Free Grade 3 What is Working with Introducing Range Common Errors Worksheets
Free Grade 3 worksheets for What is Working with Introducing Range Common Errors: 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify what is working with introducing range common errors
Identify what is working with introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain what is working with introducing range common errors
Explain what is working with introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate what is working with introducing range common errors
Calculate what is working with introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare what is working with introducing range common errors
Compare what is working with introducing range common errors 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 What is Working with Introducing Range Common Errors 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 3, 6, 10, 13, 16, find the mean, median, mode and range.[1]
- 2.For the data 3, 10, 15, 16, 17, find the mean, median, mode and range.[1]
- 3.For the data 1, 2, 9, 11, 12, find the mean, median, mode and range.[1]
- 4.For the data 5, 8, 9, 19, 20, find the mean, median, mode and range.[1]
- 5.For the data 6, 9, 12, 12, 27, 31, 39, find the mean, median, mode and range.[2]
- 6.For the data 10, 22, 24, 25, 29, 35, 39, find the mean, median, mode and range.[2]
- 7.For the data 1, 9, 23, 23, 24, 29, 36, find the mean, median, mode and range.[2]
- 8.For the data 9, 17, 20, 27, 29, 31, 39, find the mean, median, mode and range.[2]
- 9.For the data 8, 18, 20, 21, 38, 41, 54, 57, 60, find the mean, median, mode and range.[3]
- 10.For the data 16, 21, 31, 34, 45, 50, 50, 53, 55, find the mean, median, mode and range.[3]
- 11.For the data 20, 24, 25, 26, 29, 30, 30, 41, 42, find the mean, median, mode and range.[3]
- 12.For the data 4, 5, 17, 17, 22, 42, 50, 50, 60, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9.6, median 10, mode none, range 13
Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 16 − 3 = 13.
2. Mean 12.2, median 15, mode none, range 14
Mean = 61 ÷ 5 = 12.2. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 17 − 3 = 14.
3. Mean 7, median 9, mode none, range 11
Mean = 35 ÷ 5 = 7. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 12 − 1 = 11.
4. Mean 12.2, median 9, mode none, range 15
Mean = 61 ÷ 5 = 12.2. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 20 − 5 = 15.
5. Mean 19.43, median 12, mode 12, range 33
Mean = 136 ÷ 7 = 19.43. Median = middle value in order = 12. Mode = most common = 12. Range = 39 − 6 = 33.
6. Mean 26.29, median 25, mode none, range 29
Mean = 184 ÷ 7 = 26.29. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 39 − 10 = 29.
7. Mean 20.71, median 23, mode 23, range 35
Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 23. Mode = most common = 23. Range = 36 − 1 = 35.
8. Mean 24.57, median 27, mode none, range 30
Mean = 172 ÷ 7 = 24.57. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 39 − 9 = 30.
9. Mean 35.22, median 38, mode none, range 52
Mean = 317 ÷ 9 = 35.22. Median = middle value in order = 38. Mode = most common = no repeated value. Range = 60 − 8 = 52.
10. Mean 39.44, median 45, mode 50, range 39
Mean = 355 ÷ 9 = 39.44. Median = middle value in order = 45. Mode = most common = 50. Range = 55 − 16 = 39.
11. Mean 29.67, median 29, mode 30, range 22
Mean = 267 ÷ 9 = 29.67. Median = middle value in order = 29. Mode = most common = 30. Range = 42 − 20 = 22.
12. Mean 29.67, median 22, mode 17 and 50, range 56
Mean = 267 ÷ 9 = 29.67. Median = middle value in order = 22. Mode = most common = 17 and 50. Range = 60 − 4 = 56.
Worked examples
For the data 1, 4, 6, 7, 12, find the mean, median, mode and range.
- Mean = 30 ÷ 5 = 6.
- Median = middle value in order = 6.
- Mode = most common = no repeated value.
- Range = 12 − 1 = 11.
- Answer: Mean 6, median 6, mode none, range 11
For the data 6, 26, 26, 27, 32, 33, 36, find the mean, median, mode and range.
- Mean = 186 ÷ 7 = 26.57.
- Median = middle value in order = 27.
- Mode = most common = 26.
- Range = 36 − 6 = 30.
- Answer: Mean 26.57, median 27, mode 26, range 30
For the data 8, 28, 29, 34, 35, 40, 40, 56, 57, find the mean, median, mode and range.
- Mean = 327 ÷ 9 = 36.33.
- Median = middle value in order = 35.
- Mode = most common = 40.
- Range = 57 − 8 = 49.
- Answer: Mean 36.33, median 35, mode 40, range 49
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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Frequently asked
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- What should a learner already know before this?
- Start with Rules and Methods in Introducing Range Common Errors. Each one has its own free lesson, worksheet and quiz.
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- Move on to Working with Introducing Range Common Errors: Step-by-step Method, Working with Introducing Range Common Errors: Worked Examples, Working with Introducing Range Common Errors: Visual Models, Working with Introducing Range Common Errors: Common Mistakes, which build directly on this idea.
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