Free Grade 3 Introducing Range Common Errors in Examinations Worksheets
Free Grade 3 worksheets for Introducing Range Common Errors 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
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing range common errors in examinations
Identify introducing range common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing range common errors in examinations
Explain introducing range common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing range common errors in examinations
Calculate introducing range common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing range common errors in examinations
Compare introducing range common errors 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 Common Errors 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 1, 3, 8, 9, 11, find the mean, median, mode and range.[1]
- 2.For the data 11, 12, 15, 18, 19, find the mean, median, mode and range.[1]
- 3.For the data 1, 5, 8, 13, 20, find the mean, median, mode and range.[1]
- 4.For the data 2, 2, 10, 17, 19, find the mean, median, mode and range.[1]
- 5.For the data 7, 14, 16, 19, 23, 33, 33, find the mean, median, mode and range.[2]
- 6.For the data 2, 2, 2, 3, 9, 13, 15, find the mean, median, mode and range.[2]
- 7.For the data 4, 13, 20, 28, 28, 31, 32, find the mean, median, mode and range.[2]
- 8.For the data 1, 18, 20, 21, 23, 23, 27, find the mean, median, mode and range.[2]
- 9.For the data 4, 4, 7, 9, 13, 32, 37, 49, 54, find the mean, median, mode and range.[3]
- 10.For the data 13, 13, 18, 23, 36, 38, 45, 51, 54, find the mean, median, mode and range.[3]
- 11.For the data 2, 13, 19, 20, 23, 33, 36, 46, 48, find the mean, median, mode and range.[3]
- 12.For the data 14, 20, 24, 25, 30, 33, 51, 53, 58, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 6.4, median 8, mode none, range 10
Mean = 32 ÷ 5 = 6.4. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 11 − 1 = 10.
2. Mean 15, median 15, mode none, range 8
Mean = 75 ÷ 5 = 15. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 19 − 11 = 8.
3. Mean 9.4, median 8, mode none, range 19
Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 20 − 1 = 19.
4. Mean 10, median 10, mode 2, range 17
Mean = 50 ÷ 5 = 10. Median = middle value in order = 10. Mode = most common = 2. Range = 19 − 2 = 17.
5. Mean 20.71, median 19, mode 33, range 26
Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 19. Mode = most common = 33. Range = 33 − 7 = 26.
6. Mean 6.57, median 3, mode 2, range 13
Mean = 46 ÷ 7 = 6.57. Median = middle value in order = 3. Mode = most common = 2. Range = 15 − 2 = 13.
7. Mean 22.29, median 28, mode 28, range 28
Mean = 156 ÷ 7 = 22.29. Median = middle value in order = 28. Mode = most common = 28. Range = 32 − 4 = 28.
8. Mean 19, median 21, mode 23, range 26
Mean = 133 ÷ 7 = 19. Median = middle value in order = 21. Mode = most common = 23. Range = 27 − 1 = 26.
9. Mean 23.22, median 13, mode 4, range 50
Mean = 209 ÷ 9 = 23.22. Median = middle value in order = 13. Mode = most common = 4. Range = 54 − 4 = 50.
10. Mean 32.33, median 36, mode 13, range 41
Mean = 291 ÷ 9 = 32.33. Median = middle value in order = 36. Mode = most common = 13. Range = 54 − 13 = 41.
11. Mean 26.67, median 23, mode none, range 46
Mean = 240 ÷ 9 = 26.67. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 48 − 2 = 46.
12. Mean 34.22, median 30, mode none, range 44
Mean = 308 ÷ 9 = 34.22. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 58 − 14 = 44.
Worked examples
For the data 6, 7, 8, 11, 16, find the mean, median, mode and range.
- Mean = 48 ÷ 5 = 9.6.
- Median = middle value in order = 8.
- Mode = most common = no repeated value.
- Range = 16 − 6 = 10.
- Answer: Mean 9.6, median 8, mode none, range 10
For the data 2, 5, 9, 17, 18, 20, 26, find the mean, median, mode and range.
- Mean = 97 ÷ 7 = 13.86.
- Median = middle value in order = 17.
- Mode = most common = no repeated value.
- Range = 26 − 2 = 24.
- Answer: Mean 13.86, median 17, mode none, range 24
For the data 24, 26, 39, 40, 46, 47, 49, 56, 56, find the mean, median, mode and range.
- Mean = 383 ÷ 9 = 42.56.
- Median = middle value in order = 46.
- Mode = most common = 56.
- Range = 56 − 24 = 32.
- Answer: Mean 42.56, median 46, mode 56, range 32
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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- Start with Working with Introducing Range Common Errors, Rules and Methods in Introducing Range Common Errors, Introducing Range Word Problems. Each one has its own free lesson, worksheet and quiz.
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- What comes next after Introducing Range Common Errors in Examinations?
- Move on to Introducing Range Essentials, Introducing Range Techniques, Introducing Range Word Problems, which build directly on this idea.
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