Free Grade 3 Working with Introducing Range Techniques Lesson Plans
Free Grade 3 lesson plans 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
30 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, 9, 14, 18, 19, find the mean, median, mode and range.[1]
- 2.For the data 5, 8, 9, 11, 12, find the mean, median, mode and range.[1]
- 3.For the data 1, 4, 12, 19, 19, find the mean, median, mode and range.[1]
- 4.For the data 3, 8, 8, 9, 19, find the mean, median, mode and range.[1]
- 5.For the data 1, 1, 3, 6, 15, 18, 36, find the mean, median, mode and range.[2]
- 6.For the data 10, 11, 11, 20, 28, 29, 37, find the mean, median, mode and range.[2]
- 7.For the data 4, 15, 19, 21, 21, 33, 35, find the mean, median, mode and range.[2]
- 8.For the data 2, 6, 7, 18, 20, 21, 32, find the mean, median, mode and range.[2]
- 9.For the data 5, 11, 16, 17, 29, 29, 39, 41, 58, find the mean, median, mode and range.[3]
- 10.For the data 16, 20, 21, 29, 42, 42, 53, 54, 59, find the mean, median, mode and range.[3]
- 11.For the data 32, 41, 44, 45, 46, 50, 51, 55, 55, find the mean, median, mode and range.[3]
- 12.For the data 1, 7, 14, 15, 37, 42, 46, 58, 60, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12.2, median 14, mode none, range 18
Mean = 61 ÷ 5 = 12.2. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 19 − 1 = 18.
2. Mean 9, median 9, mode none, range 7
Mean = 45 ÷ 5 = 9. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 12 − 5 = 7.
3. Mean 11, median 12, mode 19, range 18
Mean = 55 ÷ 5 = 11. Median = middle value in order = 12. Mode = most common = 19. Range = 19 − 1 = 18.
4. Mean 9.4, median 8, mode 8, range 16
Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 8. Mode = most common = 8. Range = 19 − 3 = 16.
5. Mean 11.43, median 6, mode 1, range 35
Mean = 80 ÷ 7 = 11.43. Median = middle value in order = 6. Mode = most common = 1. Range = 36 − 1 = 35.
6. Mean 20.86, median 20, mode 11, range 27
Mean = 146 ÷ 7 = 20.86. Median = middle value in order = 20. Mode = most common = 11. Range = 37 − 10 = 27.
7. Mean 21.14, median 21, mode 21, range 31
Mean = 148 ÷ 7 = 21.14. Median = middle value in order = 21. Mode = most common = 21. Range = 35 − 4 = 31.
8. Mean 15.14, median 18, mode none, range 30
Mean = 106 ÷ 7 = 15.14. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 32 − 2 = 30.
9. Mean 27.22, median 29, mode 29, range 53
Mean = 245 ÷ 9 = 27.22. Median = middle value in order = 29. Mode = most common = 29. Range = 58 − 5 = 53.
10. Mean 37.33, median 42, mode 42, range 43
Mean = 336 ÷ 9 = 37.33. Median = middle value in order = 42. Mode = most common = 42. Range = 59 − 16 = 43.
11. Mean 46.56, median 46, mode 55, range 23
Mean = 419 ÷ 9 = 46.56. Median = middle value in order = 46. Mode = most common = 55. Range = 55 − 32 = 23.
12. Mean 31.11, median 37, mode none, range 59
Mean = 280 ÷ 9 = 31.11. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 60 − 1 = 59.
Worked examples
For the data 1, 2, 4, 5, 11, find the mean, median, mode and range.
- Mean = 23 ÷ 5 = 4.6.
- Median = middle value in order = 4.
- Mode = most common = no repeated value.
- Range = 11 − 1 = 10.
- Answer: Mean 4.6, median 4, mode none, range 10
For the data 3, 15, 17, 18, 26, 29, 34, find the mean, median, mode and range.
- Mean = 142 ÷ 7 = 20.29.
- Median = middle value in order = 18.
- Mode = most common = no repeated value.
- Range = 34 − 3 = 31.
- Answer: Mean 20.29, median 18, mode none, range 31
For the data 8, 9, 11, 21, 21, 28, 32, 43, 50, find the mean, median, mode and range.
- Mean = 223 ÷ 9 = 24.78.
- Median = middle value in order = 21.
- Mode = most common = 21.
- Range = 50 − 8 = 42.
- Answer: Mean 24.78, median 21, mode 21, range 42
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
- Is this Grade 3 Working with Introducing Range Techniques lesson plan really free?
- Yes. Every lesson plans 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 lesson plan 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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