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ID: 3200514 • Letter: T
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to see your WebAssign assignments or grades Get access now. AM MST After that date you will no longer be O points Previous Answers Mraosuutt 1Eoro dieting, and exercise. He A person's metabolic rate is the rate at which the body consumes energy. Metabolic rate is important in studies of weight gain, metabolic rates of7 men who took part in a study of deting. Che unts are calories per 24 hours These are the 1460 1867 1420 1747 1629 1344 1614 calculate the mean and standard deviation of the metabolc rates, showing each step in detaiL First find the mean x by summing the 7 observations and dividing by 7. Then find each of the deviations and their souares, what is the sum of the deviations? to divide by calculate the variance as an average of the squared deviations (remember Finally, obtain s as the square root of the variance (Round Your answer to two decimal places.)Explanation / Answer
(a) Mean = sum of data/number of data = (1747 + 1629 + 1344 + 1614 + 1460 + 1867 + 1420)/7 = 1583
(b) Deviations from the mean are 164, 46, -239, 31, -123, 284, -163 and their sum is 0
The squared deviations are 26896, 2116, 57121, 961, 15129, 80656, 26569
(c) Variance = sum of squared deviations/(n - 1) = (26896 + 2116 + 57121 + 961 + 15129 + 80656 + 26569)/6 = 34908
(d) Standard deviation = Variance = 34908 = 186.84
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