Free Grade 3 Introduction to Introducing Range Techniques Flashcards
Free Grade 3 flashcards for Introduction to Introducing Range Techniques: 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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15 min
24
Learning objectives
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- RememberIdentify introduction to introducing range techniques
Identify introduction to introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introduction to introducing range techniques
Explain introduction to introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to introducing range techniques
Calculate introduction to introducing range techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to introducing range techniques
Compare introduction to introducing range techniques 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 Introduction to Introducing Range Techniques 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 5, 6, 12, 12, 18, find the mean, median, mode and range.[1]
- 2.For the data 6, 11, 12, 12, 20, find the mean, median, mode and range.[1]
- 3.For the data 3, 5, 14, 15, 20, find the mean, median, mode and range.[1]
- 4.For the data 1, 4, 6, 7, 9, find the mean, median, mode and range.[1]
- 5.For the data 6, 19, 20, 22, 24, 24, 39, find the mean, median, mode and range.[2]
- 6.For the data 6, 8, 10, 18, 21, 32, 36, find the mean, median, mode and range.[2]
- 7.For the data 5, 24, 25, 25, 27, 35, 39, find the mean, median, mode and range.[2]
- 8.For the data 14, 14, 27, 30, 30, 31, 32, find the mean, median, mode and range.[2]
- 9.For the data 4, 4, 12, 22, 26, 26, 34, 34, 50, find the mean, median, mode and range.[3]
- 10.For the data 4, 9, 21, 30, 37, 38, 48, 55, 55, find the mean, median, mode and range.[3]
- 11.For the data 8, 11, 15, 32, 35, 35, 54, 54, 58, find the mean, median, mode and range.[3]
- 12.For the data 2, 4, 9, 26, 30, 32, 57, 58, 60, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 10.6, median 12, mode 12, range 13
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 12. Mode = most common = 12. Range = 18 − 5 = 13.
2. Mean 12.2, median 12, mode 12, range 14
Mean = 61 ÷ 5 = 12.2. Median = middle value in order = 12. Mode = most common = 12. Range = 20 − 6 = 14.
3. Mean 11.4, median 14, mode none, range 17
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 20 − 3 = 17.
4. Mean 5.4, median 6, mode none, range 8
Mean = 27 ÷ 5 = 5.4. Median = middle value in order = 6. Mode = most common = no repeated value. Range = 9 − 1 = 8.
5. Mean 22, median 22, mode 24, range 33
Mean = 154 ÷ 7 = 22. Median = middle value in order = 22. Mode = most common = 24. Range = 39 − 6 = 33.
6. Mean 18.71, median 18, mode none, range 30
Mean = 131 ÷ 7 = 18.71. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 36 − 6 = 30.
7. Mean 25.71, median 25, mode 25, range 34
Mean = 180 ÷ 7 = 25.71. Median = middle value in order = 25. Mode = most common = 25. Range = 39 − 5 = 34.
8. Mean 25.43, median 30, mode 14 and 30, range 18
Mean = 178 ÷ 7 = 25.43. Median = middle value in order = 30. Mode = most common = 14 and 30. Range = 32 − 14 = 18.
9. Mean 23.56, median 26, mode 4 and 26 and 34, range 46
Mean = 212 ÷ 9 = 23.56. Median = middle value in order = 26. Mode = most common = 4 and 26 and 34. Range = 50 − 4 = 46.
10. Mean 33, median 37, mode 55, range 51
Mean = 297 ÷ 9 = 33. Median = middle value in order = 37. Mode = most common = 55. Range = 55 − 4 = 51.
11. Mean 33.56, median 35, mode 35 and 54, range 50
Mean = 302 ÷ 9 = 33.56. Median = middle value in order = 35. Mode = most common = 35 and 54. Range = 58 − 8 = 50.
12. Mean 30.89, median 30, mode none, range 58
Mean = 278 ÷ 9 = 30.89. Median = middle value in order = 30. Mode = most common = no repeated value. Range = 60 − 2 = 58.
Worked examples
For the data 2, 16, 16, 17, 20, find the mean, median, mode and range.
- Mean = 71 ÷ 5 = 14.2.
- Median = middle value in order = 16.
- Mode = most common = 16.
- Range = 20 − 2 = 18.
- Answer: Mean 14.2, median 16, mode 16, range 18
For the data 3, 6, 11, 16, 19, 35, 38, find the mean, median, mode and range.
- Mean = 128 ÷ 7 = 18.29.
- Median = middle value in order = 16.
- Mode = most common = no repeated value.
- Range = 38 − 3 = 35.
- Answer: Mean 18.29, median 16, mode none, range 35
For the data 12, 14, 14, 24, 28, 28, 32, 55, 60, find the mean, median, mode and range.
- Mean = 267 ÷ 9 = 29.67.
- Median = middle value in order = 28.
- Mode = most common = 14 and 28.
- Range = 60 − 12 = 48.
- Answer: Mean 29.67, median 28, mode 14 and 28, range 48
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 Introducing Range Essentials. Each one has its own free lesson, worksheet and quiz.
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- Move on to Key Vocabulary of Introducing Range Techniques, Rules and Methods in Introducing Range Techniques, Working with Introducing Range Techniques, Introducing Range Techniques in Examinations, which build directly on this idea.
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