Free Grade 3 Working with Introducing Range Essentials: Step-by-step Method Quizzes
Free Grade 3 quizzes for Working with Introducing Range Essentials: Step-by-step Method: 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 essentials: step-by-step method
Identify working with introducing range essentials: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing range essentials: step-by-step method
Explain working with introducing range essentials: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing range essentials: step-by-step method
Calculate working with introducing range essentials: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing range essentials: step-by-step method
Compare working with introducing range essentials: step-by-step method 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: Step-by-step Method 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 7, 12, 14, 17, 18, find the mean, median, mode and range.[1]
- 2.For the data 5, 6, 7, 12, 14, find the mean, median, mode and range.[1]
- 3.For the data 4, 5, 9, 10, 17, find the mean, median, mode and range.[1]
- 4.For the data 3, 4, 5, 12, 20, find the mean, median, mode and range.[1]
- 5.For the data 1, 8, 11, 14, 21, 32, 34, find the mean, median, mode and range.[2]
- 6.For the data 6, 12, 18, 21, 28, 36, 39, find the mean, median, mode and range.[2]
- 7.For the data 1, 11, 17, 27, 31, 36, 39, find the mean, median, mode and range.[2]
- 8.For the data 8, 8, 9, 26, 28, 28, 36, find the mean, median, mode and range.[2]
- 9.For the data 2, 5, 12, 23, 31, 39, 43, 46, 52, find the mean, median, mode and range.[3]
- 10.For the data 22, 24, 25, 31, 33, 40, 41, 58, 60, find the mean, median, mode and range.[3]
- 11.For the data 15, 23, 32, 42, 44, 49, 51, 53, 57, find the mean, median, mode and range.[3]
- 12.For the data 11, 23, 34, 35, 43, 46, 46, 51, 53, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 13.6, median 14, mode none, range 11
Mean = 68 ÷ 5 = 13.6. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 18 − 7 = 11.
2. Mean 8.8, median 7, mode none, range 9
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 7. Mode = most common = no repeated value. Range = 14 − 5 = 9.
3. Mean 9, median 9, mode none, range 13
Mean = 45 ÷ 5 = 9. Median = middle value in order = 9. Mode = most common = no repeated value. Range = 17 − 4 = 13.
4. Mean 8.8, median 5, mode none, range 17
Mean = 44 ÷ 5 = 8.8. Median = middle value in order = 5. Mode = most common = no repeated value. Range = 20 − 3 = 17.
5. Mean 17.29, median 14, mode none, range 33
Mean = 121 ÷ 7 = 17.29. Median = middle value in order = 14. Mode = most common = no repeated value. Range = 34 − 1 = 33.
6. Mean 22.86, median 21, mode none, range 33
Mean = 160 ÷ 7 = 22.86. Median = middle value in order = 21. Mode = most common = no repeated value. Range = 39 − 6 = 33.
7. Mean 23.14, median 27, mode none, range 38
Mean = 162 ÷ 7 = 23.14. Median = middle value in order = 27. Mode = most common = no repeated value. Range = 39 − 1 = 38.
8. Mean 20.43, median 26, mode 8 and 28, range 28
Mean = 143 ÷ 7 = 20.43. Median = middle value in order = 26. Mode = most common = 8 and 28. Range = 36 − 8 = 28.
9. Mean 28.11, median 31, mode none, range 50
Mean = 253 ÷ 9 = 28.11. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 52 − 2 = 50.
10. Mean 37.11, median 33, mode none, range 38
Mean = 334 ÷ 9 = 37.11. Median = middle value in order = 33. Mode = most common = no repeated value. Range = 60 − 22 = 38.
11. Mean 40.67, median 44, mode none, range 42
Mean = 366 ÷ 9 = 40.67. Median = middle value in order = 44. Mode = most common = no repeated value. Range = 57 − 15 = 42.
12. Mean 38, median 43, mode 46, range 42
Mean = 342 ÷ 9 = 38. Median = middle value in order = 43. Mode = most common = 46. Range = 53 − 11 = 42.
Worked examples
For the data 5, 8, 9, 16, 18, find the mean, median, mode and range.
- Mean = 56 ÷ 5 = 11.2.
- Median = middle value in order = 9.
- Mode = most common = no repeated value.
- Range = 18 − 5 = 13.
- Answer: Mean 11.2, median 9, mode none, range 13
For the data 4, 12, 13, 16, 16, 16, 17, find the mean, median, mode and range.
- Mean = 94 ÷ 7 = 13.43.
- Median = middle value in order = 16.
- Mode = most common = 16.
- Range = 17 − 4 = 13.
- Answer: Mean 13.43, median 16, mode 16, range 13
For the data 3, 4, 6, 11, 19, 33, 46, 48, 59, find the mean, median, mode and range.
- Mean = 229 ÷ 9 = 25.44.
- Median = middle value in order = 19.
- Mode = most common = no repeated value.
- Range = 59 − 3 = 56.
- Answer: Mean 25.44, median 19, mode none, range 56
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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