Free Grade 3 Rules and Methods in Introducing Range Common Errors Lesson Plans
Free Grade 3 lesson plans 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 2, 3, 6, 9, 16, find the mean, median, mode and range.[1]
- 2.For the data 5, 12, 16, 17, 19, find the mean, median, mode and range.[1]
- 3.For the data 8, 9, 10, 17, 20, find the mean, median, mode and range.[1]
- 4.For the data 4, 4, 5, 7, 15, find the mean, median, mode and range.[1]
- 5.For the data 7, 9, 11, 21, 26, 29, 38, find the mean, median, mode and range.[2]
- 6.For the data 4, 7, 8, 9, 11, 22, 40, find the mean, median, mode and range.[2]
- 7.For the data 3, 9, 27, 29, 29, 30, 32, find the mean, median, mode and range.[2]
- 8.For the data 6, 17, 19, 28, 29, 32, 37, find the mean, median, mode and range.[2]
- 9.For the data 11, 14, 15, 19, 42, 46, 46, 60, 60, find the mean, median, mode and range.[3]
- 10.For the data 1, 2, 9, 17, 20, 30, 32, 34, 40, find the mean, median, mode and range.[3]
- 11.For the data 10, 11, 11, 13, 19, 30, 44, 57, 58, find the mean, median, mode and range.[3]
- 12.For the data 4, 7, 19, 31, 49, 51, 52, 54, 56, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 7.2, median 6, mode none, range 14
Mean = 36 ÷ 5 = 7.2. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 16 − 2 = 14.
2. Mean 13.8, median 16, mode none, range 14
Mean = 69 ÷ 5 = 13.8. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 19 − 5 = 14.
3. Mean 12.8, median 10, mode none, range 12
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 20 − 8 = 12.
4. Mean 7, median 5, mode 4, range 11
Mean = 35 ÷ 5 = 7. Median = middle value in order = 5. Mode = most common = 4. Range = 15 − 4 = 11.
5. Mean 20.14, median 21, mode none, range 31
Mean = 141 ÷ 7 = 20.14. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 38 − 7 = 31.
6. Mean 14.43, median 9, mode none, range 36
Mean = 101 ÷ 7 = 14.43. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 40 − 4 = 36.
7. Mean 22.71, median 29, mode 29, range 29
Mean = 159 ÷ 7 = 22.71. Median = middle value in order = 29. Mode = most common = 29. Range = 32 − 3 = 29.
8. Mean 24, median 28, mode none, range 31
Mean = 168 ÷ 7 = 24. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 37 − 6 = 31.
9. Mean 34.78, median 42, mode 46 and 60, range 49
Mean = 313 ÷ 9 = 34.78. Median = middle value in order = 42. Mode = most common = 46 and 60. Range = 60 − 11 = 49.
10. Mean 20.56, median 20, mode none, range 39
Mean = 185 ÷ 9 = 20.56. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 40 − 1 = 39.
11. Mean 28.11, median 19, mode 11, range 48
Mean = 253 ÷ 9 = 28.11. Median = middle value in order = 19. Mode = most common = 11. Range = 58 − 10 = 48.
12. Mean 35.89, median 49, mode none, range 52
Mean = 323 ÷ 9 = 35.89. Median = middle value in order = 49. Mode = most common = no repeated value. Range = 56 − 4 = 52.
Worked examples
For the data 1, 10, 19, 19, 20, find the mean, median, mode and range.
- Mean = 69 ÷ 5 = 13.8.
- Median = middle value in order = 19.
- Mode = most common = 19.
- Range = 20 − 1 = 19.
- Answer: Mean 13.8, median 19, mode 19, range 19
For the data 5, 12, 22, 23, 27, 27, 32, find the mean, median, mode and range.
- Mean = 148 ÷ 7 = 21.14.
- Median = middle value in order = 23.
- Mode = most common = 27.
- Range = 32 − 5 = 27.
- Answer: Mean 21.14, median 23, mode 27, range 27
For the data 6, 16, 20, 22, 23, 32, 44, 47, 54, find the mean, median, mode and range.
- Mean = 264 ÷ 9 = 29.33.
- Median = middle value in order = 23.
- Mode = most common = no repeated value.
- Range = 54 − 6 = 48.
- Answer: Mean 29.33, median 23, 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.
Assessment objectives
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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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