17 The table below is an extract from the Large Data Set.
| Make | Region | Engine size | Mass | CO2 | CO |
| VAUXHALL | South West | 1398 | 1163 | 118 | 0.463 |
| VOLKSWAGEN | London | 999 | 1055 | 106 | 0.407 |
| VAUXHALL | South West | 1248 | 1225 | 85 | 0.141 |
| BMW | South West | 2979 | 1635 | 194 | 0.139 |
| TOYOTA | South West | 1995 | 1650 | 123 | 0.274 |
| BMW | South West | 2979 | 0 | 244 | 0.447 |
| FORD | South West | 1596 | 0 | 165 | 0.518 |
| TOYOTA | South West | 1299 | 1050 | 144 | |
| VAUXHALL | London | 1398 | 1361 | 140 | 0.695 |
| FORD | North West | 4951 | 1799 | 299 | 0.621 |
17
- Calculate the standard deviation of the engine sizes in the table.
[0pt]
[1 mark]
17
- (ii) The mean of the engine sizes is 2084
Any value more than 2 standard deviations from the mean can be identified as an outlier.
Using this definition of an outlier, show that the sample of engine sizes has exactly one outlier.
Fully justify your answer.
[0pt]
[3 marks]
17 - Rajan calculates the mean of the masses of the cars in this extract and states that it is 1094 kg.
Use your knowledge of the Large Data Set to suggest what error Rajan is likely to have made in his calculation.
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[1 mark]
17 - Rajan claims there is an error in the data recorded in the table for one of the Toyotas from the South West, because there is no value for its carbon monoxide emissions.
Use your knowledge of the Large Data Set to comment on Rajan's claim.
[0pt]
[1 mark]