Free Grade 3 Working with Introducing Range Techniques: Worked Examples Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Range Techniques: Worked Examples: 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
Core
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing range techniques: worked examples
Explain working with introducing range techniques: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range techniques: worked examples
Calculate working with introducing range techniques: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range techniques: worked examples
Compare working with introducing range techniques: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing range techniques: worked examples
Justify working with introducing range techniques: worked examples 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 Working with Introducing Range Techniques: Worked Examples 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, 8, 13, 14, 18, find the mean, median, mode and range.[1]
- 2.For the data 8, 10, 10, 11, 19, find the mean, median, mode and range.[1]
- 3.For the data 1, 5, 9, 12, 14, find the mean, median, mode and range.[1]
- 4.For the data 1, 2, 4, 10, 20, find the mean, median, mode and range.[1]
- 5.For the data 9, 10, 18, 23, 33, 37, 39, find the mean, median, mode and range.[2]
- 6.For the data 8, 8, 16, 22, 32, 38, 39, find the mean, median, mode and range.[2]
- 7.For the data 9, 10, 11, 16, 24, 26, 30, find the mean, median, mode and range.[2]
- 8.For the data 4, 12, 15, 20, 22, 31, 34, find the mean, median, mode and range.[2]
- 9.For the data 11, 22, 30, 32, 49, 49, 53, 60, 60, find the mean, median, mode and range.[3]
- 10.For the data 9, 11, 22, 29, 34, 47, 55, 56, 58, find the mean, median, mode and range.[3]
- 11.For the data 3, 8, 9, 28, 30, 32, 47, 50, 57, find the mean, median, mode and range.[3]
- 12.For the data 6, 15, 17, 19, 20, 32, 43, 43, 51, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12, median 13, mode none, range 11
Mean = 60 ÷ 5 = 12. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 18 − 7 = 11.
2. Mean 11.6, median 10, mode 10, range 11
Mean = 58 ÷ 5 = 11.6. Median = middle value in order = 10. Mode = most common = 10. Range = 19 − 8 = 11.
3. Mean 8.2, median 9, mode none, range 13
Mean = 41 ÷ 5 = 8.2. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 14 − 1 = 13.
4. Mean 7.4, median 4, mode none, range 19
Mean = 37 ÷ 5 = 7.4. Median = middle value in order = 4. Mode = most common = no repeated value. Range = 20 − 1 = 19.
5. Mean 24.14, median 23, mode none, range 30
Mean = 169 ÷ 7 = 24.14. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 39 − 9 = 30.
6. Mean 23.29, median 22, mode 8, range 31
Mean = 163 ÷ 7 = 23.29. Median = middle value in order = 22. Mode = most common = 8. Range = 39 − 8 = 31.
7. Mean 18, median 16, mode none, range 21
Mean = 126 ÷ 7 = 18. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 30 − 9 = 21.
8. Mean 19.71, median 20, mode none, range 30
Mean = 138 ÷ 7 = 19.71. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 34 − 4 = 30.
9. Mean 40.67, median 49, mode 49 and 60, range 49
Mean = 366 ÷ 9 = 40.67. Median = middle value in order = 49. Mode = most common = 49 and 60. Range = 60 − 11 = 49.
10. Mean 35.67, median 34, mode none, range 49
Mean = 321 ÷ 9 = 35.67. Median = middle value in order = 34. Mode = most common = no repeated value. Range = 58 − 9 = 49.
11. Mean 29.33, median 30, mode none, range 54
Mean = 264 ÷ 9 = 29.33. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 57 − 3 = 54.
12. Mean 27.33, median 20, mode 43, range 45
Mean = 246 ÷ 9 = 27.33. Median = middle value in order = 20. Mode = most common = 43. Range = 51 − 6 = 45.
Worked examples
For the data 2, 3, 10, 11, 17, find the mean, median, mode and range.
- Mean = 43 ÷ 5 = 8.6.
- Median = middle value in order = 10.
- Mode = most common = no repeated value.
- Range = 17 − 2 = 15.
- Answer: Mean 8.6, median 10, mode none, range 15
For the data 5, 8, 13, 22, 34, 39, 39, find the mean, median, mode and range.
- Mean = 160 ÷ 7 = 22.86.
- Median = middle value in order = 22.
- Mode = most common = 39.
- Range = 39 − 5 = 34.
- Answer: Mean 22.86, median 22, mode 39, range 34
For the data 1, 8, 14, 16, 20, 20, 25, 41, 41, find the mean, median, mode and range.
- Mean = 186 ÷ 9 = 20.67.
- Median = middle value in order = 20.
- Mode = most common = 20 and 41.
- Range = 41 − 1 = 40.
- Answer: Mean 20.67, median 20, mode 20 and 41, range 40
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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