Free Grade 3 Rules and Methods in Introducing Range Techniques Worksheets
Free Grade 3 worksheets for Rules and Methods in 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
Foundation
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify rules and methods in introducing range techniques
Identify rules and methods in introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rules and methods in introducing range techniques
Explain rules and methods in introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in introducing range techniques
Calculate rules and methods in introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in introducing range techniques
Compare rules and methods in 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 Rules and Methods in 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 7, 9, 11, 12, 19, find the mean, median, mode and range.[1]
- 2.For the data 3, 8, 15, 18, 20, find the mean, median, mode and range.[1]
- 3.For the data 4, 14, 16, 18, 19, find the mean, median, mode and range.[1]
- 4.For the data 3, 13, 13, 18, 19, find the mean, median, mode and range.[1]
- 5.For the data 2, 3, 7, 16, 18, 19, 30, find the mean, median, mode and range.[2]
- 6.For the data 22, 26, 30, 32, 34, 37, 39, find the mean, median, mode and range.[2]
- 7.For the data 7, 10, 14, 15, 16, 19, 22, find the mean, median, mode and range.[2]
- 8.For the data 1, 10, 15, 16, 27, 27, 38, find the mean, median, mode and range.[2]
- 9.For the data 18, 18, 19, 21, 38, 41, 43, 49, 53, find the mean, median, mode and range.[3]
- 10.For the data 6, 18, 23, 30, 37, 38, 45, 57, 59, find the mean, median, mode and range.[3]
- 11.For the data 3, 32, 47, 51, 51, 52, 53, 56, 57, find the mean, median, mode and range.[3]
- 12.For the data 8, 12, 42, 42, 44, 51, 52, 55, 58, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 11.6, median 11, mode none, range 12
Mean = 58 ÷ 5 = 11.6. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 19 − 7 = 12.
2. Mean 12.8, median 15, mode none, range 17
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 20 − 3 = 17.
3. Mean 14.2, median 16, mode none, range 15
Mean = 71 ÷ 5 = 14.2. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 19 − 4 = 15.
4. Mean 13.2, median 13, mode 13, range 16
Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 13. Mode = most common = 13. Range = 19 − 3 = 16.
5. Mean 13.57, median 16, mode none, range 28
Mean = 95 ÷ 7 = 13.57. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 30 − 2 = 28.
6. Mean 31.43, median 32, mode none, range 17
Mean = 220 ÷ 7 = 31.43. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 39 − 22 = 17.
7. Mean 14.71, median 15, mode none, range 15
Mean = 103 ÷ 7 = 14.71. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 22 − 7 = 15.
8. Mean 19.14, median 16, mode 27, range 37
Mean = 134 ÷ 7 = 19.14. Median = middle value in order = 16. Mode = most common = 27. Range = 38 − 1 = 37.
9. Mean 33.33, median 38, mode 18, range 35
Mean = 300 ÷ 9 = 33.33. Median = middle value in order = 38. Mode = most common = 18. Range = 53 − 18 = 35.
10. Mean 34.78, median 37, mode none, range 53
Mean = 313 ÷ 9 = 34.78. Median = middle value in order = 37. Mode = most common = no repeated value. Range = 59 − 6 = 53.
11. Mean 44.67, median 51, mode 51, range 54
Mean = 402 ÷ 9 = 44.67. Median = middle value in order = 51. Mode = most common = 51. Range = 57 − 3 = 54.
12. Mean 40.44, median 44, mode 42, range 50
Mean = 364 ÷ 9 = 40.44. Median = middle value in order = 44. Mode = most common = 42. Range = 58 − 8 = 50.
Worked examples
For the data 1, 15, 17, 18, 20, find the mean, median, mode and range.
- Mean = 71 ÷ 5 = 14.2.
- Median = middle value in order = 17.
- Mode = most common = no repeated value.
- Range = 20 − 1 = 19.
- Answer: Mean 14.2, median 17, mode none, range 19
For the data 10, 16, 18, 18, 19, 25, 28, find the mean, median, mode and range.
- Mean = 134 ÷ 7 = 19.14.
- Median = middle value in order = 18.
- Mode = most common = 18.
- Range = 28 − 10 = 18.
- Answer: Mean 19.14, median 18, mode 18, range 18
For the data 8, 9, 13, 20, 25, 29, 30, 33, 50, find the mean, median, mode and range.
- Mean = 217 ÷ 9 = 24.11.
- Median = middle value in order = 25.
- Mode = most common = no repeated value.
- Range = 50 − 8 = 42.
- Answer: Mean 24.11, median 25, mode none, 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.
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Frequently asked
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- What should a learner already know before this?
- Start with Key Vocabulary of Introducing Range Techniques, Introduction to 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 Rules and Methods in Introducing Range Techniques?
- Move on to Working with Introducing Range Techniques, Introducing Range Techniques in Examinations, Introducing Range Essentials, Introducing Range Word Problems, which build directly on this idea.
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