Free Grade 3 Working with Range Common Errors Lesson Plans
Free Grade 3 lesson plans for Working with Range 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 working with range common errors
Identify working with range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with range common errors
Explain working with range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with range common errors
Calculate working with range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with range common errors
Compare working with range 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 Range 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, 10, 14, 16, find the mean, median, mode and range.[1]
- 2.For the data 3, 9, 12, 18, 18, find the mean, median, mode and range.[1]
- 3.For the data 9, 11, 15, 18, 19, find the mean, median, mode and range.[1]
- 4.For the data 8, 9, 10, 10, 20, find the mean, median, mode and range.[1]
- 5.For the data 3, 13, 17, 24, 33, 36, 39, find the mean, median, mode and range.[2]
- 6.For the data 7, 8, 18, 18, 33, 34, 36, find the mean, median, mode and range.[2]
- 7.For the data 6, 12, 19, 22, 26, 27, 33, find the mean, median, mode and range.[2]
- 8.For the data 1, 6, 11, 21, 24, 28, 35, find the mean, median, mode and range.[2]
- 9.For the data 4, 6, 8, 8, 37, 40, 43, 51, 52, find the mean, median, mode and range.[3]
- 10.For the data 3, 7, 17, 25, 26, 38, 45, 56, 60, find the mean, median, mode and range.[3]
- 11.For the data 8, 11, 18, 26, 36, 44, 47, 53, 57, find the mean, median, mode and range.[3]
- 12.For the data 5, 5, 9, 19, 23, 29, 35, 40, 47, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9.2, median 10, mode 3, range 13
Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 10. Mode = most common = 3. Range = 16 − 3 = 13.
2. Mean 12, median 12, mode 18, range 15
Mean = 60 ÷ 5 = 12. Median = middle value in order = 12. Mode = most common = 18. Range = 18 − 3 = 15.
3. Mean 14.4, median 15, mode none, range 10
Mean = 72 ÷ 5 = 14.4. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 19 − 9 = 10.
4. Mean 11.4, median 10, mode 10, range 12
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 10. Mode = most common = 10. Range = 20 − 8 = 12.
5. Mean 23.57, median 24, mode none, range 36
Mean = 165 ÷ 7 = 23.57. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 39 − 3 = 36.
6. Mean 22, median 18, mode 18, range 29
Mean = 154 ÷ 7 = 22. Median = middle value in order = 18. Mode = most common = 18. Range = 36 − 7 = 29.
7. Mean 20.71, median 22, mode none, range 27
Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 33 − 6 = 27.
8. Mean 18, median 21, mode none, range 34
Mean = 126 ÷ 7 = 18. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 35 − 1 = 34.
9. Mean 27.67, median 37, mode 8, range 48
Mean = 249 ÷ 9 = 27.67. Median = middle value in order = 37. Mode = most common = 8. Range = 52 − 4 = 48.
10. Mean 30.78, median 26, mode none, range 57
Mean = 277 ÷ 9 = 30.78. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 60 − 3 = 57.
11. Mean 33.33, median 36, mode none, range 49
Mean = 300 ÷ 9 = 33.33. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 57 − 8 = 49.
12. Mean 23.56, median 23, mode 5, range 42
Mean = 212 ÷ 9 = 23.56. Median = middle value in order = 23. Mode = most common = 5. Range = 47 − 5 = 42.
Worked examples
For the data 1, 4, 8, 14, 16, find the mean, median, mode and range.
- Mean = 43 ÷ 5 = 8.6.
- Median = middle value in order = 8.
- Mode = most common = no repeated value.
- Range = 16 − 1 = 15.
- Answer: Mean 8.6, median 8, mode none, range 15
For the data 3, 9, 17, 21, 25, 30, 33, find the mean, median, mode and range.
- Mean = 138 ÷ 7 = 19.71.
- Median = middle value in order = 21.
- Mode = most common = no repeated value.
- Range = 33 − 3 = 30.
- Answer: Mean 19.71, median 21, mode none, range 30
For the data 3, 6, 9, 25, 31, 33, 46, 52, 59, find the mean, median, mode and range.
- Mean = 264 ÷ 9 = 29.33.
- Median = middle value in order = 31.
- Mode = most common = no repeated value.
- Range = 59 − 3 = 56.
- Answer: Mean 29.33, median 31, mode none, range 56
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 Working with Range Common Errors lesson plan really free?
- Yes. Every lesson plans 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 Working with Range Word Problems, Working with Range Techniques, Introducing Range. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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 Working with Range Common Errors?
- Move on to Introducing Range, Range in Context, which build directly on this idea.
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