7, 13, 19, 20, find the mean, median, mode and range.[1]
- 3.For the data 8, 16, 17, 18, 19, find the mean, median, mode and range.[1]
- 4.For the data 1, 3, 17, 19, 19, find the mean, median, mode and range.[1]
- 5.For the data 1, 8, 10, 20, 28, 39, 39, find the mean, median, mode and range.[2]
- 6.For the data 3, 5, 6, 14, 17, 23, 23, find the mean, median, mode and range.[2]
- 7.For the data 5, 9, 12, 13, 21, 30, 36, find the mean, median, mode and range.[2]
- 8.For the data 13, 13, 15, 29, 32, 38, 39, find the mean, median, mode and range.[2]
- 9.For the data 6, 10, 11, 17, 19, 24, 38, 39, 57, find the mean, median, mode and range.[3]
- 10.For the data 3, 7, 13, 25, 38, 45, 51, 57, 58, find the mean, median, mode and range.[3]
- 11.For the data 9, 16, 20, 23, 25, 26, 30, 47, 54, find the mean, median, mode and range.[3]
- 12.For the data 3, 4, 14, 21, 32, 41, 43, 52, 55, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 15, median 17, mode none, range 16
Mean = 75 ÷ 5 = 15. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 20 − 4 = 16.
2. Mean 12.2, median 13, mode none, range 18
Mean = 61 ÷ 5 = 12.2. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 20 − 2 = 18.
3. Mean 15.6, median 17, mode none, range 11
Mean = 78 ÷ 5 = 15.6. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 19 − 8 = 11.
4. Mean 11.8, median 17, mode 19, range 18
Mean = 59 ÷ 5 = 11.8. Median = middle value in order = 17. Mode = most common = 19. Range = 19 − 1 = 18.
5. Mean 20.71, median 20, mode 39, range 38
Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 20. Mode = most common = 39. Range = 39 − 1 = 38.
6. Mean 13, median 14, mode 23, range 20
Mean = 91 ÷ 7 = 13. Median = middle value in order = 14. Mode = most common = 23. Range = 23 − 3 = 20.
7. Mean 18, median 13, mode none, range 31
Mean = 126 ÷ 7 = 18. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 36 − 5 = 31.
8. Mean 25.57, median 29, mode 13, range 26
Mean = 179 ÷ 7 = 25.57. Median = middle value in order = 29. Mode = most common = 13. Range = 39 − 13 = 26.
9. Mean 24.56, median 19, mode none, range 51
Mean = 221 ÷ 9 = 24.56. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 57 − 6 = 51.
10. Mean 33, median 38, mode none, range 55
Mean = 297 ÷ 9 = 33. Median = middle value in order = 38. Mode = most common = no repeated value. Range = 58 − 3 = 55.
11. Mean 27.78, median 25, mode none, range 45
Mean = 250 ÷ 9 = 27.78. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 54 − 9 = 45.
12. Mean 29.44, median 32, mode none, range 52
Mean = 265 ÷ 9 = 29.44. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 55 − 3 = 52.
Worked examples
For the data 5, 9, 13, 15, 17, find the mean, median, mode and range.
- Mean = 59 ÷ 5 = 11.8.
- Median = middle value in order = 13.
- Mode = most common = no repeated value.
- Range = 17 − 5 = 12.
- Answer: Mean 11.8, median 13, mode none, range 12
For the data 17, 19, 27, 30, 31, 34, 40, find the mean, median, mode and range.
- Mean = 198 ÷ 7 = 28.29.
- Median = middle value in order = 30.
- Mode = most common = no repeated value.
- Range = 40 − 17 = 23.
- Answer: Mean 28.29, median 30, mode none, range 23
For the data 2, 4, 7, 14, 16, 28, 28, 31, 50, find the mean, median, mode and range.
- Mean = 180 ÷ 9 = 20.
- Median = middle value in order = 16.
- Mode = most common = 28.
- Range = 50 − 2 = 48.
- Answer: Mean 20, median 16, mode 28, range 48
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
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Frequently asked
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- 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 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?
- 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.
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