Free Grade 3 Introduction to Introducing Range Common Errors Lessons
Free Grade 3 lessons for Introduction to 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
Foundation
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introduction to introducing range common errors
Identify introduction to introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introduction to introducing range common errors
Explain introduction to introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to introducing range common errors
Calculate introduction to introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to introducing range common errors
Compare introduction to 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 Introduction to 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, 7, 8, 12, 16, find the mean, median, mode and range.[1]
- 2.For the data 1, 5, 8, 9, 14, find the mean, median, mode and range.[1]
- 3.For the data 3, 6, 13, 13, 14, find the mean, median, mode and range.[1]
- 4.For the data 7, 8, 12, 13, 15, find the mean, median, mode and range.[1]
- 5.For the data 5, 9, 18, 18, 20, 24, 35, find the mean, median, mode and range.[2]
- 6.For the data 3, 4, 11, 22, 22, 25, 40, find the mean, median, mode and range.[2]
- 7.For the data 8, 9, 12, 13, 14, 17, 30, find the mean, median, mode and range.[2]
- 8.For the data 7, 18, 19, 28, 32, 33, 34, find the mean, median, mode and range.[2]
- 9.For the data 2, 9, 21, 25, 43, 49, 51, 57, 59, find the mean, median, mode and range.[3]
- 10.For the data 7, 8, 13, 15, 16, 23, 33, 33, 43, find the mean, median, mode and range.[3]
- 11.For the data 6, 7, 19, 31, 41, 42, 44, 49, 53, find the mean, median, mode and range.[3]
- 12.For the data 4, 9, 13, 14, 19, 36, 45, 46, 48, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9, median 8, mode none, range 14
Mean = 45 ÷ 5 = 9. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 16 − 2 = 14.
2. Mean 7.4, median 8, mode none, range 13
Mean = 37 ÷ 5 = 7.4. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 14 − 1 = 13.
3. Mean 9.8, median 13, mode 13, range 11
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 13. Mode = most common = 13. Range = 14 − 3 = 11.
4. Mean 11, median 12, mode none, range 8
Mean = 55 ÷ 5 = 11. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 15 − 7 = 8.
5. Mean 18.43, median 18, mode 18, range 30
Mean = 129 ÷ 7 = 18.43. Median = middle value in order = 18. Mode = most common = 18. Range = 35 − 5 = 30.
6. Mean 18.14, median 22, mode 22, range 37
Mean = 127 ÷ 7 = 18.14. Median = middle value in order = 22. Mode = most common = 22. Range = 40 − 3 = 37.
7. Mean 14.71, median 13, mode none, range 22
Mean = 103 ÷ 7 = 14.71. Median = middle value in order = 13. Mode = most common = no repeated value. Range = 30 − 8 = 22.
8. Mean 24.43, median 28, mode none, range 27
Mean = 171 ÷ 7 = 24.43. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 34 − 7 = 27.
9. Mean 35.11, median 43, mode none, range 57
Mean = 316 ÷ 9 = 35.11. Median = middle value in order = 43. Mode = most common = no repeated value. Range = 59 − 2 = 57.
10. Mean 21.22, median 16, mode 33, range 36
Mean = 191 ÷ 9 = 21.22. Median = middle value in order = 16. Mode = most common = 33. Range = 43 − 7 = 36.
11. Mean 32.44, median 41, mode none, range 47
Mean = 292 ÷ 9 = 32.44. Median = middle value in order = 41. Mode = most common = no repeated value. Range = 53 − 6 = 47.
12. Mean 26, median 19, mode none, range 44
Mean = 234 ÷ 9 = 26. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 48 − 4 = 44.
Worked examples
For the data 4, 5, 8, 9, 9, find the mean, median, mode and range.
- Mean = 35 ÷ 5 = 7.
- Median = middle value in order = 8.
- Mode = most common = 9.
- Range = 9 − 4 = 5.
- Answer: Mean 7, median 8, mode 9, range 5
For the data 2, 3, 4, 6, 9, 23, 35, find the mean, median, mode and range.
- Mean = 82 ÷ 7 = 11.71.
- Median = middle value in order = 6.
- Mode = most common = no repeated value.
- Range = 35 − 2 = 33.
- Answer: Mean 11.71, median 6, mode none, range 33
For the data 1, 7, 22, 23, 26, 38, 39, 41, 49, find the mean, median, mode and range.
- Mean = 246 ÷ 9 = 27.33.
- Median = middle value in order = 26.
- Mode = most common = no repeated value.
- Range = 49 − 1 = 48.
- Answer: Mean 27.33, median 26, mode none, range 48
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 Introducing Range Word Problems. Each one has its own free lesson, worksheet and quiz.
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- Move on to Key Vocabulary of Introducing Range Common Errors, Rules and Methods in Introducing Range Common Errors, Working with Introducing Range Common Errors, Introducing Range Common Errors in Examinations, which build directly on this idea.
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