Free Grade 3 Working with Introducing Range Essentials Flashcards
Free Grade 3 flashcards for Working with Introducing Range Essentials: 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing range essentials
Identify working with introducing range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range essentials
Explain working with introducing range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range essentials
Calculate working with introducing range essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range essentials
Compare working with introducing range essentials 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 Essentials 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 4, 4, 6, 7, 12, find the mean, median, mode and range.[1]
- 2.For the data 3, 4, 7, 8, 17, find the mean, median, mode and range.[1]
- 3.For the data 4, 8, 12, 17, 19, find the mean, median, mode and range.[1]
- 4.For the data 6, 9, 12, 13, 14, find the mean, median, mode and range.[1]
- 5.For the data 16, 18, 26, 28, 32, 37, 39, find the mean, median, mode and range.[2]
- 6.For the data 1, 5, 6, 8, 25, 33, 35, find the mean, median, mode and range.[2]
- 7.For the data 3, 9, 15, 16, 24, 36, 39, find the mean, median, mode and range.[2]
- 8.For the data 9, 22, 23, 26, 28, 29, 36, find the mean, median, mode and range.[2]
- 9.For the data 6, 22, 24, 25, 33, 36, 40, 42, 45, find the mean, median, mode and range.[3]
- 10.For the data 4, 8, 19, 22, 32, 34, 45, 51, 60, find the mean, median, mode and range.[3]
- 11.For the data 8, 8, 17, 25, 29, 34, 37, 44, 50, find the mean, median, mode and range.[3]
- 12.For the data 3, 16, 29, 34, 36, 43, 43, 46, 54, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 6.6, median 6, mode 4, range 8
Mean = 33 ÷ 5 = 6.6. Median = middle value in order = 6. Mode = most common = 4. Range = 12 − 4 = 8.
2. Mean 7.8, median 7, mode none, range 14
Mean = 39 ÷ 5 = 7.8. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 17 − 3 = 14.
3. Mean 12, median 12, mode none, range 15
Mean = 60 ÷ 5 = 12. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 19 − 4 = 15.
4. Mean 10.8, median 12, mode none, range 8
Mean = 54 ÷ 5 = 10.8. Median = middle value in order = 12. Mode = most common = no repeated value. Range = 14 − 6 = 8.
5. Mean 28, median 28, mode none, range 23
Mean = 196 ÷ 7 = 28. Median = middle value in order = 28. Mode = most common = no repeated value. Range = 39 − 16 = 23.
6. Mean 16.14, median 8, mode none, range 34
Mean = 113 ÷ 7 = 16.14. Median = middle value in order = 8. Mode = most common = no repeated value. Range = 35 − 1 = 34.
7. Mean 20.29, median 16, mode none, range 36
Mean = 142 ÷ 7 = 20.29. Median = middle value in order = 16. Mode = most common = no repeated value. Range = 39 − 3 = 36.
8. Mean 24.71, median 26, mode none, range 27
Mean = 173 ÷ 7 = 24.71. Median = middle value in order = 26. Mode = most common = no repeated value. Range = 36 − 9 = 27.
9. Mean 30.33, median 33, mode none, range 39
Mean = 273 ÷ 9 = 30.33. Median = middle value in order = 33. Mode = most common = no repeated value. Range = 45 − 6 = 39.
10. Mean 30.56, median 32, mode none, range 56
Mean = 275 ÷ 9 = 30.56. Median = middle value in order = 32. Mode = most common = no repeated value. Range = 60 − 4 = 56.
11. Mean 28, median 29, mode 8, range 42
Mean = 252 ÷ 9 = 28. Median = middle value in order = 29. Mode = most common = 8. Range = 50 − 8 = 42.
12. Mean 33.78, median 36, mode 43, range 51
Mean = 304 ÷ 9 = 33.78. Median = middle value in order = 36. Mode = most common = 43. Range = 54 − 3 = 51.
Worked examples
For the data 3, 3, 4, 8, 17, find the mean, median, mode and range.
- Mean = 35 ÷ 5 = 7.
- Median = middle value in order = 4.
- Mode = most common = 3.
- Range = 17 − 3 = 14.
- Answer: Mean 7, median 4, mode 3, range 14
For the data 1, 1, 6, 20, 21, 37, 40, find the mean, median, mode and range.
- Mean = 126 ÷ 7 = 18.
- Median = middle value in order = 20.
- Mode = most common = 1.
- Range = 40 − 1 = 39.
- Answer: Mean 18, median 20, mode 1, range 39
For the data 4, 8, 15, 17, 22, 36, 36, 50, 53, find the mean, median, mode and range.
- Mean = 241 ÷ 9 = 26.78.
- Median = middle value in order = 22.
- Mode = most common = 36.
- Range = 53 − 4 = 49.
- Answer: Mean 26.78, median 22, mode 36, 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.
Assessment objectives
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- What should a learner already know before this?
- Start with Rules and Methods in Introducing Range Essentials, Key Vocabulary of Introducing Range Essentials, Mode. Each one has its own free lesson, worksheet and quiz.
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- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Working with Introducing Range Essentials?
- Move on to Introducing Range Essentials in Examinations, Introducing Range Techniques, Introducing Range Word Problems, Introducing Range Common Errors, which build directly on this idea.
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