Free Grade 3 Working with Introducing Range Common Errors: Visual Models Lessons
Free Grade 3 lessons 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.
Free
Foundation
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: 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 9, 9, 9, 17, 19, find the mean, median, mode and range.[1]
- 2.For the data 8, 11, 11, 14, 19, find the mean, median, mode and range.[1]
- 3.For the data 3, 6, 6, 9, 19, find the mean, median, mode and range.[1]
- 4.For the data 1, 6, 6, 20, 20, find the mean, median, mode and range.[1]
- 5.For the data 3, 8, 12, 20, 27, 31, 39, find the mean, median, mode and range.[2]
- 6.For the data 12, 15, 17, 31, 33, 35, 36, find the mean, median, mode and range.[2]
- 7.For the data 14, 14, 18, 24, 26, 34, 36, find the mean, median, mode and range.[2]
- 8.For the data 2, 12, 15, 29, 33, 33, 34, find the mean, median, mode and range.[2]
- 9.For the data 9, 21, 28, 32, 43, 53, 55, 56, 58, find the mean, median, mode and range.[3]
- 10.For the data 3, 6, 15, 20, 24, 30, 33, 43, 51, find the mean, median, mode and range.[3]
- 11.For the data 4, 12, 14, 22, 33, 41, 45, 47, 56, find the mean, median, mode and range.[3]
- 12.For the data 1, 15, 17, 18, 20, 25, 42, 45, 56, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 12.6, median 9, mode 9, range 10
Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 9. Mode = most common = 9. Range = 19 − 9 = 10.
2. Mean 12.6, median 11, mode 11, range 11
Mean = 63 ÷ 5 = 12.6. Median = middle value in order = 11. Mode = most common = 11. Range = 19 − 8 = 11.
3. Mean 8.6, median 6, mode 6, range 16
Mean = 43 ÷ 5 = 8.6. Median = middle value in order = 6. Mode = most common = 6. Range = 19 − 3 = 16.
4. Mean 10.6, median 6, mode 6 and 20, range 19
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 6. Mode = most common = 6 and 20. Range = 20 − 1 = 19.
5. Mean 20, median 20, mode none, range 36
Mean = 140 ÷ 7 = 20. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 39 − 3 = 36.
6. Mean 25.57, median 31, mode none, range 24
Mean = 179 ÷ 7 = 25.57. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 36 − 12 = 24.
7. Mean 23.71, median 24, mode 14, range 22
Mean = 166 ÷ 7 = 23.71. Median = middle value in order = 24. Mode = most common = 14. Range = 36 − 14 = 22.
8. Mean 22.57, median 29, mode 33, range 32
Mean = 158 ÷ 7 = 22.57. Median = middle value in order = 29. Mode = most common = 33. Range = 34 − 2 = 32.
9. Mean 39.44, median 43, mode none, range 49
Mean = 355 ÷ 9 = 39.44. Median = middle value in order = 43. Mode = most common = no repeated value. Range = 58 − 9 = 49.
10. Mean 25, median 24, mode none, range 48
Mean = 225 ÷ 9 = 25. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 51 − 3 = 48.
11. Mean 30.44, median 33, mode none, range 52
Mean = 274 ÷ 9 = 30.44. Median = middle value in order = 33. Mode = most common = no repeated value. Range = 56 − 4 = 52.
12. Mean 26.56, median 20, mode none, range 55
Mean = 239 ÷ 9 = 26.56. Median = middle value in order = 20. Mode = most common = no repeated value. Range = 56 − 1 = 55.
Worked examples
For the data 8, 12, 13, 17, 19, find the mean, median, mode and range.
- Mean = 69 ÷ 5 = 13.8.
- Median = middle value in order = 13.
- Mode = most common = no repeated value.
- Range = 19 − 8 = 11.
- Answer: Mean 13.8, median 13, mode none, range 11
For the data 4, 4, 8, 14, 22, 36, 37, find the mean, median, mode and range.
- Mean = 125 ÷ 7 = 17.86.
- Median = middle value in order = 14.
- Mode = most common = 4.
- Range = 37 − 4 = 33.
- Answer: Mean 17.86, median 14, mode 4, range 33
For the data 2, 13, 18, 23, 27, 50, 51, 51, 58, find the mean, median, mode and range.
- Mean = 293 ÷ 9 = 32.56.
- Median = middle value in order = 27.
- Mode = most common = 51.
- Range = 58 − 2 = 56.
- Answer: Mean 32.56, median 27, mode 51, 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.
Assessment objectives
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- Start with Working with Introducing Range Common Errors: Worked Examples, Working with Introducing Range Common Errors: Step-by-step Method, Rules and Methods in Introducing Range Common Errors. Each one has its own free lesson, worksheet and quiz.
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