Free Grade 3 Working with Introducing Range Common Errors: Visual Models Flashcards
Free Grade 3 flashcards for Working with Introducing Range Common Errors: Visual Models: 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: visual models
Identify working with introducing range common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range common errors: visual models
Explain working with introducing range common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range common errors: visual models
Calculate working with introducing range common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range common errors: visual models
Compare working with introducing range common errors: visual models 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: Visual Models 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 3, 14, 15, 18, 19, find the mean, median, mode and range.[1]
- 2.For the data 7, 11, 15, 20, 20, find the mean, median, mode and range.[1]
- 3.For the data 2, 7, 17, 18, 20, find the mean, median, mode and range.[1]
- 4.For the data 1, 7, 10, 13, 15, find the mean, median, mode and range.[1]
- 5.For the data 5, 10, 19, 19, 24, 31, 35, find the mean, median, mode and range.[2]
- 6.For the data 3, 15, 18, 21, 24, 31, 32, find the mean, median, mode and range.[2]
- 7.For the data 6, 9, 15, 32, 32, 33, 37, find the mean, median, mode and range.[2]
- 8.For the data 4, 8, 14, 21, 23, 29, 29, find the mean, median, mode and range.[2]
- 9.For the data 4, 16, 17, 19, 21, 24, 30, 37, 40, find the mean, median, mode and range.[3]
- 10.For the data 14, 36, 40, 40, 45, 45, 46, 46, 49, find the mean, median, mode and range.[3]
- 11.For the data 3, 4, 6, 14, 23, 33, 45, 45, 51, find the mean, median, mode and range.[3]
- 12.For the data 2, 25, 28, 31, 32, 36, 46, 52, 56, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 13.8, median 15, mode none, range 16
Mean = 69 ÷ 5 = 13.8. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 19 − 3 = 16.
2. Mean 14.6, median 15, mode 20, range 13
Mean = 73 ÷ 5 = 14.6. Median = middle value in order = 15. Mode = most common = 20. Range = 20 − 7 = 13.
3. Mean 12.8, median 17, mode none, range 18
Mean = 64 ÷ 5 = 12.8. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 20 − 2 = 18.
4. Mean 9.2, median 10, mode none, range 14
Mean = 46 ÷ 5 = 9.2. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 15 − 1 = 14.
5. Mean 20.43, median 19, mode 19, range 30
Mean = 143 ÷ 7 = 20.43. Median = middle value in order = 19. Mode = most common = 19. Range = 35 − 5 = 30.
6. Mean 20.57, median 21, mode none, range 29
Mean = 144 ÷ 7 = 20.57. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 32 − 3 = 29.
7. Mean 23.43, median 32, mode 32, range 31
Mean = 164 ÷ 7 = 23.43. Median = middle value in order = 32. Mode = most common = 32. Range = 37 − 6 = 31.
8. Mean 18.29, median 21, mode 29, range 25
Mean = 128 ÷ 7 = 18.29. Median = middle value in order = 21. Mode = most common = 29. Range = 29 − 4 = 25.
9. Mean 23.11, median 21, mode none, range 36
Mean = 208 ÷ 9 = 23.11. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 40 − 4 = 36.
10. Mean 40.11, median 45, mode 40 and 45 and 46, range 35
Mean = 361 ÷ 9 = 40.11. Median = middle value in order = 45. Mode = most common = 40 and 45 and 46. Range = 49 − 14 = 35.
11. Mean 24.89, median 23, mode 45, range 48
Mean = 224 ÷ 9 = 24.89. Median = middle value in order = 23. Mode = most common = 45. Range = 51 − 3 = 48.
12. Mean 34.22, median 32, mode none, range 54
Mean = 308 ÷ 9 = 34.22. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 56 − 2 = 54.
Worked examples
For the data 6, 12, 12, 15, 20, find the mean, median, mode and range.
- Mean = 65 ÷ 5 = 13.
- Median = middle value in order = 12.
- Mode = most common = 12.
- Range = 20 − 6 = 14.
- Answer: Mean 13, median 12, mode 12, range 14
For the data 27, 29, 31, 32, 32, 37, 40, find the mean, median, mode and range.
- Mean = 228 ÷ 7 = 32.57.
- Median = middle value in order = 32.
- Mode = most common = 32.
- Range = 40 − 27 = 13.
- Answer: Mean 32.57, median 32, mode 32, range 13
For the data 6, 20, 27, 30, 43, 45, 48, 48, 59, find the mean, median, mode and range.
- Mean = 326 ÷ 9 = 36.22.
- Median = middle value in order = 43.
- Mode = most common = 48.
- Range = 59 − 6 = 53.
- Answer: Mean 36.22, median 43, mode 48, 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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