Free Grade 3 Working with Introducing Range Common Errors: Common Mistakes Flashcards
Free Grade 3 flashcards for Working with Introducing Range Common Errors: Common Mistakes: 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
Core
30 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: common mistakes
Identify working with introducing range common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range common errors: common mistakes
Explain working with introducing range common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range common errors: common mistakes
Calculate working with introducing range common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range common errors: common mistakes
Compare working with introducing range common errors: common mistakes 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: Common Mistakes 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 12, 13, 14, 16, 18, find the mean, median, mode and range.[1]
- 2.For the data 1, 5, 6, 9, 15, find the mean, median, mode and range.[1]
- 3.For the data 7, 7, 8, 12, 15, find the mean, median, mode and range.[1]
- 4.For the data 2, 6, 6, 14, 20, find the mean, median, mode and range.[1]
- 5.For the data 9, 10, 10, 15, 21, 37, 37, find the mean, median, mode and range.[2]
- 6.For the data 16, 22, 26, 28, 29, 36, 40, find the mean, median, mode and range.[2]
- 7.For the data 2, 8, 9, 22, 24, 38, 39, find the mean, median, mode and range.[2]
- 8.For the data 11, 16, 20, 23, 24, 36, 38, find the mean, median, mode and range.[2]
- 9.For the data 1, 8, 14, 15, 17, 23, 41, 50, 58, find the mean, median, mode and range.[3]
- 10.For the data 8, 10, 27, 32, 40, 45, 46, 59, 60, find the mean, median, mode and range.[3]
- 11.For the data 1, 9, 19, 20, 29, 29, 31, 43, 52, find the mean, median, mode and range.[3]
- 12.For the data 5, 5, 23, 25, 33, 38, 44, 55, 56, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 14.6, median 14, mode none, range 6
Mean = 73 ÷ 5 = 14.6. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 18 − 12 = 6.
2. 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 = 15 − 1 = 14.
3. Mean 9.8, median 8, mode 7, range 8
Mean = 49 ÷ 5 = 9.8. Median = middle value in order = 8. Mode = most common = 7. Range = 15 − 7 = 8.
4. Mean 9.6, median 6, mode 6, range 18
Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 6. Mode = most common = 6. Range = 20 − 2 = 18.
5. Mean 19.86, median 15, mode 10 and 37, range 28
Mean = 139 ÷ 7 = 19.86. Median = middle value in order = 15. Mode = most common = 10 and 37. Range = 37 − 9 = 28.
6. Mean 28.14, median 28, mode none, range 24
Mean = 197 ÷ 7 = 28.14. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 40 − 16 = 24.
7. Mean 20.29, median 22, mode none, range 37
Mean = 142 ÷ 7 = 20.29. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 39 − 2 = 37.
8. Mean 24, median 23, mode none, range 27
Mean = 168 ÷ 7 = 24. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 38 − 11 = 27.
9. Mean 25.22, median 17, mode none, range 57
Mean = 227 ÷ 9 = 25.22. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 58 − 1 = 57.
10. Mean 36.33, median 40, mode none, range 52
Mean = 327 ÷ 9 = 36.33. Median = middle value in order = 40. Mode = most common = no repeated value. Range = 60 − 8 = 52.
11. Mean 25.89, median 29, mode 29, range 51
Mean = 233 ÷ 9 = 25.89. Median = middle value in order = 29. Mode = most common = 29. Range = 52 − 1 = 51.
12. Mean 31.56, median 33, mode 5, range 51
Mean = 284 ÷ 9 = 31.56. Median = middle value in order = 33. Mode = most common = 5. Range = 56 − 5 = 51.
Worked examples
For the data 2, 5, 9, 11, 14, find the mean, median, mode and range.
- Mean = 41 ÷ 5 = 8.2.
- Median = middle value in order = 9.
- Mode = most common = no repeated value.
- Range = 14 − 2 = 12.
- Answer: Mean 8.2, median 9, mode none, range 12
For the data 1, 8, 13, 17, 21, 21, 31, find the mean, median, mode and range.
- Mean = 112 ÷ 7 = 16.
- Median = middle value in order = 17.
- Mode = most common = 21.
- Range = 31 − 1 = 30.
- Answer: Mean 16, median 17, mode 21, range 30
For the data 1, 14, 22, 44, 51, 53, 55, 55, 57, find the mean, median, mode and range.
- Mean = 352 ÷ 9 = 39.11.
- Median = middle value in order = 51.
- Mode = most common = 55.
- Range = 57 − 1 = 56.
- Answer: Mean 39.11, median 51, mode 55, range 56
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.
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