Question 1 Easy
Find the range of 2, 15 and 6.
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Answer: 13
- Subtract the smallest from the largest.
- The value is 13.
- Method (1): Subtract the smallest from the largest.
- Accuracy (1): Answer 13
Averages practice questions with answers
A second set of averages questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.
More questions
Question 2 Easy
The numbers are 4, 4, 4, 9. What is the mode?
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Answer: 4
- The mode is the number that appears most often.
- The value is 4.
- Method (1): The mode is the number that appears most often.
- Accuracy (1): Answer 4
Question 3 Medium
The ages are 11, 14, 18 and 21. What is the median?
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Answer: 16
- Order them.
- Average the 2nd and 3rd.
- Method (1): Order them.
- Accuracy (1): Answer 16
Question 4 Medium
The range of 4, 10 and 7 is found. Then the 4 is replaced by 6. What is the new range?
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Answer: 4
- The largest is unchanged.
- The new smallest is 6.
- Method (1): The largest is unchanged.
- Accuracy (1): Answer 4
Question 5 Hard
The numbers 1, 5 and 9 have a median. What is it?
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Answer: 5
- With three numbers, the median is the middle one once they are ordered.
- The value is 5.
- Method (1): With three numbers, the median is the middle one once they are ordered.
- Accuracy (1): Answer 5
Question 6 Hard
The scores are 2, 6 and 10. Give the mean and the range, mean first.
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Answer: 6, 8
- The mean is the middle score.
- The range is 8.
- Method (1): The mean is the middle score.
- Accuracy (1): Answer 6, 8
Exam-style question
A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.
Exam-style question 12 marks
A group of 3 has mean 7. Another value is 15. What is the mean of all four numbers?
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Answer: 9
- The first total is 21.
- Add 15 and divide by 4.
- Method (1): The first total is 21.
- Accuracy (1): Answer 9
Quick checks
Short one-step questions. Pick an option before you open the answer.
Check 1
Find the mean of 21, 28, 22, 25.
- 24
- 26
- 34
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24 The result is 24.
Check 2
Find the median of 30, 24, 33, 29, 26.
- 29
- 31
- 39
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29 The result is 29.
Check 3
Find the range of 10, 15, 7, 6, 12.
- 9
- 11
- 19
Show answer
9 The result is 9.
Check 4
Find the mode of 5, 7, 5, 11, 7, 5.
- 5
- 7
- 15
Show answer
5 The result is 5.
Check 5
Five scores have a mean of 10. A sixth score of 16 is added. What is the mean of all six scores?
- 11
- 13
- 21
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11 The result is 11.
Check 6
Find the mean of 26, 33, 27, 30.
- 29
- 31
- 39
Show answer
29 The result is 29.
Check 7
Find the median of 34, 29, 37, 32.
- 33
- 35
- 43
Show answer
33 The result is 33.
Check 8
Find the range of 9, 15, 6, 5, 11.
- 10
- 12
- 20
Show answer
10 The result is 10.
Check 9
Find the mode of 3, 6, 3, 9, 6, 3.
- 3
- 5
- 13
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3 The result is 3.
Check 10
Five scores have a mean of 6. A sixth score of 18 is added. What is the mean of all six scores?
- 8
- 10
- 18
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8 The result is 8.
Check 11
Find the mean of 31, 38, 32, 35.
- 34
- 36
- 44
Show answer
34 The result is 34.
Check 12
Find the median of 40, 34, 43, 39, 36.
- 39
- 41
- 49
Show answer
39 The result is 39.
Check 13
Find the range of 8, 15, 5, 4, 10.
- 11
- 13
- 21
Show answer
11 The result is 11.
Check 14
Find the mode of 8, 10, 8, 14, 10, 8.
- 8
- 10
- 18
Show answer
8 The result is 8.
Check 15
Five scores have a mean of 7. A sixth score of 13 is added. What is the mean of all six scores?
- 8
- 10
- 18
Show answer
8 The result is 8.
Keep going with Averages
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AQA-style and Edexcel-style questions. Yumio is not affiliated with, endorsed by or connected to AQA, Pearson Edexcel or any other exam board.