Free Grade 3 Working with Averages from Tables Essentials Flashcards
Free Grade 3 flashcards for Working with Averages from Tables 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 averages from tables essentials
Identify working with averages from tables essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with averages from tables essentials
Explain working with averages from tables essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with averages from tables essentials
Calculate working with averages from tables essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with averages from tables essentials
Compare working with averages from tables 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 Averages from Tables 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 3, 5, 7, 7, 19, find the mean, median, mode and range.[1]
- 2.For the data 1, 10, 10, 16, 20, find the mean, median, mode and range.[1]
- 3.For the data 3, 7, 7, 17, 19, find the mean, median, mode and range.[1]
- 4.For the data 9, 9, 11, 17, 20, find the mean, median, mode and range.[1]
- 5.For the data 3, 12, 13, 17, 26, 29, 31, find the mean, median, mode and range.[2]
- 6.For the data 1, 9, 13, 18, 22, 27, 38, find the mean, median, mode and range.[2]
- 7.For the data 2, 5, 11, 13, 14, 40, 40, find the mean, median, mode and range.[2]
- 8.For the data 3, 4, 28, 31, 33, 34, 40, find the mean, median, mode and range.[2]
- 9.For the data 1, 3, 6, 23, 25, 26, 31, 41, 49, find the mean, median, mode and range.[3]
- 10.For the data 2, 6, 11, 11, 21, 28, 46, 57, 58, find the mean, median, mode and range.[3]
- 11.For the data 4, 12, 36, 37, 37, 48, 49, 50, 50, find the mean, median, mode and range.[3]
- 12.For the data 14, 20, 26, 28, 40, 43, 44, 50, 59, find the mean, median, mode and range.[3]
Show answers and working
1. Mean 8.2, median 7, mode 7, range 16
Mean = 41 ÷ 5 = 8.2. Median = middle value in order = 7. Mode = most common = 7. Range = 19 − 3 = 16.
2. Mean 11.4, median 10, mode 10, range 19
Mean = 57 ÷ 5 = 11.4. Median = middle value in order = 10. Mode = most common = 10. Range = 20 − 1 = 19.
3. Mean 10.6, median 7, mode 7, range 16
Mean = 53 ÷ 5 = 10.6. Median = middle value in order = 7. Mode = most common = 7. Range = 19 − 3 = 16.
4. Mean 13.2, median 11, mode 9, range 11
Mean = 66 ÷ 5 = 13.2. Median = middle value in order = 11. Mode = most common = 9. Range = 20 − 9 = 11.
5. Mean 18.71, median 17, mode none, range 28
Mean = 131 ÷ 7 = 18.71. Median = middle value in order = 17. Mode = most common = no repeated value. Range = 31 − 3 = 28.
6. Mean 18.29, median 18, mode none, range 37
Mean = 128 ÷ 7 = 18.29. Median = middle value in order = 18. Mode = most common = no repeated value. Range = 38 − 1 = 37.
7. Mean 17.86, median 13, mode 40, range 38
Mean = 125 ÷ 7 = 17.86. Median = middle value in order = 13. Mode = most common = 40. Range = 40 − 2 = 38.
8. Mean 24.71, median 31, mode none, range 37
Mean = 173 ÷ 7 = 24.71. Median = middle value in order = 31. Mode = most common = no repeated value. Range = 40 − 3 = 37.
9. Mean 22.78, median 25, mode none, range 48
Mean = 205 ÷ 9 = 22.78. Median = middle value in order = 25. Mode = most common = no repeated value. Range = 49 − 1 = 48.
10. Mean 26.67, median 21, mode 11, range 56
Mean = 240 ÷ 9 = 26.67. Median = middle value in order = 21. Mode = most common = 11. Range = 58 − 2 = 56.
11. Mean 35.89, median 37, mode 37 and 50, range 46
Mean = 323 ÷ 9 = 35.89. Median = middle value in order = 37. Mode = most common = 37 and 50. Range = 50 − 4 = 46.
12. Mean 36, median 40, mode none, range 45
Mean = 324 ÷ 9 = 36. Median = middle value in order = 40. Mode = most common = no repeated value. Range = 59 − 14 = 45.
Worked examples
For the data 4, 5, 7, 16, 19, find the mean, median, mode and range.
- Mean = 51 ÷ 5 = 10.2.
- Median = middle value in order = 7.
- Mode = most common = no repeated value.
- Range = 19 − 4 = 15.
- Answer: Mean 10.2, median 7, mode none, range 15
For the data 1, 4, 12, 22, 29, 38, 39, find the mean, median, mode and range.
- Mean = 145 ÷ 7 = 20.71.
- Median = middle value in order = 22.
- Mode = most common = no repeated value.
- Range = 39 − 1 = 38.
- Answer: Mean 20.71, median 22, mode none, range 38
For the data 5, 18, 20, 28, 37, 46, 47, 48, 59, find the mean, median, mode and range.
- Mean = 308 ÷ 9 = 34.22.
- Median = middle value in order = 37.
- Mode = most common = no repeated value.
- Range = 59 − 5 = 54.
- Answer: Mean 34.22, median 37, mode none, range 54
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 Averages from Tables. Each one has its own free lesson, worksheet and quiz.
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- Move on to Working with Averages from Tables Techniques, Working with Averages from Tables Word Problems, Working with Averages from Tables Common Errors, Introducing Averages from Tables, which build directly on this idea.
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