Free Grade 3 Working with Range Common Errors Lessons
Free Grade 3 lessons 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 10, 12, 14, 16, 18, find the mean, median, mode and range.[1]
- 2.For the data 6, 6, 10, 18, 20, find the mean, median, mode and range.[1]
- 3.For the data 2, 7, 8, 9, 13, find the mean, median, mode and range.[1]
- 4.For the data 3, 13, 13, 17, 20, find the mean, median, mode and range.[1]
- 5.For the data 1, 21, 22, 25, 34, 35, 36, find the mean, median, mode and range.[2]
- 6.For the data 10, 14, 17, 24, 36, 38, 39, find the mean, median, mode and range.[2]
- 7.For the data 5, 10, 12, 14, 28, 31, 35, find the mean, median, mode and range.[2]
- 8.For the data 4, 5, 13, 18, 22, 30, 32, find the mean, median, mode and range.[2]
- 9.For the data 13, 14, 27, 31, 34, 37, 38, 46, 54, find the mean, median, mode and range.[3]
- 10.For the data 12, 16, 21, 29, 29, 41, 42, 49, 57, find the mean, median, mode and range.[3]
- 11.For the data 1, 21, 23, 26, 27, 30, 36, 51, 58, find the mean, median, mode and range.[3]
- 12.For the data 3, 7, 13, 16, 20, 22, 37, 43, 44, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 14, median 14, mode none, range 8
Mean = 70 ÷ 5 = 14. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 18 − 10 = 8.
2. Mean 12, median 10, mode 6, range 14
Mean = 60 ÷ 5 = 12. Median = middle value in order = 10. Mode = most common = 6. Range = 20 − 6 = 14.
3. Mean 7.8, median 8, mode none, range 11
Mean = 39 ÷ 5 = 7.8. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 13 − 2 = 11.
4. Mean 13.2, median 13, mode 13, range 17
Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 13. Mode = most common = 13. Range = 20 − 3 = 17.
5. Mean 24.86, median 25, mode none, range 35
Mean = 174 ÷ 7 = 24.86. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 36 − 1 = 35.
6. Mean 25.43, median 24, mode none, range 29
Mean = 178 ÷ 7 = 25.43. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 39 − 10 = 29.
7. Mean 19.29, median 14, mode none, range 30
Mean = 135 ÷ 7 = 19.29. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 35 − 5 = 30.
8. Mean 17.71, median 18, mode none, range 28
Mean = 124 ÷ 7 = 17.71. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 32 − 4 = 28.
9. Mean 32.67, median 34, mode none, range 41
Mean = 294 ÷ 9 = 32.67. Median = middle value in order = 34. Mode = most common = no repeated value. Range = 54 − 13 = 41.
10. Mean 32.89, median 29, mode 29, range 45
Mean = 296 ÷ 9 = 32.89. Median = middle value in order = 29. Mode = most common = 29. Range = 57 − 12 = 45.
11. Mean 30.33, median 27, mode none, range 57
Mean = 273 ÷ 9 = 30.33. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 58 − 1 = 57.
12. Mean 22.78, median 20, mode none, range 41
Mean = 205 ÷ 9 = 22.78. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 44 − 3 = 41.
Worked examples
For the data 2, 14, 15, 19, 19, find the mean, median, mode and range.
- Mean = 69 ÷ 5 = 13.8.
- Median = middle value in order = 15.
- Mode = most common = 19.
- Range = 19 − 2 = 17.
- Answer: Mean 13.8, median 15, mode 19, range 17
For the data 7, 24, 26, 27, 30, 39, 40, find the mean, median, mode and range.
- Mean = 193 ÷ 7 = 27.57.
- Median = middle value in order = 27.
- Mode = most common = no repeated value.
- Range = 40 − 7 = 33.
- Answer: Mean 27.57, median 27, mode none, range 33
For the data 10, 10, 39, 41, 46, 52, 52, 55, 57, find the mean, median, mode and range.
- Mean = 362 ÷ 9 = 40.22.
- Median = middle value in order = 46.
- Mode = most common = 10 and 52.
- Range = 57 − 10 = 47.
- Answer: Mean 40.22, median 46, mode 10 and 52, range 47
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 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 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 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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