Calculate the mean and standard deviation. If the temperatures had been measured

Question

Calculate the mean and standard deviation. If the temperatures had been measured in degrees centigrade, what would the mean and standard deviation be? [Hint: if F and C represent a given temperature in Fahrenheit and Centigrade, then C = (F - 32) times 5/9] The altitudes of four mountain states of about the same size are approximately as follows (feet above sea level): Arizona 4100 Nevada 5500 Colorado 6900 Wyoming 6700 To calculate the mean and standard deviation, it would be natural to just drop the last two Zeros. Would this give you the right answer? Why or why not? Then calculate the mean altitude and standard deviation. What are the mean and standard deviation in yards above sea level?

Explanation / Answer

a)It would give the right answer for mean as it is simple addition of 4 values all underwent same operation, but it would give wrong results for stnd deviation as it involves sqrt of sqres of the tersms and differences b) mean = 5800 * 0.333333 = 1933.33 stnd deviation = 140.59

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