Free Grade 3 Working with Introducing Range Common Errors: Step-by-step Method Lesson Plans
Free Grade 3 lesson plans 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 2, 7, 7, 10, 16, find the mean, median, mode and range.[1]
- 2.For the data 2, 6, 8, 13, 20, find the mean, median, mode and range.[1]
- 3.For the data 4, 11, 17, 18, 20, find the mean, median, mode and range.[1]
- 4.For the data 1, 3, 7, 13, 20, find the mean, median, mode and range.[1]
- 5.For the data 8, 17, 17, 18, 28, 29, 31, find the mean, median, mode and range.[2]
- 6.For the data 3, 5, 13, 14, 16, 24, 38, find the mean, median, mode and range.[2]
- 7.For the data 7, 8, 13, 29, 31, 34, 39, find the mean, median, mode and range.[2]
- 8.For the data 5, 16, 17, 22, 25, 27, 39, find the mean, median, mode and range.[2]
- 9.For the data 3, 10, 17, 29, 29, 31, 32, 46, 46, find the mean, median, mode and range.[3]
- 10.For the data 7, 26, 26, 29, 32, 43, 49, 55, 57, find the mean, median, mode and range.[3]
- 11.For the data 1, 11, 19, 20, 22, 36, 52, 56, 60, find the mean, median, mode and range.[3]
- 12.For the data 3, 13, 18, 20, 23, 27, 29, 41, 51, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 8.4, median 7, mode 7, range 14
Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 7. Mode = most common = 7. Range = 16 − 2 = 14.
2. Mean 9.8, median 8, mode none, range 18
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 20 − 2 = 18.
3. Mean 14, median 17, mode none, range 16
Mean = 70 ÷ 5 = 14. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 20 − 4 = 16.
4. Mean 8.8, median 7, mode none, range 19
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 20 − 1 = 19.
5. Mean 21.14, median 18, mode 17, range 23
Mean = 148 ÷ 7 = 21.14. Median = middle value in order = 18. Mode = most common = 17. Range = 31 − 8 = 23.
6. Mean 16.14, median 14, mode none, range 35
Mean = 113 ÷ 7 = 16.14. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 38 − 3 = 35.
7. Mean 23, median 29, mode none, range 32
Mean = 161 ÷ 7 = 23. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 39 − 7 = 32.
8. Mean 21.57, median 22, mode none, range 34
Mean = 151 ÷ 7 = 21.57. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 39 − 5 = 34.
9. Mean 27, median 29, mode 29 and 46, range 43
Mean = 243 ÷ 9 = 27. Median = middle value in order = 29. Mode = most common = 29 and 46. Range = 46 − 3 = 43.
10. Mean 36, median 32, mode 26, range 50
Mean = 324 ÷ 9 = 36. Median = middle value in order = 32. Mode = most common = 26. Range = 57 − 7 = 50.
11. Mean 30.78, median 22, mode none, range 59
Mean = 277 ÷ 9 = 30.78. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 60 − 1 = 59.
12. Mean 25, median 23, mode none, range 48
Mean = 225 ÷ 9 = 25. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 51 − 3 = 48.
Worked examples
For the data 1, 1, 3, 7, 9, find the mean, median, mode and range.
- Mean = 21 ÷ 5 = 4.2.
- Median = middle value in order = 3.
- Mode = most common = 1.
- Range = 9 − 1 = 8.
- Answer: Mean 4.2, median 3, mode 1, range 8
For the data 1, 11, 17, 19, 25, 29, 30, find the mean, median, mode and range.
- Mean = 132 ÷ 7 = 18.86.
- Median = middle value in order = 19.
- Mode = most common = no repeated value.
- Range = 30 − 1 = 29.
- Answer: Mean 18.86, median 19, mode none, range 29
For the data 2, 22, 34, 34, 40, 46, 46, 54, 59, find the mean, median, mode and range.
- Mean = 337 ÷ 9 = 37.44.
- Median = middle value in order = 40.
- Mode = most common = 34 and 46.
- Range = 59 − 2 = 57.
- Answer: Mean 37.44, median 40, mode 34 and 46, range 57
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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