Free Grade 3 Rules and Methods in Introducing Range Essentials Lessons
Free Grade 3 lessons 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 6, 7, 13, 18, 20, find the mean, median, mode and range.[1]
- 2.For the data 3, 10, 16, 20, 20, find the mean, median, mode and range.[1]
- 3.For the data 7, 11, 14, 14, 17, find the mean, median, mode and range.[1]
- 4.For the data 5, 6, 7, 13, 19, find the mean, median, mode and range.[1]
- 5.For the data 15, 18, 18, 18, 31, 36, 40, find the mean, median, mode and range.[2]
- 6.For the data 2, 7, 8, 14, 18, 32, 36, find the mean, median, mode and range.[2]
- 7.For the data 2, 4, 6, 15, 19, 39, 40, find the mean, median, mode and range.[2]
- 8.For the data 5, 7, 14, 19, 19, 27, 32, find the mean, median, mode and range.[2]
- 9.For the data 18, 19, 21, 23, 25, 26, 33, 52, 56, find the mean, median, mode and range.[3]
- 10.For the data 13, 15, 27, 32, 40, 48, 51, 56, 56, find the mean, median, mode and range.[3]
- 11.For the data 6, 7, 13, 16, 16, 46, 48, 51, 53, find the mean, median, mode and range.[3]
- 12.For the data 3, 10, 16, 17, 22, 36, 37, 40, 56, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12.8, median 13, mode none, range 14
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 20 − 6 = 14.
2. Mean 13.8, median 16, mode 20, range 17
Mean = 69 ÷ 5 = 13.8. Median = middle value in order = 16. Mode = most common = 20. Range = 20 − 3 = 17.
3. Mean 12.6, median 14, mode 14, range 10
Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 14. Mode = most common = 14. Range = 17 − 7 = 10.
4. Mean 10, median 7, mode none, range 14
Mean = 50 ÷ 5 = 10. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 19 − 5 = 14.
5. Mean 25.14, median 18, mode 18, range 25
Mean = 176 ÷ 7 = 25.14. Median = middle value in order = 18. Mode = most common = 18. Range = 40 − 15 = 25.
6. Mean 16.71, median 14, mode none, range 34
Mean = 117 ÷ 7 = 16.71. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 36 − 2 = 34.
7. Mean 17.86, median 15, mode none, range 38
Mean = 125 ÷ 7 = 17.86. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 40 − 2 = 38.
8. Mean 17.57, median 19, mode 19, range 27
Mean = 123 ÷ 7 = 17.57. Median = middle value in order = 19. Mode = most common = 19. Range = 32 − 5 = 27.
9. Mean 30.33, median 25, mode none, range 38
Mean = 273 ÷ 9 = 30.33. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 56 − 18 = 38.
10. Mean 37.56, median 40, mode 56, range 43
Mean = 338 ÷ 9 = 37.56. Median = middle value in order = 40. Mode = most common = 56. Range = 56 − 13 = 43.
11. Mean 28.44, median 16, mode 16, range 47
Mean = 256 ÷ 9 = 28.44. Median = middle value in order = 16. Mode = most common = 16. Range = 53 − 6 = 47.
12. Mean 26.33, median 22, mode none, range 53
Mean = 237 ÷ 9 = 26.33. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 56 − 3 = 53.
Worked examples
For the data 2, 2, 3, 12, 20, find the mean, median, mode and range.
- Mean = 39 ÷ 5 = 7.8.
- Median = middle value in order = 3.
- Mode = most common = 2.
- Range = 20 − 2 = 18.
- Answer: Mean 7.8, median 3, mode 2, range 18
For the data 17, 25, 31, 33, 33, 34, 37, find the mean, median, mode and range.
- Mean = 210 ÷ 7 = 30.
- Median = middle value in order = 33.
- Mode = most common = 33.
- Range = 37 − 17 = 20.
- Answer: Mean 30, median 33, mode 33, range 20
For the data 5, 24, 27, 37, 38, 38, 48, 54, 56, find the mean, median, mode and range.
- Mean = 327 ÷ 9 = 36.33.
- Median = middle value in order = 38.
- Mode = most common = 38.
- Range = 56 − 5 = 51.
- Answer: Mean 36.33, median 38, mode 38, range 51
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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- Start with Key Vocabulary of Introducing Range Essentials, Introduction to Introducing Range Essentials, Mode. Each one has its own free lesson, worksheet and quiz.
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- 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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