Free Grade 3 Working with Working with Range Common Errors Lessons
Free Grade 3 lessons for Working with 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
Foundation
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with working with range common errors
Identify working with working with range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with working with range common errors
Explain working with working with range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with working with range common errors
Calculate working with working with range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with working with range common errors
Compare working with 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 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 1, 3, 3, 10, 10, find the mean, median, mode and range.[1]
- 2.For the data 5, 10, 12, 13, 20, find the mean, median, mode and range.[1]
- 3.For the data 2, 9, 11, 12, 16, find the mean, median, mode and range.[1]
- 4.For the data 3, 5, 9, 17, 18, find the mean, median, mode and range.[1]
- 5.For the data 10, 12, 12, 12, 13, 30, 38, find the mean, median, mode and range.[2]
- 6.For the data 4, 7, 14, 16, 24, 26, 34, find the mean, median, mode and range.[2]
- 7.For the data 3, 10, 11, 11, 22, 26, 38, find the mean, median, mode and range.[2]
- 8.For the data 2, 6, 9, 24, 32, 40, 40, find the mean, median, mode and range.[2]
- 9.For the data 3, 18, 23, 25, 27, 29, 35, 40, 50, find the mean, median, mode and range.[3]
- 10.For the data 1, 12, 13, 24, 27, 27, 29, 47, 60, find the mean, median, mode and range.[3]
- 11.For the data 14, 16, 21, 29, 32, 33, 37, 48, 54, find the mean, median, mode and range.[3]
- 12.For the data 4, 15, 26, 29, 38, 38, 44, 48, 52, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 5.4, median 3, mode 3 and 10, range 9
Mean = 27 ÷ 5 = 5.4. Median = middle value in order = 3. Mode = most common = 3 and 10. Range = 10 − 1 = 9.
2. Mean 12, median 12, mode none, range 15
Mean = 60 ÷ 5 = 12. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 20 − 5 = 15.
3. Mean 10, median 11, mode none, range 14
Mean = 50 ÷ 5 = 10. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 16 − 2 = 14.
4. Mean 10.4, median 9, mode none, range 15
Mean = 52 ÷ 5 = 10.4. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 18 − 3 = 15.
5. Mean 18.14, median 12, mode 12, range 28
Mean = 127 ÷ 7 = 18.14. Median = middle value in order = 12. Mode = most common = 12. Range = 38 − 10 = 28.
6. Mean 17.86, median 16, mode none, range 30
Mean = 125 ÷ 7 = 17.86. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 34 − 4 = 30.
7. Mean 17.29, median 11, mode 11, range 35
Mean = 121 ÷ 7 = 17.29. Median = middle value in order = 11. Mode = most common = 11. Range = 38 − 3 = 35.
8. Mean 21.86, median 24, mode 40, range 38
Mean = 153 ÷ 7 = 21.86. Median = middle value in order = 24. Mode = most common = 40. Range = 40 − 2 = 38.
9. Mean 27.78, median 27, mode none, range 47
Mean = 250 ÷ 9 = 27.78. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 50 − 3 = 47.
10. Mean 26.67, median 27, mode 27, range 59
Mean = 240 ÷ 9 = 26.67. Median = middle value in order = 27. Mode = most common = 27. Range = 60 − 1 = 59.
11. Mean 31.56, median 32, mode none, range 40
Mean = 284 ÷ 9 = 31.56. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 54 − 14 = 40.
12. Mean 32.67, median 38, mode 38, range 48
Mean = 294 ÷ 9 = 32.67. Median = middle value in order = 38. Mode = most common = 38. Range = 52 − 4 = 48.
Worked examples
For the data 5, 13, 14, 20, 20, find the mean, median, mode and range.
- Mean = 72 ÷ 5 = 14.4.
- Median = middle value in order = 14.
- Mode = most common = 20.
- Range = 20 − 5 = 15.
- Answer: Mean 14.4, median 14, mode 20, range 15
For the data 4, 20, 21, 21, 23, 23, 28, find the mean, median, mode and range.
- Mean = 140 ÷ 7 = 20.
- Median = middle value in order = 21.
- Mode = most common = 21 and 23.
- Range = 28 − 4 = 24.
- Answer: Mean 20, median 21, mode 21 and 23, range 24
For the data 1, 6, 11, 19, 24, 29, 29, 45, 56, find the mean, median, mode and range.
- Mean = 220 ÷ 9 = 24.44.
- Median = middle value in order = 24.
- Mode = most common = 29.
- Range = 56 − 1 = 55.
- Answer: Mean 24.44, median 24, mode 29, range 55
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 Rules and Methods in Working with Range Common Errors, Key Vocabulary of Working with Range Common Errors, Working with Range Word Problems. 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 Working with Range Common Errors?
- Move on to Working with Range Common Errors in Examinations, Working with Range Essentials, Working with Range Techniques, Working with Range Word Problems, which build directly on this idea.
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