Free Grade 3 Working with Introducing Range Common Errors: Common Mistakes Quizzes
Free Grade 3 quizzes 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 10, 10, 10, 16, 19, find the mean, median, mode and range.[1]
- 2.For the data 1, 14, 16, 18, 20, find the mean, median, mode and range.[1]
- 3.For the data 4, 9, 15, 15, 16, find the mean, median, mode and range.[1]
- 4.For the data 2, 8, 10, 13, 15, find the mean, median, mode and range.[1]
- 5.For the data 6, 15, 19, 22, 30, 32, 35, find the mean, median, mode and range.[2]
- 6.For the data 3, 5, 7, 14, 22, 27, 32, find the mean, median, mode and range.[2]
- 7.For the data 11, 14, 19, 26, 27, 35, 39, find the mean, median, mode and range.[2]
- 8.For the data 6, 7, 10, 15, 15, 19, 30, find the mean, median, mode and range.[2]
- 9.For the data 2, 9, 30, 34, 38, 40, 43, 50, 51, find the mean, median, mode and range.[3]
- 10.For the data 6, 9, 10, 10, 11, 11, 33, 37, 60, find the mean, median, mode and range.[3]
- 11.For the data 9, 13, 14, 25, 29, 32, 48, 53, 55, find the mean, median, mode and range.[3]
- 12.For the data 25, 27, 30, 41, 42, 43, 45, 45, 55, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 13, median 10, mode 10, range 9
Mean = 65 ÷ 5 = 13. Median = middle value in order = 10. Mode = most common = 10. Range = 19 − 10 = 9.
2. Mean 13.8, median 16, mode none, range 19
Mean = 69 ÷ 5 = 13.8. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 20 − 1 = 19.
3. Mean 11.8, median 15, mode 15, range 12
Mean = 59 ÷ 5 = 11.8. Median = middle value in order = 15. Mode = most common = 15. Range = 16 − 4 = 12.
4. Mean 9.6, median 10, mode none, range 13
Mean = 48 ÷ 5 = 9.6. Median = middle value in order = 10. Mode = most common = no repeated value. Range = 15 − 2 = 13.
5. Mean 22.71, median 22, mode none, range 29
Mean = 159 ÷ 7 = 22.71. Median = middle value in order = 22. Mode = most common = no repeated value. Range = 35 − 6 = 29.
6. Mean 15.71, median 14, mode none, range 29
Mean = 110 ÷ 7 = 15.71. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 32 − 3 = 29.
7. Mean 24.43, median 26, mode none, range 28
Mean = 171 ÷ 7 = 24.43. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 39 − 11 = 28.
8. Mean 14.57, median 15, mode 15, range 24
Mean = 102 ÷ 7 = 14.57. Median = middle value in order = 15. Mode = most common = 15. Range = 30 − 6 = 24.
9. Mean 33, median 38, mode none, range 49
Mean = 297 ÷ 9 = 33. Median = middle value in order = 38. Mode = most common = no repeated value. Range = 51 − 2 = 49.
10. Mean 20.78, median 11, mode 10 and 11, range 54
Mean = 187 ÷ 9 = 20.78. Median = middle value in order = 11. Mode = most common = 10 and 11. Range = 60 − 6 = 54.
11. Mean 30.89, median 29, mode none, range 46
Mean = 278 ÷ 9 = 30.89. Median = middle value in order = 29. Mode = most common = no repeated value. Range = 55 − 9 = 46.
12. Mean 39.22, median 42, mode 45, range 30
Mean = 353 ÷ 9 = 39.22. Median = middle value in order = 42. Mode = most common = 45. Range = 55 − 25 = 30.
Worked examples
For the data 11, 12, 19, 20, 20, find the mean, median, mode and range.
- Mean = 82 ÷ 5 = 16.4.
- Median = middle value in order = 19.
- Mode = most common = 20.
- Range = 20 − 11 = 9.
- Answer: Mean 16.4, median 19, mode 20, range 9
For the data 1, 2, 2, 10, 11, 22, 40, find the mean, median, mode and range.
- Mean = 88 ÷ 7 = 12.57.
- Median = middle value in order = 10.
- Mode = most common = 2.
- Range = 40 − 1 = 39.
- Answer: Mean 12.57, median 10, mode 2, range 39
For the data 2, 3, 10, 10, 20, 30, 41, 53, 53, find the mean, median, mode and range.
- Mean = 222 ÷ 9 = 24.67.
- Median = middle value in order = 20.
- Mode = most common = 10 and 53.
- Range = 53 − 2 = 51.
- Answer: Mean 24.67, median 20, mode 10 and 53, range 51
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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