GRE

简答题 Which of the following data sets has thelargest standard deviation?

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D．
Rather than computethe standard deviation of each data set，it is enough to lookat their ranges．Data set A ranges from 4 to 8，thus its datacannot deviate more than 2(half of the diterence)up and down from its mean． Data set B ranges from 6 to 9，C from 12 to17，D from l to 9，and E from 3to 4．Data set D varies by 8，farmore than all the others．Furthermore，all of the data is at the extremes，either 1，2，8，or 9．This means that the standard deviation of data set D is close to 4，more than would be possible with any of the other data sets．

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