Meanm Median, Mode & Range – Foundation – GCSE Questions – AQA

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Presentation transcript:

Meanm Median, Mode & Range – Foundation – 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.

Printing To print handouts from slides - Select the slide from the left. Then click: File > Print > ‘Print Current Slide’ To print multiple slides - Click on a section title to highlight all those slides, or press ‘Ctrl’ at the same time as selecting slides to highlight more than one. Then click: File > Print > ‘Print Selection’ To print double-sided handouts - Highlight both slides before using ‘Print Selection’. Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

AQA Foundation: November 2017 Paper 3, Q19 The following data comes from a large sample survey of the crowd at a football match. 1 The following data comes from a large sample survey of the crowd at a football match. Percentage Mean age (years) Age Range (years) Male 76% 32.5 22 Female 24% 43.5 8 Percentage Mean age (years) Age Range (years) Male 76% 32.5 22 Female 24% 43.5 8 Make three comparisons of males and females at the football match. Use the headings given. Make three comparisons of males and females at the football match. Use the headings given. [3 marks] [3 marks] Proportion of the crowd Proportion of the crowd Average Age Average Age Spread of ages Spread of ages

AQA Foundation: November 2017 Paper 2, Q18 Here are five cards. 1 Here are five cards. 6 4 8 2 10 6 4 8 2 10 One of the cards is removed. The mean of the numbers on the remaining four cards is 5 Which card was removed? You must show your working. One of the cards is removed. The mean of the numbers on the remaining four cards is 5 Which card was removed? You must show your working. [3 marks] [3 marks] Answer Answer AQA Foundation: November 2017 Paper 2, Q18 AQA Foundation: November 2017 Paper 2, Q18 1 Here are five cards. 1 Here are five cards. 6 4 8 2 10 6 4 8 2 10 One of the cards is removed. The mean of the numbers on the remaining four cards is 5 Which card was removed? You must show your working. One of the cards is removed. The mean of the numbers on the remaining four cards is 5 Which card was removed? You must show your working. [3 marks] [3 marks] Answer Answer

AQA Foundation: June 2017 Paper 2, Q7 Here is a list of numbers. Work out the median. 1 Here is a list of numbers. Work out the median. 30, 18, 20, 28, 22, 15, 21, 31, 26 30, 18, 20, 28, 22, 15, 21, 31, 26 [2 marks] [2 marks] Answer Answer 2 Here is a list of numbers. Work out the median. 2 Here is a list of numbers. Work out the median. 17, 23, 6, 6, 8, 23, 15 17, 23, 6, 6, 8, 23, 15 [2 marks] [2 marks] Answer Answer AQA Foundation: June 2017 Paper 2, Q7 AQA Foundation: June 2017 Paper 2, Q7 1 Here is a list of numbers. Work out the median. 1 Here is a list of numbers. Work out the median. 30, 18, 20, 28, 22, 15, 21, 31, 26 30, 18, 20, 28, 22, 15, 21, 31, 26 [2 marks] [2 marks] Answer Answer 2 Here is a list of numbers. Work out the median. 2 Here is a list of numbers. Work out the median. 17, 23, 6, 6, 8, 23, 15 17, 23, 6, 6, 8, 23, 15 [2 marks] [2 marks] Answer Answer

AQA Foundation: May 2017 Paper 1, Q25 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 Foundation: May 2018 Paper 1, Q29 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 Foundation: May 2018 Paper 1, Q29 AQA Foundation: May 2018 Paper 1, Q29 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 Foundation: November 2017 Paper 3, Q19 The following data comes from a large sample survey of the crowd at a football match. Percentage Mean age (years) Age Range (years) Male 76% 32.5 22 Female 24% 43.5 8 Make three comparisons of males and females at the football match. Use the headings given. [3 marks] Proportion of the crowd Average Age Spread of ages

AQA Foundation: May 2017 Paper 1, Q25 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

There were more males than females. AQA Foundation: November 2017 Paper 3, Q19 1 The following data comes from a large sample survey of the crowd at a football match. Percentage Mean age (years) Age Range (years) Male 76% 32.5 22 Female 24% 43.5 8 Make three comparisons of males and females at the football match. Use the headings given. [3 marks] Proportion of the crowd There were more males than females. Average Age The average age of the females was higher. Spread of ages The ages of the males was more spread out.

AQA Foundation: May 2017 Paper 1, Q25 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

tom@goteachmaths.co.uk Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk