Free Grade 3 Working with Introducing Mode Common Errors Quizzes
Free Grade 3 quizzes for Working with Introducing Mode 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
Stretch
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing mode common errors
Identify working with introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing mode common errors
Explain working with introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing mode common errors
Calculate working with introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing mode common errors
Compare working with introducing mode 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 Working with Introducing Mode 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, 12, 12, 14, 18, find the mean, median, mode and range.[1]
- 2.For the data 2, 8, 10, 13, 17, find the mean, median, mode and range.[1]
- 3.For the data 1, 5, 11, 12, 20, find the mean, median, mode and range.[1]
- 4.For the data 1, 8, 10, 11, 19, find the mean, median, mode and range.[1]
- 5.For the data 2, 4, 5, 9, 18, 36, 38, find the mean, median, mode and range.[2]
- 6.For the data 6, 12, 14, 14, 15, 28, 34, find the mean, median, mode and range.[2]
- 7.For the data 7, 18, 18, 22, 24, 35, 39, find the mean, median, mode and range.[2]
- 8.For the data 1, 8, 12, 18, 19, 23, 39, find the mean, median, mode and range.[2]
- 9.For the data 5, 6, 11, 22, 28, 33, 33, 47, 59, find the mean, median, mode and range.[3]
- 10.For the data 6, 7, 7, 18, 21, 35, 44, 45, 46, find the mean, median, mode and range.[3]
- 11.For the data 3, 37, 42, 44, 44, 51, 56, 58, 60, find the mean, median, mode and range.[3]
- 12.For the data 7, 7, 10, 25, 32, 45, 47, 49, 57, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 11.8, median 12, mode 12, range 15
Mean = 59 ÷ 5 = 11.8. Median = middle value in order = 12. Mode = most common = 12. Range = 18 − 3 = 15.
2. Mean 10, median 10, mode none, range 15
Mean = 50 ÷ 5 = 10. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 17 − 2 = 15.
3. Mean 9.8, median 11, mode none, range 19
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 20 − 1 = 19.
4. Mean 9.8, median 10, mode none, range 18
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 19 − 1 = 18.
5. Mean 16, median 9, mode none, range 36
Mean = 112 ÷ 7 = 16. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 38 − 2 = 36.
6. Mean 17.57, median 14, mode 14, range 28
Mean = 123 ÷ 7 = 17.57. Median = middle value in order = 14. Mode = most common = 14. Range = 34 − 6 = 28.
7. Mean 23.29, median 22, mode 18, range 32
Mean = 163 ÷ 7 = 23.29. Median = middle value in order = 22. Mode = most common = 18. Range = 39 − 7 = 32.
8. Mean 17.14, median 18, mode none, range 38
Mean = 120 ÷ 7 = 17.14. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 39 − 1 = 38.
9. Mean 27.11, median 28, mode 33, range 54
Mean = 244 ÷ 9 = 27.11. Median = middle value in order = 28. Mode = most common = 33. Range = 59 − 5 = 54.
10. Mean 25.44, median 21, mode 7, range 40
Mean = 229 ÷ 9 = 25.44. Median = middle value in order = 21. Mode = most common = 7. Range = 46 − 6 = 40.
11. Mean 43.89, median 44, mode 44, range 57
Mean = 395 ÷ 9 = 43.89. Median = middle value in order = 44. Mode = most common = 44. Range = 60 − 3 = 57.
12. Mean 31, median 32, mode 7, range 50
Mean = 279 ÷ 9 = 31. Median = middle value in order = 32. Mode = most common = 7. Range = 57 − 7 = 50.
Worked examples
For the data 2, 2, 10, 16, 18, find the mean, median, mode and range.
- Mean = 48 ÷ 5 = 9.6.
- Median = middle value in order = 10.
- Mode = most common = 2.
- Range = 18 − 2 = 16.
- Answer: Mean 9.6, median 10, mode 2, range 16
For the data 21, 21, 25, 27, 27, 28, 31, find the mean, median, mode and range.
- Mean = 180 ÷ 7 = 25.71.
- Median = middle value in order = 27.
- Mode = most common = 21 and 27.
- Range = 31 − 21 = 10.
- Answer: Mean 25.71, median 27, mode 21 and 27, range 10
For the data 5, 17, 18, 32, 36, 39, 39, 56, 57, find the mean, median, mode and range.
- Mean = 299 ÷ 9 = 33.22.
- Median = middle value in order = 36.
- Mode = most common = 39.
- Range = 57 − 5 = 52.
- Answer: Mean 33.22, median 36, mode 39, range 52
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 Mode Common Errors, Key Vocabulary of Introducing Mode Common Errors, Introducing Mode Word Problems. Each one has its own free lesson, worksheet and quiz.
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- What comes next after Working with Introducing Mode Common Errors?
- Move on to Introducing Mode Common Errors in Examinations, Introducing Mode Essentials, Introducing Mode Techniques, Introducing Mode Word Problems, which build directly on this idea.
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