Using the box plot below summarises the CO₂ emissions, in g/km, for cars in the Large Data Set from the London and North West regions. London 39 119 142 168 346 North West 13 118 129 155 356 12 (a) Using the box plot, give one comparison of central tendency and one comparison of range. 12 (b) Jaspal, an environmental researcher, used all of the data in the Large Data Set to produce a statistical comparison of the CO₂ and CO emissions in regions of England. Using your knowledge of the Large Data Set, give two reasons why his conclusions may be invalid.

A-Level AQA Maths Mechanics Quantities, Units & Modelling: Using the box plot below summari

Using the box plot below summarises the CO₂ emissions, in g/km, for cars in the Large Data Set from the London and North West regions - AQA - A-Level Maths Mechanics - Question 12 - 2020 - Paper 3

Question 12

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Using the box plot below summarises the CO₂ emissions, in g/km, for cars in the Large Data Set from the London and North West regions. London 39 119 142 168 346 N... show full transcript

Worked Solution & Example Answer:Using the box plot below summarises the CO₂ emissions, in g/km, for cars in the Large Data Set from the London and North West regions - AQA - A-Level Maths Mechanics - Question 12 - 2020 - Paper 3

Step 1

Using the box plot, give one comparison of central tendency

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Answer

The median CO₂ emissions for London is higher than the median for the North West. Specifically, the median for London is 142 g/km, whereas the median for the North West is 129 g/km.

Step 2

Using the box plot, give one comparison of range

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Answer

The range of CO₂ emissions for London is less than that for the North West. The range for London is calculated as 346 g/km - 39 g/km = 307 g/km, while for the North West, it is 356 g/km - 13 g/km = 343 g/km.

Step 3

Using your knowledge of the Large Data Set, give one reason why his conclusion may be invalid

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Answer

Not all makes of cars are included in the Large Data Set, which could lead to biased conclusions regarding CO₂ emissions.

Step 4

Using your knowledge of the Large Data Set, give a second reason why his conclusion may be invalid

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Answer

Not all English regions are included in the database, which may not provide a comprehensive picture of CO₂ emissions across the country.

Using the box plot below summarises the CO₂ emissions, in g/km, for cars in the Large Data Set from the London and North West regions - AQA - A-Level Maths Mechanics - Question 12 - 2020 - Paper 3

Worked Solution & Example Answer:Using the box plot below summarises the CO₂ emissions, in g/km, for cars in the Large Data Set from the London and North West regions - AQA - A-Level Maths Mechanics - Question 12 - 2020 - Paper 3

Using the box plot, give one comparison of central tendency

Using the box plot, give one comparison of range

Using your knowledge of the Large Data Set, give one reason why his conclusion may be invalid

Using your knowledge of the Large Data Set, give a second reason why his conclusion may be invalid

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