Mean, Median, Mode & Range – Higher – GCSE Questions – AQA These questions are the same format as previous GCSE exams. COPY means they use the exact same numbers as the original GCSE question. Otherwise, they are clone questions using different numbers. The worksheets are provided in 2 sizes.

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AQA Higher: November 2017 Paper 1, Q20 In two weeks, the number of hours of revision done by 10 students are 1 In two weeks, the number of hours of revision done by 10 students are 6 8 4 7 52 1 9 5 11 3 6 8 4 7 52 1 9 5 11 3 Which is the appropriate average to use in this situation? Tick a box. Which is the appropriate average to use in this situation? Tick a box. Mean Median Mode Mean Median Mode Give one reason for each of the other two averages as to why they are not appropriate. Give one reason for each of the other two averages as to why they are not appropriate. [2 marks] [2 marks] Reason 1 Reason 1 Reason 2 Reason 2 AQA Higher: November 2017 Paper 1, Q20 AQA Higher: November 2017 Paper 1, Q20 1 In two weeks, the number of hours of revision done by 10 students are 1 In two weeks, the number of hours of revision done by 10 students are 6 8 4 7 52 1 9 5 11 3 6 8 4 7 52 1 9 5 11 3 Which is the appropriate average to use in this situation? Tick a box. Which is the appropriate average to use in this situation? Tick a box. Mean Median Mode Mean Median Mode Give one reason for each of the other two averages as to why they are not appropriate. Give one reason for each of the other two averages as to why they are not appropriate. [2 marks] [2 marks] Reason 1 Reason 1 Reason 2 Reason 2

AQA Higher: June 2017 Paper 3, Q13 AQA Higher: June 2017 Paper 3, Q13 In a class of 24 students the mean height of the 16 girls is 1.41 metres the mean height of all 24 students is 1.48 metres. Work out the mean height of the boys. 1 In a class of 24 students the mean height of the 16 girls is 1.41 metres the mean height of all 24 students is 1.48 metres. Work out the mean height of the boys. [4 marks] [4 marks] Answer metres Answer metres AQA Higher: June 2017 Paper 3, Q13 AQA Higher: June 2017 Paper 3, Q13 1 In a class of 24 students the mean height of the 16 girls is 1.41 metres the mean height of all 24 students is 1.48 metres. Work out the mean height of the boys. 1 In a class of 24 students the mean height of the 16 girls is 1.41 metres the mean height of all 24 students is 1.48 metres. Work out the mean height of the boys. [4 marks] [4 marks] Answer metres Answer metres

AQA Higher: May 2017 Paper 1, Q6 AQA Higher: May 2017 Paper 1, Q6 1 The table shows information about the times for 10 people to complete a task. 1 The table shows information about the times for 10 people to complete a task. Time, t (minutes) Frequency 0 < t ⩽ 30 5 30 < t ⩽ 60 4 60 < t ⩽ 90 1 Time, t (minutes) Frequency 0 < t ⩽ 30 5 30 < t ⩽ 60 4 60 < t ⩽ 90 1 These statements are about the mean and range of the actual times. Tick the correct box for each statement. These statements are about the mean and range of the actual times. Tick the correct box for each statement. [4 marks] [4 marks] True False True False The mean could be less than 30 minutes The mean could be less than 30 minutes The mean could be more than 60 minutes The mean could be more than 60 minutes The mean could be more than 30 minutes The mean could be more than 30 minutes The range could be more than 90 minutes The range could be more than 90 minutes The range could be less than 30 minutes The range could be less than 30 minutes The range could be more than 40 minutes The range could be more than 40 minutes

AQA Higher: May 2018 Paper 1, Q9 AQA Higher: May 2018 Paper 1, Q9 The range of a set of numbers is 12 1 5 The smallest number is −3 9 10 Work out the largest number. The range of a set of numbers is 12 1 5 The smallest number is −3 9 10 Work out the largest number. 1 1 [3 marks] [3 marks] Answer Answer AQA Higher: May 2018 Paper 1, Q9 AQA Higher: May 2018 Paper 1, Q9 The range of a set of numbers is 12 1 5 The smallest number is −3 9 10 Work out the largest number. The range of a set of numbers is 12 1 5 The smallest number is −3 9 10 Work out the largest number. 1 1 [3 marks] [3 marks] Answer Answer

AQA Higher: May 2017 Paper 1, Q6 1 The table shows information about the times for 10 people to complete a task. Time, t (minutes) Frequency 0 < t ⩽ 30 5 30 < t ⩽ 60 4 60 < t ⩽ 90 1 These statements are about the mean and range of the actual times. Tick the correct box for each statement. [4 marks] True False The mean could be less than 30 minutes The mean could be more than 60 minutes The mean could be more than 30 minutes The range could be more than 90 minutes The range could be less than 30 minutes The range could be more than 40 minutes

AQA Higher: May 2017 Paper 1, Q6 1 The table shows information about the times for 10 people to complete a task. Time, t (minutes) Frequency 0 < t ⩽ 30 5 30 < t ⩽ 60 4 60 < t ⩽ 90 1 These statements are about the mean and range of the actual times. Tick the correct box for each statement. [4 marks] True False The mean could be less than 30 minutes The mean could be more than 60 minutes The mean could be more than 30 minutes The range could be more than 90 minutes The range could be less than 30 minutes The range could be more than 40 minutes

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