13 Denzel wants to buy a car with a propulsion type other than petrol or diesel. He takes a sample, from the Large Data Set, of the CO2 emissions, in g/km, of cars with one particular propulsion type. The sample is as follows 82 13 96 49 96 92 70 81 13 (a) Using your knowledge of the Large Data Set, state which propulsion type this sample is for, giving a reason for your answer. [2 marks] 13 (b) Calculate the mean of the sample. [1 mark] 82+13+96+49+96+92+70+81 = S7q 579/ 8: 72. 375 13 (c) Calculate the standard deviation of the sample. [1 mark] Jun 19/7356/ 17 13 (d) Denzel claims that the value 13 is an outlier. 13 (d) (i) Any value more than 2 standard deviations from the mean can be regarded as an outlier. Verify that Denzel's claim is correct. [1 mark 13 (d) (ii) State what effect, if any, removing the value 13 from the sample would have on the standard deviation. [1 mark] Turn over for the next