Free Grade 3 Working with Introducing Range Common Errors: Visual Models Worksheets
Free Grade 3 worksheets for Working with Introducing Range Common Errors: 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
Foundation
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing range common errors: visual models
Identify working with introducing range common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range common errors: visual models
Explain working with introducing range common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range common errors: visual models
Calculate working with introducing range common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range common errors: visual models
Compare working with introducing range common errors: 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 Common Errors: 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, 5, 6, 9, 19, find the mean, median, mode and range.[1]
- 2.For the data 4, 9, 13, 17, 20, find the mean, median, mode and range.[1]
- 3.For the data 2, 5, 11, 14, 18, find the mean, median, mode and range.[1]
- 4.For the data 2, 2, 9, 15, 18, find the mean, median, mode and range.[1]
- 5.For the data 4, 6, 6, 8, 29, 31, 33, find the mean, median, mode and range.[2]
- 6.For the data 8, 8, 31, 31, 32, 35, 39, find the mean, median, mode and range.[2]
- 7.For the data 11, 14, 15, 17, 22, 24, 31, find the mean, median, mode and range.[2]
- 8.For the data 17, 18, 22, 29, 31, 34, 36, find the mean, median, mode and range.[2]
- 9.For the data 9, 9, 29, 33, 34, 46, 47, 51, 54, find the mean, median, mode and range.[3]
- 10.For the data 13, 22, 27, 31, 31, 38, 38, 45, 48, find the mean, median, mode and range.[3]
- 11.For the data 4, 7, 15, 31, 35, 36, 38, 44, 51, find the mean, median, mode and range.[3]
- 12.For the data 10, 11, 15, 19, 20, 43, 44, 51, 57, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 8, median 6, mode none, range 18
Mean = 40 ÷ 5 = 8. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 19 − 1 = 18.
2. Mean 12.6, median 13, mode none, range 16
Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 20 − 4 = 16.
3. Mean 10, median 11, mode none, range 16
Mean = 50 ÷ 5 = 10. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 18 − 2 = 16.
4. Mean 9.2, median 9, mode 2, range 16
Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 9. Mode = most common = 2. Range = 18 − 2 = 16.
5. Mean 16.71, median 8, mode 6, range 29
Mean = 117 ÷ 7 = 16.71. Median = middle value in order = 8. Mode = most common = 6. Range = 33 − 4 = 29.
6. Mean 26.29, median 31, mode 8 and 31, range 31
Mean = 184 ÷ 7 = 26.29. Median = middle value in order = 31. Mode = most common = 8 and 31. Range = 39 − 8 = 31.
7. Mean 19.14, median 17, mode none, range 20
Mean = 134 ÷ 7 = 19.14. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 31 − 11 = 20.
8. Mean 26.71, median 29, mode none, range 19
Mean = 187 ÷ 7 = 26.71. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 36 − 17 = 19.
9. Mean 34.67, median 34, mode 9, range 45
Mean = 312 ÷ 9 = 34.67. Median = middle value in order = 34. Mode = most common = 9. Range = 54 − 9 = 45.
10. Mean 32.56, median 31, mode 31 and 38, range 35
Mean = 293 ÷ 9 = 32.56. Median = middle value in order = 31. Mode = most common = 31 and 38. Range = 48 − 13 = 35.
11. Mean 29, median 35, mode none, range 47
Mean = 261 ÷ 9 = 29. Median = middle value in order = 35. Mode = most common = no repeated value. Range = 51 − 4 = 47.
12. Mean 30, median 20, mode none, range 47
Mean = 270 ÷ 9 = 30. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 57 − 10 = 47.
Worked examples
For the data 1, 2, 5, 10, 18, find the mean, median, mode and range.
- Mean = 36 ÷ 5 = 7.2.
- Median = middle value in order = 5.
- Mode = most common = no repeated value.
- Range = 18 − 1 = 17.
- Answer: Mean 7.2, median 5, mode none, range 17
For the data 7, 20, 22, 23, 24, 26, 35, find the mean, median, mode and range.
- Mean = 157 ÷ 7 = 22.43.
- Median = middle value in order = 23.
- Mode = most common = no repeated value.
- Range = 35 − 7 = 28.
- Answer: Mean 22.43, median 23, mode none, range 28
For the data 8, 8, 11, 21, 28, 30, 31, 50, 59, find the mean, median, mode and range.
- Mean = 246 ÷ 9 = 27.33.
- Median = middle value in order = 28.
- Mode = most common = 8.
- Range = 59 − 8 = 51.
- Answer: Mean 27.33, median 28, mode 8, 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.
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