Free Grade 3 Introducing Range Essentials in Examinations Lesson Plans
Free Grade 3 lesson plans for Introducing Range Essentials in Examinations: 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing range essentials in examinations
Identify introducing range essentials in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing range essentials in examinations
Explain introducing range essentials in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing range essentials in examinations
Calculate introducing range essentials in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing range essentials in examinations
Compare introducing range essentials in examinations 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 Introducing Range Essentials in Examinations 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 5, 12, 15, 15, 17, find the mean, median, mode and range.[1]
- 2.For the data 2, 6, 7, 9, 13, find the mean, median, mode and range.[1]
- 3.For the data 8, 11, 13, 15, 16, find the mean, median, mode and range.[1]
- 4.For the data 5, 6, 15, 17, 20, find the mean, median, mode and range.[1]
- 5.For the data 29, 31, 32, 33, 34, 36, 37, find the mean, median, mode and range.[2]
- 6.For the data 3, 4, 5, 25, 27, 27, 32, find the mean, median, mode and range.[2]
- 7.For the data 4, 12, 20, 20, 30, 37, 38, find the mean, median, mode and range.[2]
- 8.For the data 6, 9, 15, 19, 20, 20, 34, find the mean, median, mode and range.[2]
- 9.For the data 3, 13, 15, 19, 19, 22, 22, 24, 30, find the mean, median, mode and range.[3]
- 10.For the data 2, 9, 30, 37, 43, 43, 43, 49, 52, find the mean, median, mode and range.[3]
- 11.For the data 20, 22, 29, 47, 49, 54, 56, 57, 59, find the mean, median, mode and range.[3]
- 12.For the data 1, 3, 14, 21, 24, 28, 40, 43, 46, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12.8, median 15, mode 15, range 12
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 15. Mode = most common = 15. Range = 17 − 5 = 12.
2. Mean 7.4, median 7, mode none, range 11
Mean = 37 ÷ 5 = 7.4. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 13 − 2 = 11.
3. Mean 12.6, median 13, mode none, range 8
Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 16 − 8 = 8.
4. Mean 12.6, median 15, mode none, range 15
Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 20 − 5 = 15.
5. Mean 33.14, median 33, mode none, range 8
Mean = 232 ÷ 7 = 33.14. Median = middle value in order = 33. Mode = most common = no repeated value. Range = 37 − 29 = 8.
6. Mean 17.57, median 25, mode 27, range 29
Mean = 123 ÷ 7 = 17.57. Median = middle value in order = 25. Mode = most common = 27. Range = 32 − 3 = 29.
7. Mean 23, median 20, mode 20, range 34
Mean = 161 ÷ 7 = 23. Median = middle value in order = 20. Mode = most common = 20. Range = 38 − 4 = 34.
8. Mean 17.57, median 19, mode 20, range 28
Mean = 123 ÷ 7 = 17.57. Median = middle value in order = 19. Mode = most common = 20. Range = 34 − 6 = 28.
9. Mean 18.56, median 19, mode 19 and 22, range 27
Mean = 167 ÷ 9 = 18.56. Median = middle value in order = 19. Mode = most common = 19 and 22. Range = 30 − 3 = 27.
10. Mean 34.22, median 43, mode 43, range 50
Mean = 308 ÷ 9 = 34.22. Median = middle value in order = 43. Mode = most common = 43. Range = 52 − 2 = 50.
11. Mean 43.67, median 49, mode none, range 39
Mean = 393 ÷ 9 = 43.67. Median = middle value in order = 49. Mode = most common = no repeated value. Range = 59 − 20 = 39.
12. Mean 24.44, median 24, mode none, range 45
Mean = 220 ÷ 9 = 24.44. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 46 − 1 = 45.
Worked examples
For the data 1, 11, 12, 13, 15, find the mean, median, mode and range.
- Mean = 52 ÷ 5 = 10.4.
- Median = middle value in order = 12.
- Mode = most common = no repeated value.
- Range = 15 − 1 = 14.
- Answer: Mean 10.4, median 12, mode none, range 14
For the data 6, 15, 20, 25, 28, 39, 39, find the mean, median, mode and range.
- Mean = 172 ÷ 7 = 24.57.
- Median = middle value in order = 25.
- Mode = most common = 39.
- Range = 39 − 6 = 33.
- Answer: Mean 24.57, median 25, mode 39, range 33
For the data 11, 22, 22, 33, 34, 38, 44, 52, 53, find the mean, median, mode and range.
- Mean = 309 ÷ 9 = 34.33.
- Median = middle value in order = 34.
- Mode = most common = 22.
- Range = 53 − 11 = 42.
- Answer: Mean 34.33, median 34, mode 22, 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
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- Start with Working with Introducing Range Essentials, Rules and Methods in Introducing Range Essentials, Mode. Each one has its own free lesson, worksheet and quiz.
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- What comes next after Introducing Range Essentials in Examinations?
- Move on to Introducing Range Techniques, Introducing Range Word Problems, Introducing Range Common Errors, which build directly on this idea.
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