Question 6 (For question 6, just write down the answer. No explanation is needed.) (a) Sam and Peter are classmates. In an examination, Sam gets 75 marks and Peter gets 89 marks. It is known that the standard normal score of Sam's marks is 0, z(Sam) = 0 and the standard normal score of Peter's marks is 1.75, z(Peter) = 1.75. Find the standard deviation of the examination marks. (b) The table below indicates the number of refund cases and the average amount of refund per case in January to March by a department store: January February March Number of refund cases 12 12 6 received in a month Average amount of refund $660 $780 $1000 per case in a month Find the overall average amount of refund per case between January and March. (c) In a city, the consumer price index in 2015, 2016, and 2017 were 100, 108.5, and 113.5 respectively. Cind 2016 2017

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