Free Grade 3 Working with Introducing Range Common Errors: Step-by-step Method Flashcards
Free Grade 3 flashcards 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.
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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 10, 11, 11, 11, 16, find the mean, median, mode and range.[1]
- 2.For the data 2, 4, 4, 6, 16, find the mean, median, mode and range.[1]
- 3.For the data 1, 2, 10, 11, 13, find the mean, median, mode and range.[1]
- 4.For the data 7, 7, 8, 9, 11, find the mean, median, mode and range.[1]
- 5.For the data 1, 6, 16, 20, 29, 35, 40, find the mean, median, mode and range.[2]
- 6.For the data 17, 21, 22, 24, 29, 31, 33, find the mean, median, mode and range.[2]
- 7.For the data 4, 8, 11, 14, 15, 17, 27, find the mean, median, mode and range.[2]
- 8.For the data 2, 5, 11, 14, 21, 33, 33, find the mean, median, mode and range.[2]
- 9.For the data 6, 9, 10, 12, 14, 30, 51, 55, 55, find the mean, median, mode and range.[3]
- 10.For the data 13, 16, 21, 32, 36, 39, 45, 47, 59, find the mean, median, mode and range.[3]
- 11.For the data 5, 10, 14, 42, 45, 51, 52, 53, 57, find the mean, median, mode and range.[3]
- 12.For the data 26, 26, 32, 38, 39, 41, 51, 55, 57, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 11.8, median 11, mode 11, range 6
Mean = 59 ÷ 5 = 11.8. Median = middle value in order = 11. Mode = most common = 11. Range = 16 − 10 = 6.
2. Mean 6.4, median 4, mode 4, range 14
Mean = 32 ÷ 5 = 6.4. Median = middle value in order = 4. Mode = most common = 4. Range = 16 − 2 = 14.
3. Mean 7.4, median 10, mode none, range 12
Mean = 37 ÷ 5 = 7.4. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 13 − 1 = 12.
4. Mean 8.4, median 8, mode 7, range 4
Mean = 42 ÷ 5 = 8.4. Median = middle value in order = 8. Mode = most common = 7. Range = 11 − 7 = 4.
5. Mean 21, median 20, mode none, range 39
Mean = 147 ÷ 7 = 21. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 40 − 1 = 39.
6. Mean 25.29, median 24, mode none, range 16
Mean = 177 ÷ 7 = 25.29. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 33 − 17 = 16.
7. Mean 13.71, median 14, mode none, range 23
Mean = 96 ÷ 7 = 13.71. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 27 − 4 = 23.
8. Mean 17, median 14, mode 33, range 31
Mean = 119 ÷ 7 = 17. Median = middle value in order = 14. Mode = most common = 33. Range = 33 − 2 = 31.
9. Mean 26.89, median 14, mode 55, range 49
Mean = 242 ÷ 9 = 26.89. Median = middle value in order = 14. Mode = most common = 55. Range = 55 − 6 = 49.
10. Mean 34.22, median 36, mode none, range 46
Mean = 308 ÷ 9 = 34.22. Median = middle value in order = 36. Mode = most common = no repeated value. Range = 59 − 13 = 46.
11. Mean 36.56, median 45, mode none, range 52
Mean = 329 ÷ 9 = 36.56. Median = middle value in order = 45. Mode = most common = no repeated value. Range = 57 − 5 = 52.
12. Mean 40.56, median 39, mode 26, range 31
Mean = 365 ÷ 9 = 40.56. Median = middle value in order = 39. Mode = most common = 26. Range = 57 − 26 = 31.
Worked examples
For the data 8, 11, 12, 15, 18, find the mean, median, mode and range.
- Mean = 64 ÷ 5 = 12.8.
- Median = middle value in order = 12.
- Mode = most common = no repeated value.
- Range = 18 − 8 = 10.
- Answer: Mean 12.8, median 12, mode none, range 10
For the data 2, 7, 8, 10, 13, 19, 34, find the mean, median, mode and range.
- Mean = 93 ÷ 7 = 13.29.
- Median = middle value in order = 10.
- Mode = most common = no repeated value.
- Range = 34 − 2 = 32.
- Answer: Mean 13.29, median 10, mode none, range 32
For the data 4, 16, 24, 33, 37, 38, 44, 46, 47, find the mean, median, mode and range.
- Mean = 289 ÷ 9 = 32.11.
- Median = middle value in order = 37.
- Mode = most common = no repeated value.
- Range = 47 − 4 = 43.
- Answer: Mean 32.11, median 37, mode none, range 43
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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