Free Grade 3 Introducing Range Common Errors in Examinations Quizzes
Free Grade 3 quizzes 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
Core
25 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 4, 5, 8, 14, 16, find the mean, median, mode and range.[1]
- 2.For the data 4, 7, 10, 19, 19, find the mean, median, mode and range.[1]
- 3.For the data 2, 3, 8, 12, 15, find the mean, median, mode and range.[1]
- 4.For the data 6, 6, 11, 17, 20, find the mean, median, mode and range.[1]
- 5.For the data 1, 5, 14, 17, 20, 32, 34, find the mean, median, mode and range.[2]
- 6.For the data 2, 12, 13, 14, 19, 33, 37, find the mean, median, mode and range.[2]
- 7.For the data 2, 3, 7, 15, 20, 24, 40, find the mean, median, mode and range.[2]
- 8.For the data 2, 2, 7, 9, 13, 37, 37, find the mean, median, mode and range.[2]
- 9.For the data 1, 2, 4, 22, 24, 28, 45, 57, 60, find the mean, median, mode and range.[3]
- 10.For the data 10, 10, 12, 16, 16, 26, 33, 37, 57, find the mean, median, mode and range.[3]
- 11.For the data 1, 3, 6, 8, 9, 13, 14, 51, 53, find the mean, median, mode and range.[3]
- 12.For the data 1, 5, 16, 19, 21, 32, 35, 37, 47, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9.4, median 8, mode none, range 12
Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 16 − 4 = 12.
2. Mean 11.8, median 10, mode 19, range 15
Mean = 59 ÷ 5 = 11.8. Median = middle value in order = 10. Mode = most common = 19. Range = 19 − 4 = 15.
3. Mean 8, median 8, mode none, range 13
Mean = 40 ÷ 5 = 8. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 15 − 2 = 13.
4. Mean 12, median 11, mode 6, range 14
Mean = 60 ÷ 5 = 12. Median = middle value in order = 11. Mode = most common = 6. Range = 20 − 6 = 14.
5. Mean 17.57, median 17, mode none, range 33
Mean = 123 ÷ 7 = 17.57. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 34 − 1 = 33.
6. Mean 18.57, median 14, mode none, range 35
Mean = 130 ÷ 7 = 18.57. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 37 − 2 = 35.
7. Mean 15.86, median 15, mode none, range 38
Mean = 111 ÷ 7 = 15.86. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 40 − 2 = 38.
8. Mean 15.29, median 9, mode 2 and 37, range 35
Mean = 107 ÷ 7 = 15.29. Median = middle value in order = 9. Mode = most common = 2 and 37. Range = 37 − 2 = 35.
9. Mean 27, median 24, mode none, range 59
Mean = 243 ÷ 9 = 27. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 60 − 1 = 59.
10. Mean 24.11, median 16, mode 10 and 16, range 47
Mean = 217 ÷ 9 = 24.11. Median = middle value in order = 16. Mode = most common = 10 and 16. Range = 57 − 10 = 47.
11. Mean 17.56, median 9, mode none, range 52
Mean = 158 ÷ 9 = 17.56. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 53 − 1 = 52.
12. Mean 23.67, median 21, mode none, range 46
Mean = 213 ÷ 9 = 23.67. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 47 − 1 = 46.
Worked examples
For the data 1, 1, 6, 15, 19, find the mean, median, mode and range.
- Mean = 42 ÷ 5 = 8.4.
- Median = middle value in order = 6.
- Mode = most common = 1.
- Range = 19 − 1 = 18.
- Answer: Mean 8.4, median 6, mode 1, range 18
For the data 4, 10, 19, 23, 25, 25, 30, find the mean, median, mode and range.
- Mean = 136 ÷ 7 = 19.43.
- Median = middle value in order = 23.
- Mode = most common = 25.
- Range = 30 − 4 = 26.
- Answer: Mean 19.43, median 23, mode 25, range 26
For the data 4, 6, 9, 20, 23, 26, 27, 33, 50, find the mean, median, mode and range.
- Mean = 198 ÷ 9 = 22.
- Median = middle value in order = 23.
- Mode = most common = no repeated value.
- Range = 50 − 4 = 46.
- Answer: Mean 22, median 23, mode none, range 46
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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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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- Move on to Introducing Range Essentials, Introducing Range Techniques, Introducing Range Word Problems, which build directly on this idea.
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