Question: 64 The mican and standard deviation of a sample may change if data are rescaled For a sain- ple with mean Y, adding a constant

64 The mican and standard deviation of a sample may change if data are rescaled For a sain- ple with mean Y, adding a constant c to each observation changes the mean to Y +

c. and the standard deviation s is unchanged. Multiplying each observation by changes the mean to c and the standard deviation to cls.

a) Scores on a difficult exam have a inean of 57 and a standard deviation of 20. The teacher boosts all the scores by 20 points before awarding grades Report the mean and standard deviation of the boosted scores.

b) Suppose that annual income has a mean of $39,000 and a standard deviation of $15,000. Values are converted to British pounds for presentation to a British audience If one British pound equals $1.50, report the mean and standard deviation in British currency

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