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The table below shows an extract from the Large Data Set - AQA - A-Level Maths Pure - Question 13 - 2018 - Paper 3

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The table below shows an extract from the Large Data Set. Year 2011 2012 2013 2014 Other takeaway food brought home 0 0 0 0 % change since 2011 −29 Sarah claims th... show full transcript

Worked Solution & Example Answer:The table below shows an extract from the Large Data Set - AQA - A-Level Maths Pure - Question 13 - 2018 - Paper 3

Step 1

Explain that the actual recorded values for 'Other takeaway food brought home' are non-zero but have been rounded to the nearest whole number

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Answer

The values in the table are rounded to the nearest whole number, suggesting that the actual recorded values for 'Other takeaway food brought home' are non-zero. Therefore, the zero values listed do not accurately reflect the data.

Step 2

Explain that if unrounded numbers were used, then the change could be calculated

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Answer

If the unrounded numbers were used, it would be possible to calculate the percentage change more accurately, as the data set may have been recorded with a larger number of decimal places. This could indicate that there was indeed a change reflected in the data that leads to the −29% change.

Step 3

Deduce that Sarah's claim is incorrect

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Answer

Given that the rounded values do not represent the actual data, Sarah's claim that the −29% change is incorrect cannot be substantiated, as the true values may demonstrate a valid change.

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