Free Grade 3 Rules and Methods in Introducing Range Essentials Worksheets
Free Grade 3 worksheets for Rules and Methods in Introducing Range Essentials: 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
30 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 essentials
Identify rules and methods in introducing range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rules and methods in introducing range essentials
Explain rules and methods in introducing range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in introducing range essentials
Calculate rules and methods in introducing range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in introducing range essentials
Compare rules and methods in introducing range essentials 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 Essentials 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, 10, 11, 15, 17, find the mean, median, mode and range.[1]
- 2.For the data 4, 4, 13, 16, 20, find the mean, median, mode and range.[1]
- 3.For the data 6, 13, 15, 17, 18, find the mean, median, mode and range.[1]
- 4.For the data 6, 10, 12, 13, 19, find the mean, median, mode and range.[1]
- 5.For the data 2, 7, 34, 35, 39, 39, 39, find the mean, median, mode and range.[2]
- 6.For the data 5, 9, 11, 26, 31, 36, 36, find the mean, median, mode and range.[2]
- 7.For the data 1, 13, 14, 16, 28, 30, 38, find the mean, median, mode and range.[2]
- 8.For the data 2, 9, 23, 28, 28, 31, 34, find the mean, median, mode and range.[2]
- 9.For the data 8, 15, 17, 24, 39, 41, 47, 56, 60, find the mean, median, mode and range.[3]
- 10.For the data 10, 16, 26, 33, 44, 45, 53, 58, 59, find the mean, median, mode and range.[3]
- 11.For the data 4, 9, 27, 29, 46, 47, 49, 54, 54, find the mean, median, mode and range.[3]
- 12.For the data 5, 6, 12, 12, 13, 30, 47, 56, 57, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12, median 11, mode none, range 10
Mean = 60 ÷ 5 = 12. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 17 − 7 = 10.
2. Mean 11.4, median 13, mode 4, range 16
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 13. Mode = most common = 4. Range = 20 − 4 = 16.
3. Mean 13.8, median 15, mode none, range 12
Mean = 69 ÷ 5 = 13.8. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 18 − 6 = 12.
4. Mean 12, median 12, mode none, range 13
Mean = 60 ÷ 5 = 12. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 19 − 6 = 13.
5. Mean 27.86, median 35, mode 39, range 37
Mean = 195 ÷ 7 = 27.86. Median = middle value in order = 35. Mode = most common = 39. Range = 39 − 2 = 37.
6. Mean 22, median 26, mode 36, range 31
Mean = 154 ÷ 7 = 22. Median = middle value in order = 26. Mode = most common = 36. Range = 36 − 5 = 31.
7. Mean 20, median 16, mode none, range 37
Mean = 140 ÷ 7 = 20. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 38 − 1 = 37.
8. Mean 22.14, median 28, mode 28, range 32
Mean = 155 ÷ 7 = 22.14. Median = middle value in order = 28. Mode = most common = 28. Range = 34 − 2 = 32.
9. Mean 34.11, median 39, mode none, range 52
Mean = 307 ÷ 9 = 34.11. Median = middle value in order = 39. Mode = most common = no repeated value. Range = 60 − 8 = 52.
10. Mean 38.22, median 44, mode none, range 49
Mean = 344 ÷ 9 = 38.22. Median = middle value in order = 44. Mode = most common = no repeated value. Range = 59 − 10 = 49.
11. Mean 35.44, median 46, mode 54, range 50
Mean = 319 ÷ 9 = 35.44. Median = middle value in order = 46. Mode = most common = 54. Range = 54 − 4 = 50.
12. Mean 26.44, median 13, mode 12, range 52
Mean = 238 ÷ 9 = 26.44. Median = middle value in order = 13. Mode = most common = 12. Range = 57 − 5 = 52.
Worked examples
For the data 4, 4, 6, 18, 20, find the mean, median, mode and range.
- Mean = 52 ÷ 5 = 10.4.
- Median = middle value in order = 6.
- Mode = most common = 4.
- Range = 20 − 4 = 16.
- Answer: Mean 10.4, median 6, mode 4, range 16
For the data 7, 13, 14, 16, 33, 39, 39, find the mean, median, mode and range.
- Mean = 161 ÷ 7 = 23.
- Median = middle value in order = 16.
- Mode = most common = 39.
- Range = 39 − 7 = 32.
- Answer: Mean 23, median 16, mode 39, range 32
For the data 6, 12, 19, 20, 30, 33, 41, 49, 51, find the mean, median, mode and range.
- Mean = 261 ÷ 9 = 29.
- Median = middle value in order = 30.
- Mode = most common = no repeated value.
- Range = 51 − 6 = 45.
- Answer: Mean 29, median 30, mode none, 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
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Frequently asked
- Is this Grade 3 Rules and Methods in Introducing Range Essentials worksheet really free?
- Yes. Every worksheets 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 Key Vocabulary of Introducing Range Essentials, Introduction to Introducing Range Essentials, Mode. 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 Essentials?
- Move on to Working with Introducing Range Essentials, Introducing Range Essentials in Examinations, Introducing Range Techniques, Introducing Range Word Problems, which build directly on this idea.
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