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The table below shows an extract from the Large Data Set - AQA - A-Level Maths Mechanics - 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 Mechanics - 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.

96%

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Answer

The values in the table are not zero but have been rounded to the nearest whole number. According to the Large Data Set, the original values have been rounded, and thus, they could be assayed to have actual non-zero values.

Step 2

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

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Answer

If the unrounded values were used, it is likely that the change calculated using these figures would indicate a different result. The data set allows for a large number of decimal places, and utilizing these would present evidence supporting that the −29% is indeed correct.

Step 3

Deduce that Sarah's claim is incorrect.

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Answer

Therefore, Sarah's claim that there is no change between 2011 and 2014 is incorrect because it is based on the assumption that the values in the table accurately represent the raw data without acknowledging the rounding.

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