Free Grade 3 Introduction to Introducing Mode Common Errors Lessons
Free Grade 3 lessons for Introduction to 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introduction to introducing mode common errors
Identify introduction to introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introduction to introducing mode common errors
Explain introduction to introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to introducing mode common errors
Calculate introduction to introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to introducing mode common errors
Compare introduction to 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 Introduction to 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, 7, 11, 16, 20, find the mean, median, mode and range.[1]
- 2.For the data 5, 6, 8, 13, 15, find the mean, median, mode and range.[1]
- 3.For the data 3, 7, 7, 12, 20, find the mean, median, mode and range.[1]
- 4.For the data 8, 16, 19, 20, 20, find the mean, median, mode and range.[1]
- 5.For the data 6, 7, 12, 16, 26, 32, 39, find the mean, median, mode and range.[2]
- 6.For the data 3, 13, 16, 28, 30, 34, 35, find the mean, median, mode and range.[2]
- 7.For the data 2, 13, 15, 31, 31, 35, 38, find the mean, median, mode and range.[2]
- 8.For the data 7, 8, 9, 21, 27, 33, 35, find the mean, median, mode and range.[2]
- 9.For the data 1, 3, 12, 19, 24, 30, 51, 53, 55, find the mean, median, mode and range.[3]
- 10.For the data 1, 5, 6, 12, 12, 27, 29, 42, 48, find the mean, median, mode and range.[3]
- 11.For the data 1, 20, 25, 45, 46, 49, 49, 54, 56, find the mean, median, mode and range.[3]
- 12.For the data 6, 11, 11, 18, 40, 40, 41, 45, 53, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 11.6, median 11, mode none, range 16
Mean = 58 ÷ 5 = 11.6. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 20 − 4 = 16.
2. Mean 9.4, median 8, mode none, range 10
Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 15 − 5 = 10.
3. Mean 9.8, median 7, mode 7, range 17
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 7. Mode = most common = 7. Range = 20 − 3 = 17.
4. Mean 16.6, median 19, mode 20, range 12
Mean = 83 ÷ 5 = 16.6. Median = middle value in order = 19. Mode = most common = 20. Range = 20 − 8 = 12.
5. Mean 19.71, median 16, mode none, range 33
Mean = 138 ÷ 7 = 19.71. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 39 − 6 = 33.
6. Mean 22.71, median 28, mode none, range 32
Mean = 159 ÷ 7 = 22.71. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 35 − 3 = 32.
7. Mean 23.57, median 31, mode 31, range 36
Mean = 165 ÷ 7 = 23.57. Median = middle value in order = 31. Mode = most common = 31. Range = 38 − 2 = 36.
8. Mean 20, median 21, mode none, range 28
Mean = 140 ÷ 7 = 20. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 35 − 7 = 28.
9. Mean 27.56, median 24, mode none, range 54
Mean = 248 ÷ 9 = 27.56. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 55 − 1 = 54.
10. Mean 20.22, median 12, mode 12, range 47
Mean = 182 ÷ 9 = 20.22. Median = middle value in order = 12. Mode = most common = 12. Range = 48 − 1 = 47.
11. Mean 38.33, median 46, mode 49, range 55
Mean = 345 ÷ 9 = 38.33. Median = middle value in order = 46. Mode = most common = 49. Range = 56 − 1 = 55.
12. Mean 29.44, median 40, mode 11 and 40, range 47
Mean = 265 ÷ 9 = 29.44. Median = middle value in order = 40. Mode = most common = 11 and 40. Range = 53 − 6 = 47.
Worked examples
For the data 5, 14, 15, 16, 19, find the mean, median, mode and range.
- Mean = 69 ÷ 5 = 13.8.
- Median = middle value in order = 15.
- Mode = most common = no repeated value.
- Range = 19 − 5 = 14.
- Answer: Mean 13.8, median 15, mode none, range 14
For the data 12, 12, 17, 20, 23, 25, 27, find the mean, median, mode and range.
- Mean = 136 ÷ 7 = 19.43.
- Median = middle value in order = 20.
- Mode = most common = 12.
- Range = 27 − 12 = 15.
- Answer: Mean 19.43, median 20, mode 12, range 15
For the data 1, 20, 23, 27, 32, 37, 45, 47, 47, find the mean, median, mode and range.
- Mean = 279 ÷ 9 = 31.
- Median = middle value in order = 32.
- Mode = most common = 47.
- Range = 47 − 1 = 46.
- Answer: Mean 31, median 32, mode 47, 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.
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- What should a learner already know before this?
- Start with Introducing Mode Word Problems. Each one has its own free lesson, worksheet and quiz.
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- Move on to Key Vocabulary of Introducing Mode Common Errors, Rules and Methods in Introducing Mode Common Errors, Working with Introducing Mode Common Errors, Introducing Mode Common Errors in Examinations, which build directly on this idea.
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