Free Grade 3 Working with Introducing Range Common Errors Lessons
Free Grade 3 lessons for Working with Introducing 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing range common errors
Identify working with introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range common errors
Explain working with introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range common errors
Calculate working with introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range common errors
Compare working with introducing 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 Introducing 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 2, 2, 2, 14, 15, find the mean, median, mode and range.[1]
- 2.For the data 8, 8, 9, 15, 17, find the mean, median, mode and range.[1]
- 3.For the data 3, 4, 7, 13, 13, find the mean, median, mode and range.[1]
- 4.For the data 7, 9, 16, 16, 16, find the mean, median, mode and range.[1]
- 5.For the data 4, 7, 22, 33, 35, 38, 38, find the mean, median, mode and range.[2]
- 6.For the data 2, 4, 8, 11, 17, 27, 35, find the mean, median, mode and range.[2]
- 7.For the data 3, 15, 23, 31, 33, 34, 40, find the mean, median, mode and range.[2]
- 8.For the data 6, 11, 11, 15, 15, 27, 34, find the mean, median, mode and range.[2]
- 9.For the data 7, 10, 11, 22, 23, 29, 42, 42, 52, find the mean, median, mode and range.[3]
- 10.For the data 10, 11, 13, 19, 33, 36, 41, 53, 54, find the mean, median, mode and range.[3]
- 11.For the data 7, 18, 41, 43, 46, 48, 52, 55, 60, find the mean, median, mode and range.[3]
- 12.For the data 3, 27, 30, 36, 38, 43, 46, 52, 56, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 7, median 2, mode 2, range 13
Mean = 35 ÷ 5 = 7. Median = middle value in order = 2. Mode = most common = 2. Range = 15 − 2 = 13.
2. Mean 11.4, median 9, mode 8, range 9
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 9. Mode = most common = 8. Range = 17 − 8 = 9.
3. Mean 8, median 7, mode 13, range 10
Mean = 40 ÷ 5 = 8. Median = middle value in order = 7. Mode = most common = 13. Range = 13 − 3 = 10.
4. Mean 12.8, median 16, mode 16, range 9
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 16. Mode = most common = 16. Range = 16 − 7 = 9.
5. Mean 25.29, median 33, mode 38, range 34
Mean = 177 ÷ 7 = 25.29. Median = middle value in order = 33. Mode = most common = 38. Range = 38 − 4 = 34.
6. Mean 14.86, median 11, mode none, range 33
Mean = 104 ÷ 7 = 14.86. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 35 − 2 = 33.
7. Mean 25.57, median 31, mode none, range 37
Mean = 179 ÷ 7 = 25.57. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 40 − 3 = 37.
8. Mean 17, median 15, mode 11 and 15, range 28
Mean = 119 ÷ 7 = 17. Median = middle value in order = 15. Mode = most common = 11 and 15. Range = 34 − 6 = 28.
9. Mean 26.44, median 23, mode 42, range 45
Mean = 238 ÷ 9 = 26.44. Median = middle value in order = 23. Mode = most common = 42. Range = 52 − 7 = 45.
10. Mean 30, median 33, mode none, range 44
Mean = 270 ÷ 9 = 30. Median = middle value in order = 33. Mode = most common = no repeated value. Range = 54 − 10 = 44.
11. Mean 41.11, median 46, mode none, range 53
Mean = 370 ÷ 9 = 41.11. Median = middle value in order = 46. Mode = most common = no repeated value. Range = 60 − 7 = 53.
12. Mean 36.78, median 38, mode none, range 53
Mean = 331 ÷ 9 = 36.78. Median = middle value in order = 38. Mode = most common = no repeated value. Range = 56 − 3 = 53.
Worked examples
For the data 3, 8, 19, 20, 20, find the mean, median, mode and range.
- Mean = 70 ÷ 5 = 14.
- Median = middle value in order = 19.
- Mode = most common = 20.
- Range = 20 − 3 = 17.
- Answer: Mean 14, median 19, mode 20, range 17
For the data 6, 8, 8, 17, 23, 29, 40, find the mean, median, mode and range.
- Mean = 131 ÷ 7 = 18.71.
- Median = middle value in order = 17.
- Mode = most common = 8.
- Range = 40 − 6 = 34.
- Answer: Mean 18.71, median 17, mode 8, range 34
For the data 2, 11, 12, 12, 23, 26, 33, 34, 51, find the mean, median, mode and range.
- Mean = 204 ÷ 9 = 22.67.
- Median = middle value in order = 23.
- Mode = most common = 12.
- Range = 51 − 2 = 49.
- Answer: Mean 22.67, median 23, mode 12, range 49
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 Introducing Range Common Errors, Key Vocabulary of Introducing Range Common Errors, Introducing Range Word Problems. Each one has its own free lesson, worksheet and quiz.
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- What comes next after Working with Introducing Range Common Errors?
- Move on to Introducing Range Common Errors in Examinations, Introducing Range Essentials, Introducing Range Techniques, Introducing Range Word Problems, which build directly on this idea.
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