Free Grade 3 Introducing Mode Common Errors Lessons
Free Grade 3 lessons for 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing mode common errors
Identify introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing mode common errors
Explain introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing mode common errors
Calculate introducing mode common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing mode common errors
Compare 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 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, 3, 18, 19, 20, find the mean, median, mode and range.[1]
- 2.For the data 1, 4, 5, 12, 15, find the mean, median, mode and range.[1]
- 3.For the data 2, 6, 8, 9, 17, find the mean, median, mode and range.[1]
- 4.For the data 4, 9, 11, 15, 20, find the mean, median, mode and range.[1]
- 5.For the data 8, 12, 29, 30, 30, 37, 40, find the mean, median, mode and range.[2]
- 6.For the data 8, 19, 20, 24, 28, 35, 38, find the mean, median, mode and range.[2]
- 7.For the data 3, 13, 13, 23, 25, 30, 38, find the mean, median, mode and range.[2]
- 8.For the data 7, 8, 8, 21, 21, 25, 28, find the mean, median, mode and range.[2]
- 9.For the data 5, 8, 9, 9, 17, 21, 39, 41, 42, find the mean, median, mode and range.[3]
- 10.For the data 17, 25, 32, 35, 38, 39, 42, 44, 58, find the mean, median, mode and range.[3]
- 11.For the data 9, 13, 20, 27, 34, 47, 47, 48, 58, find the mean, median, mode and range.[3]
- 12.For the data 7, 10, 22, 25, 34, 35, 40, 49, 52, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12.6, median 18, mode 3, range 17
Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 18. Mode = most common = 3. Range = 20 − 3 = 17.
2. Mean 7.4, median 5, mode none, range 14
Mean = 37 ÷ 5 = 7.4. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 15 − 1 = 14.
3. Mean 8.4, median 8, mode none, range 15
Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 17 − 2 = 15.
4. Mean 11.8, median 11, mode none, range 16
Mean = 59 ÷ 5 = 11.8. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 20 − 4 = 16.
5. Mean 26.57, median 30, mode 30, range 32
Mean = 186 ÷ 7 = 26.57. Median = middle value in order = 30. Mode = most common = 30. Range = 40 − 8 = 32.
6. Mean 24.57, median 24, mode none, range 30
Mean = 172 ÷ 7 = 24.57. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 38 − 8 = 30.
7. Mean 20.71, median 23, mode 13, range 35
Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 23. Mode = most common = 13. Range = 38 − 3 = 35.
8. Mean 16.86, median 21, mode 8 and 21, range 21
Mean = 118 ÷ 7 = 16.86. Median = middle value in order = 21. Mode = most common = 8 and 21. Range = 28 − 7 = 21.
9. Mean 21.22, median 17, mode 9, range 37
Mean = 191 ÷ 9 = 21.22. Median = middle value in order = 17. Mode = most common = 9. Range = 42 − 5 = 37.
10. Mean 36.67, median 38, mode none, range 41
Mean = 330 ÷ 9 = 36.67. Median = middle value in order = 38. Mode = most common = no repeated value. Range = 58 − 17 = 41.
11. Mean 33.67, median 34, mode 47, range 49
Mean = 303 ÷ 9 = 33.67. Median = middle value in order = 34. Mode = most common = 47. Range = 58 − 9 = 49.
12. Mean 30.44, median 34, mode none, range 45
Mean = 274 ÷ 9 = 30.44. Median = middle value in order = 34. Mode = most common = no repeated value. Range = 52 − 7 = 45.
Worked examples
For the data 2, 4, 12, 14, 20, find the mean, median, mode and range.
- Mean = 52 ÷ 5 = 10.4.
- Median = middle value in order = 12.
- Mode = most common = no repeated value.
- Range = 20 − 2 = 18.
- Answer: Mean 10.4, median 12, mode none, range 18
For the data 8, 14, 22, 23, 25, 40, 40, find the mean, median, mode and range.
- Mean = 172 ÷ 7 = 24.57.
- Median = middle value in order = 23.
- Mode = most common = 40.
- Range = 40 − 8 = 32.
- Answer: Mean 24.57, median 23, mode 40, range 32
For the data 12, 19, 20, 20, 34, 41, 43, 51, 53, find the mean, median, mode and range.
- Mean = 293 ÷ 9 = 32.56.
- Median = middle value in order = 34.
- Mode = most common = 20.
- Range = 53 − 12 = 41.
- Answer: Mean 32.56, median 34, mode 20, range 41
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
- Is this Grade 3 Introducing Mode Common Errors lesson really free?
- Yes. Every lessons on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Introducing Mode Word Problems, Introducing Mode Techniques, Median. Each one has its own free lesson, worksheet and quiz.
- How is the lesson sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Introducing Mode Common Errors?
- Move on to Working with Mode, Mode in Context, which build directly on this idea.
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