Free Grade 3 Working with Introducing Range Common Errors Flashcards
Free Grade 3 flashcards for Working with Introducing Range Common Errors: 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
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
Identify working with introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range common errors
Explain working with introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range common errors
Calculate working with introducing range common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range common errors
Compare working with introducing range common errors 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 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, 10, 10, 13, 17, find the mean, median, mode and range.[1]
- 2.For the data 1, 4, 15, 17, 19, find the mean, median, mode and range.[1]
- 3.For the data 1, 11, 12, 14, 19, find the mean, median, mode and range.[1]
- 4.For the data 2, 2, 13, 17, 19, find the mean, median, mode and range.[1]
- 5.For the data 3, 6, 7, 8, 8, 28, 35, find the mean, median, mode and range.[2]
- 6.For the data 14, 14, 19, 20, 23, 24, 27, find the mean, median, mode and range.[2]
- 7.For the data 1, 17, 19, 25, 32, 35, 37, find the mean, median, mode and range.[2]
- 8.For the data 3, 3, 18, 18, 18, 22, 25, find the mean, median, mode and range.[2]
- 9.For the data 11, 18, 24, 37, 38, 42, 44, 55, 58, find the mean, median, mode and range.[3]
- 10.For the data 9, 11, 19, 45, 47, 49, 54, 55, 60, find the mean, median, mode and range.[3]
- 11.For the data 12, 17, 19, 20, 23, 29, 37, 43, 47, find the mean, median, mode and range.[3]
- 12.For the data 3, 14, 16, 29, 32, 39, 40, 49, 51, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 10.2, median 10, mode 10, range 16
Mean = 51 ÷ 5 = 10.2. Median = middle value in order = 10. Mode = most common = 10. Range = 17 − 1 = 16.
2. Mean 11.2, median 15, mode none, range 18
Mean = 56 ÷ 5 = 11.2. Median = middle value in order = 15. Mode = most common = no repeated value. Range = 19 − 1 = 18.
3. Mean 11.4, median 12, mode none, range 18
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 19 − 1 = 18.
4. Mean 10.6, median 13, mode 2, range 17
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 13. Mode = most common = 2. Range = 19 − 2 = 17.
5. Mean 13.57, median 8, mode 8, range 32
Mean = 95 ÷ 7 = 13.57. Median = middle value in order = 8. Mode = most common = 8. Range = 35 − 3 = 32.
6. Mean 20.14, median 20, mode 14, range 13
Mean = 141 ÷ 7 = 20.14. Median = middle value in order = 20. Mode = most common = 14. Range = 27 − 14 = 13.
7. Mean 23.71, median 25, mode none, range 36
Mean = 166 ÷ 7 = 23.71. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 37 − 1 = 36.
8. Mean 15.29, median 18, mode 18, range 22
Mean = 107 ÷ 7 = 15.29. Median = middle value in order = 18. Mode = most common = 18. Range = 25 − 3 = 22.
9. Mean 36.33, median 38, mode none, range 47
Mean = 327 ÷ 9 = 36.33. Median = middle value in order = 38. Mode = most common = no repeated value. Range = 58 − 11 = 47.
10. Mean 38.78, median 47, mode none, range 51
Mean = 349 ÷ 9 = 38.78. Median = middle value in order = 47. Mode = most common = no repeated value. Range = 60 − 9 = 51.
11. Mean 27.44, median 23, mode none, range 35
Mean = 247 ÷ 9 = 27.44. Median = middle value in order = 23. Mode = most common = no repeated value. Range = 47 − 12 = 35.
12. Mean 30.33, median 32, mode none, range 48
Mean = 273 ÷ 9 = 30.33. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 51 − 3 = 48.
Worked examples
For the data 13, 16, 18, 20, 20, find the mean, median, mode and range.
- Mean = 87 ÷ 5 = 17.4.
- Median = middle value in order = 18.
- Mode = most common = 20.
- Range = 20 − 13 = 7.
- Answer: Mean 17.4, median 18, mode 20, range 7
For the data 1, 4, 6, 11, 21, 25, 31, find the mean, median, mode and range.
- Mean = 99 ÷ 7 = 14.14.
- Median = middle value in order = 11.
- Mode = most common = no repeated value.
- Range = 31 − 1 = 30.
- Answer: Mean 14.14, median 11, mode none, range 30
For the data 11, 19, 23, 30, 37, 39, 39, 48, 60, find the mean, median, mode and range.
- Mean = 306 ÷ 9 = 34.
- Median = middle value in order = 37.
- Mode = most common = 39.
- Range = 60 − 11 = 49.
- Answer: Mean 34, median 37, mode 39, range 49
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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- Start with Rules and Methods in Introducing Range Common Errors, Key Vocabulary of Introducing Range Common Errors, Introducing Range Word Problems. Each one has its own free lesson, worksheet and quiz.
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- What comes next after Working with Introducing Range Common Errors?
- Move on to Introducing Range Common Errors in Examinations, Introducing Range Essentials, Introducing Range Techniques, Introducing Range Word Problems, which build directly on this idea.
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