Free Grade 3 Working with Introducing Mode Common Errors: Visual Models Worksheets
Free Grade 3 worksheets for Working with Introducing Mode 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
Higher
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing mode common errors: visual models
Identify working with introducing mode common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing mode common errors: visual models
Explain working with introducing mode common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing mode common errors: visual models
Calculate working with introducing mode common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing mode common errors: visual models
Compare working with introducing mode 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 Mode 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 1, 1, 3, 3, 8, find the mean, median, mode and range.[1]
- 2.For the data 2, 13, 14, 17, 20, find the mean, median, mode and range.[1]
- 3.For the data 6, 7, 8, 10, 13, find the mean, median, mode and range.[1]
- 4.For the data 7, 13, 13, 14, 18, find the mean, median, mode and range.[1]
- 5.For the data 8, 9, 16, 21, 21, 29, 39, find the mean, median, mode and range.[2]
- 6.For the data 1, 2, 5, 6, 21, 31, 33, find the mean, median, mode and range.[2]
- 7.For the data 4, 10, 11, 14, 29, 34, 38, find the mean, median, mode and range.[2]
- 8.For the data 6, 6, 15, 26, 27, 31, 34, find the mean, median, mode and range.[2]
- 9.For the data 1, 2, 7, 8, 30, 33, 35, 44, 47, find the mean, median, mode and range.[3]
- 10.For the data 2, 8, 25, 42, 48, 51, 54, 55, 59, find the mean, median, mode and range.[3]
- 11.For the data 1, 3, 12, 17, 24, 41, 42, 51, 55, find the mean, median, mode and range.[3]
- 12.For the data 4, 9, 10, 11, 17, 18, 24, 39, 45, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 3.2, median 3, mode 1 and 3, range 7
Mean = 16 ÷ 5 = 3.2. Median = middle value in order = 3. Mode = most common = 1 and 3. Range = 8 − 1 = 7.
2. Mean 13.2, median 14, mode none, range 18
Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 20 − 2 = 18.
3. Mean 8.8, median 8, mode none, range 7
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 13 − 6 = 7.
4. Mean 13, median 13, mode 13, range 11
Mean = 65 ÷ 5 = 13. Median = middle value in order = 13. Mode = most common = 13. Range = 18 − 7 = 11.
5. Mean 20.43, median 21, mode 21, range 31
Mean = 143 ÷ 7 = 20.43. Median = middle value in order = 21. Mode = most common = 21. Range = 39 − 8 = 31.
6. Mean 14.14, median 6, mode none, range 32
Mean = 99 ÷ 7 = 14.14. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 33 − 1 = 32.
7. Mean 20, median 14, mode none, range 34
Mean = 140 ÷ 7 = 20. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 38 − 4 = 34.
8. Mean 20.71, median 26, mode 6, range 28
Mean = 145 ÷ 7 = 20.71. Median = middle value in order = 26. Mode = most common = 6. Range = 34 − 6 = 28.
9. Mean 23, median 30, mode none, range 46
Mean = 207 ÷ 9 = 23. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 47 − 1 = 46.
10. Mean 38.22, median 48, mode none, range 57
Mean = 344 ÷ 9 = 38.22. Median = middle value in order = 48. Mode = most common = no repeated value. Range = 59 − 2 = 57.
11. Mean 27.33, median 24, mode none, range 54
Mean = 246 ÷ 9 = 27.33. Median = middle value in order = 24. Mode = most common = no repeated value. Range = 55 − 1 = 54.
12. Mean 19.67, median 17, mode none, range 41
Mean = 177 ÷ 9 = 19.67. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 45 − 4 = 41.
Worked examples
For the data 4, 7, 8, 10, 12, find the mean, median, mode and range.
- Mean = 41 ÷ 5 = 8.2.
- Median = middle value in order = 8.
- Mode = most common = no repeated value.
- Range = 12 − 4 = 8.
- Answer: Mean 8.2, median 8, mode none, range 8
For the data 3, 6, 7, 19, 20, 22, 32, find the mean, median, mode and range.
- Mean = 109 ÷ 7 = 15.57.
- Median = middle value in order = 19.
- Mode = most common = no repeated value.
- Range = 32 − 3 = 29.
- Answer: Mean 15.57, median 19, mode none, range 29
For the data 10, 15, 21, 27, 32, 36, 47, 47, 55, find the mean, median, mode and range.
- Mean = 290 ÷ 9 = 32.22.
- Median = middle value in order = 32.
- Mode = most common = 47.
- Range = 55 − 10 = 45.
- Answer: Mean 32.22, median 32, mode 47, range 45
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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