Free Grade 3 Rules and Methods in Introducing Range Techniques Lessons
Free Grade 3 lessons 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 3, 9, 11, 14, 19, find the mean, median, mode and range.[1]
- 2.For the data 3, 9, 11, 17, 20, find the mean, median, mode and range.[1]
- 3.For the data 1, 7, 8, 12, 17, find the mean, median, mode and range.[1]
- 4.For the data 2, 13, 17, 18, 19, find the mean, median, mode and range.[1]
- 5.For the data 9, 10, 15, 27, 30, 39, 40, find the mean, median, mode and range.[2]
- 6.For the data 1, 13, 13, 15, 16, 33, 38, find the mean, median, mode and range.[2]
- 7.For the data 17, 19, 21, 23, 28, 29, 38, find the mean, median, mode and range.[2]
- 8.For the data 7, 11, 21, 31, 32, 32, 33, find the mean, median, mode and range.[2]
- 9.For the data 3, 8, 11, 18, 22, 26, 30, 36, 58, find the mean, median, mode and range.[3]
- 10.For the data 6, 35, 36, 37, 41, 41, 41, 43, 60, find the mean, median, mode and range.[3]
- 11.For the data 10, 29, 36, 37, 37, 37, 41, 49, 60, find the mean, median, mode and range.[3]
- 12.For the data 2, 2, 12, 27, 32, 35, 41, 41, 47, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 11.2, median 11, mode none, range 16
Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 19 − 3 = 16.
2. Mean 12, median 11, mode none, range 17
Mean = 60 ÷ 5 = 12. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 20 − 3 = 17.
3. Mean 9, median 8, mode none, range 16
Mean = 45 ÷ 5 = 9. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 17 − 1 = 16.
4. Mean 13.8, median 17, mode none, range 17
Mean = 69 ÷ 5 = 13.8. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 19 − 2 = 17.
5. Mean 24.29, median 27, mode none, range 31
Mean = 170 ÷ 7 = 24.29. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 40 − 9 = 31.
6. Mean 18.43, median 15, mode 13, range 37
Mean = 129 ÷ 7 = 18.43. Median = middle value in order = 15. Mode = most common = 13. Range = 38 − 1 = 37.
7. Mean 25, median 23, mode none, range 21
Mean = 175 ÷ 7 = 25. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 38 − 17 = 21.
8. Mean 23.86, median 31, mode 32, range 26
Mean = 167 ÷ 7 = 23.86. Median = middle value in order = 31. Mode = most common = 32. Range = 33 − 7 = 26.
9. Mean 23.56, median 22, mode none, range 55
Mean = 212 ÷ 9 = 23.56. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 58 − 3 = 55.
10. Mean 37.78, median 41, mode 41, range 54
Mean = 340 ÷ 9 = 37.78. Median = middle value in order = 41. Mode = most common = 41. Range = 60 − 6 = 54.
11. Mean 37.33, median 37, mode 37, range 50
Mean = 336 ÷ 9 = 37.33. Median = middle value in order = 37. Mode = most common = 37. Range = 60 − 10 = 50.
12. Mean 26.56, median 32, mode 2 and 41, range 45
Mean = 239 ÷ 9 = 26.56. Median = middle value in order = 32. Mode = most common = 2 and 41. Range = 47 − 2 = 45.
Worked examples
For the data 4, 4, 5, 6, 14, find the mean, median, mode and range.
- Mean = 33 ÷ 5 = 6.6.
- Median = middle value in order = 5.
- Mode = most common = 4.
- Range = 14 − 4 = 10.
- Answer: Mean 6.6, median 5, mode 4, range 10
For the data 3, 6, 14, 21, 36, 38, 40, find the mean, median, mode and range.
- Mean = 158 ÷ 7 = 22.57.
- Median = middle value in order = 21.
- Mode = most common = no repeated value.
- Range = 40 − 3 = 37.
- Answer: Mean 22.57, median 21, mode none, range 37
For the data 6, 8, 22, 35, 35, 52, 52, 52, 54, find the mean, median, mode and range.
- Mean = 316 ÷ 9 = 35.11.
- Median = middle value in order = 35.
- Mode = most common = 52.
- Range = 54 − 6 = 48.
- Answer: Mean 35.11, median 35, mode 52, 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.
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- 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.
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- 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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