Free Grade 3 Rules and Methods in Introducing Mode Common Errors Worksheets
Free Grade 3 worksheets for Rules and Methods in 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
Higher
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify rules and methods in introducing mode common errors
Identify rules and methods in introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rules and methods in introducing mode common errors
Explain rules and methods in introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in introducing mode common errors
Calculate rules and methods in introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in introducing mode common errors
Compare rules and methods in 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 Rules and Methods in 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 4, 12, 12, 15, 20, find the mean, median, mode and range.[1]
- 2.For the data 10, 10, 12, 13, 13, find the mean, median, mode and range.[1]
- 3.For the data 2, 8, 9, 10, 14, find the mean, median, mode and range.[1]
- 4.For the data 4, 8, 13, 20, 20, find the mean, median, mode and range.[1]
- 5.For the data 4, 13, 26, 26, 28, 30, 37, find the mean, median, mode and range.[2]
- 6.For the data 1, 4, 4, 31, 32, 33, 35, find the mean, median, mode and range.[2]
- 7.For the data 1, 12, 18, 26, 31, 38, 39, find the mean, median, mode and range.[2]
- 8.For the data 1, 8, 12, 20, 21, 33, 35, find the mean, median, mode and range.[2]
- 9.For the data 1, 5, 17, 17, 23, 28, 30, 31, 32, find the mean, median, mode and range.[3]
- 10.For the data 3, 15, 20, 31, 38, 39, 40, 41, 54, find the mean, median, mode and range.[3]
- 11.For the data 14, 16, 17, 19, 30, 30, 48, 51, 57, find the mean, median, mode and range.[3]
- 12.For the data 9, 10, 13, 26, 33, 35, 35, 53, 55, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12.6, median 12, mode 12, range 16
Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 12. Mode = most common = 12. Range = 20 − 4 = 16.
2. Mean 11.6, median 12, mode 10 and 13, range 3
Mean = 58 ÷ 5 = 11.6. Median = middle value in order = 12. Mode = most common = 10 and 13. Range = 13 − 10 = 3.
3. Mean 8.6, median 9, mode none, range 12
Mean = 43 ÷ 5 = 8.6. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 14 − 2 = 12.
4. Mean 13, median 13, mode 20, range 16
Mean = 65 ÷ 5 = 13. Median = middle value in order = 13. Mode = most common = 20. Range = 20 − 4 = 16.
5. Mean 23.43, median 26, mode 26, range 33
Mean = 164 ÷ 7 = 23.43. Median = middle value in order = 26. Mode = most common = 26. Range = 37 − 4 = 33.
6. Mean 20, median 31, mode 4, range 34
Mean = 140 ÷ 7 = 20. Median = middle value in order = 31. Mode = most common = 4. Range = 35 − 1 = 34.
7. Mean 23.57, median 26, mode none, range 38
Mean = 165 ÷ 7 = 23.57. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 39 − 1 = 38.
8. Mean 18.57, median 20, mode none, range 34
Mean = 130 ÷ 7 = 18.57. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 35 − 1 = 34.
9. Mean 20.44, median 23, mode 17, range 31
Mean = 184 ÷ 9 = 20.44. Median = middle value in order = 23. Mode = most common = 17. Range = 32 − 1 = 31.
10. Mean 31.22, median 38, mode none, range 51
Mean = 281 ÷ 9 = 31.22. Median = middle value in order = 38. Mode = most common = no repeated value. Range = 54 − 3 = 51.
11. Mean 31.33, median 30, mode 30, range 43
Mean = 282 ÷ 9 = 31.33. Median = middle value in order = 30. Mode = most common = 30. Range = 57 − 14 = 43.
12. Mean 29.89, median 33, mode 35, range 46
Mean = 269 ÷ 9 = 29.89. Median = middle value in order = 33. Mode = most common = 35. Range = 55 − 9 = 46.
Worked examples
For the data 2, 8, 11, 13, 20, find the mean, median, mode and range.
- Mean = 54 ÷ 5 = 10.8.
- Median = middle value in order = 11.
- Mode = most common = no repeated value.
- Range = 20 − 2 = 18.
- Answer: Mean 10.8, median 11, mode none, range 18
For the data 1, 1, 5, 6, 27, 29, 38, find the mean, median, mode and range.
- Mean = 107 ÷ 7 = 15.29.
- Median = middle value in order = 6.
- Mode = most common = 1.
- Range = 38 − 1 = 37.
- Answer: Mean 15.29, median 6, mode 1, range 37
For the data 1, 4, 25, 27, 27, 38, 46, 49, 53, find the mean, median, mode and range.
- Mean = 270 ÷ 9 = 30.
- Median = middle value in order = 27.
- Mode = most common = 27.
- Range = 53 − 1 = 52.
- Answer: Mean 30, median 27, mode 27, 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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- What should a learner already know before this?
- Start with Key Vocabulary of Introducing Mode Common Errors, Introduction to Introducing Mode Common Errors, Introducing Mode Word Problems. Each one has its own free lesson, worksheet and quiz.
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- Move on to Working with Introducing Mode Common Errors, Introducing Mode Common Errors in Examinations, Introducing Mode Essentials, Introducing Mode Techniques, which build directly on this idea.
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