Free Grade 3 Working with Introducing Range Techniques: Visual Models Worksheets
Free Grade 3 worksheets for Working with Introducing Range Techniques: Visual Models: 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
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing range techniques: visual models
Identify working with introducing range techniques: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range techniques: visual models
Explain working with introducing range techniques: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range techniques: visual models
Calculate working with introducing range techniques: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range techniques: visual models
Compare working with introducing range techniques: visual models 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: Visual Models 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 1, 3, 5, 11, 19, find the mean, median, mode and range.[1]
- 2.For the data 3, 4, 6, 9, 18, find the mean, median, mode and range.[1]
- 3.For the data 5, 8, 9, 13, 18, find the mean, median, mode and range.[1]
- 4.For the data 11, 12, 16, 17, 19, find the mean, median, mode and range.[1]
- 5.For the data 7, 8, 14, 14, 18, 21, 25, find the mean, median, mode and range.[2]
- 6.For the data 1, 6, 7, 10, 35, 37, 37, find the mean, median, mode and range.[2]
- 7.For the data 3, 6, 10, 11, 26, 33, 38, find the mean, median, mode and range.[2]
- 8.For the data 5, 6, 9, 24, 30, 35, 36, find the mean, median, mode and range.[2]
- 9.For the data 7, 9, 13, 24, 31, 32, 44, 45, 49, find the mean, median, mode and range.[3]
- 10.For the data 1, 5, 18, 19, 27, 29, 42, 52, 52, find the mean, median, mode and range.[3]
- 11.For the data 3, 3, 8, 16, 16, 18, 41, 42, 46, find the mean, median, mode and range.[3]
- 12.For the data 3, 8, 13, 27, 31, 34, 34, 37, 44, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 7.8, median 5, mode none, range 18
Mean = 39 ÷ 5 = 7.8. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 19 − 1 = 18.
2. Mean 8, median 6, mode none, range 15
Mean = 40 ÷ 5 = 8. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 18 − 3 = 15.
3. Mean 10.6, median 9, mode none, range 13
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 18 − 5 = 13.
4. Mean 15, median 16, mode none, range 8
Mean = 75 ÷ 5 = 15. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 19 − 11 = 8.
5. Mean 15.29, median 14, mode 14, range 18
Mean = 107 ÷ 7 = 15.29. Median = middle value in order = 14. Mode = most common = 14. Range = 25 − 7 = 18.
6. Mean 19, median 10, mode 37, range 36
Mean = 133 ÷ 7 = 19. Median = middle value in order = 10. Mode = most common = 37. Range = 37 − 1 = 36.
7. Mean 18.14, median 11, mode none, range 35
Mean = 127 ÷ 7 = 18.14. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 38 − 3 = 35.
8. Mean 20.71, median 24, mode none, range 31
Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 36 − 5 = 31.
9. Mean 28.22, median 31, mode none, range 42
Mean = 254 ÷ 9 = 28.22. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 49 − 7 = 42.
10. Mean 27.22, median 27, mode 52, range 51
Mean = 245 ÷ 9 = 27.22. Median = middle value in order = 27. Mode = most common = 52. Range = 52 − 1 = 51.
11. Mean 21.44, median 16, mode 3 and 16, range 43
Mean = 193 ÷ 9 = 21.44. Median = middle value in order = 16. Mode = most common = 3 and 16. Range = 46 − 3 = 43.
12. Mean 25.67, median 31, mode 34, range 41
Mean = 231 ÷ 9 = 25.67. Median = middle value in order = 31. Mode = most common = 34. Range = 44 − 3 = 41.
Worked examples
For the data 6, 8, 9, 13, 19, find the mean, median, mode and range.
- Mean = 55 ÷ 5 = 11.
- Median = middle value in order = 9.
- Mode = most common = no repeated value.
- Range = 19 − 6 = 13.
- Answer: Mean 11, median 9, mode none, range 13
For the data 2, 15, 16, 21, 22, 30, 38, find the mean, median, mode and range.
- Mean = 144 ÷ 7 = 20.57.
- Median = middle value in order = 21.
- Mode = most common = no repeated value.
- Range = 38 − 2 = 36.
- Answer: Mean 20.57, median 21, mode none, range 36
For the data 22, 29, 30, 31, 34, 38, 42, 48, 60, find the mean, median, mode and range.
- Mean = 334 ÷ 9 = 37.11.
- Median = middle value in order = 34.
- Mode = most common = no repeated value.
- Range = 60 − 22 = 38.
- Answer: Mean 37.11, median 34, mode none, range 38
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 Working with Introducing Range Techniques: Worked Examples, Working with Introducing Range Techniques: Step-by-step Method, Rules and Methods in Introducing Range Techniques. Each one has its own free lesson, worksheet and quiz.
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