Free Grade 3 Working with Introducing Range Common Errors: Step-by-step Method Lessons
Free Grade 3 lessons for Working with Introducing Range Common Errors: Step-by-step Method: 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 working with introducing range common errors: step-by-step method
Identify working with introducing range common errors: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range common errors: step-by-step method
Explain working with introducing range common errors: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range common errors: step-by-step method
Calculate working with introducing range common errors: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range common errors: step-by-step method
Compare working with introducing range common errors: step-by-step method 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: Step-by-step Method 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 1, 3, 9, 16, 17, find the mean, median, mode and range.[1]
- 2.For the data 6, 6, 8, 8, 19, find the mean, median, mode and range.[1]
- 3.For the data 2, 6, 9, 11, 20, find the mean, median, mode and range.[1]
- 4.For the data 2, 3, 7, 9, 14, find the mean, median, mode and range.[1]
- 5.For the data 2, 13, 14, 15, 28, 31, 35, find the mean, median, mode and range.[2]
- 6.For the data 8, 12, 16, 18, 32, 33, 38, find the mean, median, mode and range.[2]
- 7.For the data 8, 13, 31, 32, 35, 37, 39, find the mean, median, mode and range.[2]
- 8.For the data 4, 11, 14, 16, 23, 28, 33, find the mean, median, mode and range.[2]
- 9.For the data 4, 8, 12, 16, 22, 24, 31, 41, 49, find the mean, median, mode and range.[3]
- 10.For the data 6, 7, 9, 12, 14, 30, 35, 43, 52, find the mean, median, mode and range.[3]
- 11.For the data 6, 8, 11, 11, 40, 40, 44, 59, 60, find the mean, median, mode and range.[3]
- 12.For the data 5, 6, 14, 18, 31, 34, 38, 43, 58, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 9.2, median 9, mode none, range 16
Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 17 − 1 = 16.
2. Mean 9.4, median 8, mode 6 and 8, range 13
Mean = 47 ÷ 5 = 9.4. Median = middle value in order = 8. Mode = most common = 6 and 8. Range = 19 − 6 = 13.
3. Mean 9.6, median 9, mode none, range 18
Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 20 − 2 = 18.
4. Mean 7, median 7, mode none, range 12
Mean = 35 ÷ 5 = 7. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 14 − 2 = 12.
5. Mean 19.71, median 15, mode none, range 33
Mean = 138 ÷ 7 = 19.71. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 35 − 2 = 33.
6. Mean 22.43, median 18, mode none, range 30
Mean = 157 ÷ 7 = 22.43. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 38 − 8 = 30.
7. Mean 27.86, median 32, mode none, range 31
Mean = 195 ÷ 7 = 27.86. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 39 − 8 = 31.
8. Mean 18.43, median 16, mode none, range 29
Mean = 129 ÷ 7 = 18.43. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 33 − 4 = 29.
9. Mean 23, median 22, mode none, range 45
Mean = 207 ÷ 9 = 23. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 49 − 4 = 45.
10. Mean 23.11, median 14, mode none, range 46
Mean = 208 ÷ 9 = 23.11. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 52 − 6 = 46.
11. Mean 31, median 40, mode 11 and 40, range 54
Mean = 279 ÷ 9 = 31. Median = middle value in order = 40. Mode = most common = 11 and 40. Range = 60 − 6 = 54.
12. Mean 27.44, median 31, mode none, range 53
Mean = 247 ÷ 9 = 27.44. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 58 − 5 = 53.
Worked examples
For the data 1, 4, 4, 6, 17, find the mean, median, mode and range.
- Mean = 32 ÷ 5 = 6.4.
- Median = middle value in order = 4.
- Mode = most common = 4.
- Range = 17 − 1 = 16.
- Answer: Mean 6.4, median 4, mode 4, range 16
For the data 17, 19, 22, 24, 31, 34, 40, find the mean, median, mode and range.
- Mean = 187 ÷ 7 = 26.71.
- Median = middle value in order = 24.
- Mode = most common = no repeated value.
- Range = 40 − 17 = 23.
- Answer: Mean 26.71, median 24, mode none, range 23
For the data 6, 7, 14, 14, 27, 30, 37, 50, 58, find the mean, median, mode and range.
- Mean = 243 ÷ 9 = 27.
- Median = middle value in order = 27.
- Mode = most common = 14.
- Range = 58 − 6 = 52.
- Answer: Mean 27, median 27, mode 14, range 52
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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