Free Grade 3 Introducing Range Common Errors in Examinations Lesson Plans
Free Grade 3 lesson plans for Introducing Range Common Errors in Examinations: 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing range common errors in examinations
Identify introducing range common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing range common errors in examinations
Explain introducing range common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing range common errors in examinations
Calculate introducing range common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing range common errors in examinations
Compare introducing range common errors in examinations 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 Introducing Range Common Errors in Examinations 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 5, 8, 9, 13, 15, find the mean, median, mode and range.[1]
- 2.For the data 6, 9, 10, 11, 14, find the mean, median, mode and range.[1]
- 3.For the data 7, 10, 14, 20, 20, find the mean, median, mode and range.[1]
- 4.For the data 4, 13, 18, 19, 19, find the mean, median, mode and range.[1]
- 5.For the data 9, 11, 21, 36, 37, 38, 39, find the mean, median, mode and range.[2]
- 6.For the data 2, 9, 19, 22, 24, 28, 37, find the mean, median, mode and range.[2]
- 7.For the data 4, 6, 9, 19, 25, 31, 37, find the mean, median, mode and range.[2]
- 8.For the data 1, 6, 8, 19, 23, 24, 26, find the mean, median, mode and range.[2]
- 9.For the data 3, 9, 26, 28, 29, 39, 52, 54, 56, find the mean, median, mode and range.[3]
- 10.For the data 7, 10, 10, 13, 14, 24, 28, 46, 49, find the mean, median, mode and range.[3]
- 11.For the data 1, 2, 11, 12, 28, 34, 35, 43, 55, find the mean, median, mode and range.[3]
- 12.For the data 3, 6, 22, 23, 25, 33, 40, 40, 43, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 10, median 9, mode none, range 10
Mean = 50 ÷ 5 = 10. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 15 − 5 = 10.
2. Mean 10, median 10, mode none, range 8
Mean = 50 ÷ 5 = 10. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 14 − 6 = 8.
3. Mean 14.2, median 14, mode 20, range 13
Mean = 71 ÷ 5 = 14.2. Median = middle value in order = 14. Mode = most common = 20. Range = 20 − 7 = 13.
4. Mean 14.6, median 18, mode 19, range 15
Mean = 73 ÷ 5 = 14.6. Median = middle value in order = 18. Mode = most common = 19. Range = 19 − 4 = 15.
5. Mean 27.29, median 36, mode none, range 30
Mean = 191 ÷ 7 = 27.29. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 39 − 9 = 30.
6. Mean 20.14, median 22, mode none, range 35
Mean = 141 ÷ 7 = 20.14. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 37 − 2 = 35.
7. Mean 18.71, median 19, mode none, range 33
Mean = 131 ÷ 7 = 18.71. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 37 − 4 = 33.
8. Mean 15.29, median 19, mode none, range 25
Mean = 107 ÷ 7 = 15.29. Median = middle value in order = 19. Mode = most common = no repeated value. Range = 26 − 1 = 25.
9. Mean 32.89, median 29, mode none, range 53
Mean = 296 ÷ 9 = 32.89. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 56 − 3 = 53.
10. Mean 22.33, median 14, mode 10, range 42
Mean = 201 ÷ 9 = 22.33. Median = middle value in order = 14. Mode = most common = 10. Range = 49 − 7 = 42.
11. Mean 24.56, median 28, mode none, range 54
Mean = 221 ÷ 9 = 24.56. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 55 − 1 = 54.
12. Mean 26.11, median 25, mode 40, range 40
Mean = 235 ÷ 9 = 26.11. Median = middle value in order = 25. Mode = most common = 40. Range = 43 − 3 = 40.
Worked examples
For the data 1, 2, 3, 7, 12, find the mean, median, mode and range.
- Mean = 25 ÷ 5 = 5.
- Median = middle value in order = 3.
- Mode = most common = no repeated value.
- Range = 12 − 1 = 11.
- Answer: Mean 5, median 3, mode none, range 11
For the data 10, 13, 16, 18, 26, 27, 34, find the mean, median, mode and range.
- Mean = 144 ÷ 7 = 20.57.
- Median = middle value in order = 18.
- Mode = most common = no repeated value.
- Range = 34 − 10 = 24.
- Answer: Mean 20.57, median 18, mode none, range 24
For the data 2, 8, 11, 19, 36, 38, 42, 54, 55, find the mean, median, mode and range.
- Mean = 265 ÷ 9 = 29.44.
- Median = middle value in order = 36.
- Mode = most common = no repeated value.
- Range = 55 − 2 = 53.
- Answer: Mean 29.44, median 36, mode none, range 53
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 Working with Introducing Range Common Errors, Rules and Methods in 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 Introducing Range Essentials, Introducing Range Techniques, Introducing Range Word Problems, which build directly on this idea.
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