Free Grade 3 Rules and Methods in Introducing Range Common Errors Lessons
Free Grade 3 lessons for Rules and Methods in 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify rules and methods in introducing range common errors
Identify rules and methods in introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rules and methods in introducing range common errors
Explain rules and methods in introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in introducing range common errors
Calculate rules and methods in introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in introducing range common errors
Compare rules and methods in 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 Rules and Methods in 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 4, 4, 11, 16, 17, find the mean, median, mode and range.[1]
- 2.For the data 1, 5, 11, 12, 16, find the mean, median, mode and range.[1]
- 3.For the data 5, 7, 11, 17, 19, find the mean, median, mode and range.[1]
- 4.For the data 2, 2, 2, 12, 18, find the mean, median, mode and range.[1]
- 5.For the data 3, 15, 16, 23, 28, 34, 35, find the mean, median, mode and range.[2]
- 6.For the data 5, 13, 29, 30, 33, 34, 35, find the mean, median, mode and range.[2]
- 7.For the data 9, 17, 24, 28, 29, 29, 40, find the mean, median, mode and range.[2]
- 8.For the data 16, 17, 19, 26, 26, 26, 37, find the mean, median, mode and range.[2]
- 9.For the data 5, 6, 8, 12, 17, 20, 35, 46, 60, find the mean, median, mode and range.[3]
- 10.For the data 2, 10, 15, 16, 17, 43, 45, 56, 56, find the mean, median, mode and range.[3]
- 11.For the data 14, 16, 23, 26, 34, 34, 37, 52, 54, find the mean, median, mode and range.[3]
- 12.For the data 12, 16, 16, 20, 45, 47, 54, 55, 55, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 10.4, median 11, mode 4, range 13
Mean = 52 ÷ 5 = 10.4. Median = middle value in order = 11. Mode = most common = 4. Range = 17 − 4 = 13.
2. Mean 9, median 11, mode none, range 15
Mean = 45 ÷ 5 = 9. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 16 − 1 = 15.
3. Mean 11.8, median 11, mode none, range 14
Mean = 59 ÷ 5 = 11.8. Median = middle value in order = 11. Mode = most common = no repeated value. Range = 19 − 5 = 14.
4. Mean 7.2, median 2, mode 2, range 16
Mean = 36 ÷ 5 = 7.2. Median = middle value in order = 2. Mode = most common = 2. Range = 18 − 2 = 16.
5. Mean 22, median 23, mode none, range 32
Mean = 154 ÷ 7 = 22. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 35 − 3 = 32.
6. Mean 25.57, median 30, mode none, range 30
Mean = 179 ÷ 7 = 25.57. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 35 − 5 = 30.
7. Mean 25.14, median 28, mode 29, range 31
Mean = 176 ÷ 7 = 25.14. Median = middle value in order = 28. Mode = most common = 29. Range = 40 − 9 = 31.
8. Mean 23.86, median 26, mode 26, range 21
Mean = 167 ÷ 7 = 23.86. Median = middle value in order = 26. Mode = most common = 26. Range = 37 − 16 = 21.
9. Mean 23.22, median 17, mode none, range 55
Mean = 209 ÷ 9 = 23.22. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 60 − 5 = 55.
10. Mean 28.89, median 17, mode 56, range 54
Mean = 260 ÷ 9 = 28.89. Median = middle value in order = 17. Mode = most common = 56. Range = 56 − 2 = 54.
11. Mean 32.22, median 34, mode 34, range 40
Mean = 290 ÷ 9 = 32.22. Median = middle value in order = 34. Mode = most common = 34. Range = 54 − 14 = 40.
12. Mean 35.56, median 45, mode 16 and 55, range 43
Mean = 320 ÷ 9 = 35.56. Median = middle value in order = 45. Mode = most common = 16 and 55. Range = 55 − 12 = 43.
Worked examples
For the data 7, 9, 10, 17, 18, find the mean, median, mode and range.
- Mean = 61 ÷ 5 = 12.2.
- Median = middle value in order = 10.
- Mode = most common = no repeated value.
- Range = 18 − 7 = 11.
- Answer: Mean 12.2, median 10, mode none, range 11
For the data 6, 12, 15, 16, 28, 36, 40, find the mean, median, mode and range.
- Mean = 153 ÷ 7 = 21.86.
- Median = middle value in order = 16.
- Mode = most common = no repeated value.
- Range = 40 − 6 = 34.
- Answer: Mean 21.86, median 16, mode none, range 34
For the data 3, 3, 13, 14, 28, 31, 41, 58, 59, find the mean, median, mode and range.
- Mean = 250 ÷ 9 = 27.78.
- Median = middle value in order = 28.
- Mode = most common = 3.
- Range = 59 − 3 = 56.
- Answer: Mean 27.78, median 28, mode 3, 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.
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- Start with Key Vocabulary of Introducing Range Common Errors, Introduction to Introducing Range Common Errors, Introducing Range Word Problems. Each one has its own free lesson, worksheet and quiz.
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- Move on to Working with Introducing Range Common Errors, Introducing Range Common Errors in Examinations, Introducing Range Essentials, Introducing Range Techniques, which build directly on this idea.
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