A person\'s metabolic rate is the rate at which the body consumes energy. Metabo

Question

A person's metabolic rate is the rate at which the body consumes energy. Metabolic rate is important in studies of weight gain, dieting, and exercise. Here are the metabolic rates of 7 men who took part in a study of dieting. (The units are calories per 24 hours. These are the same calories used to describe the energy content of foods.)

1798    1653    1347    1614    1460    1867    1426

Calculate the mean and standard deviation of the metabolic rates, showing each step in detail.

First find the mean

x

by summing the 7 observations and dividing by 7.
1

Then find each of the deviations

xi x

and their squares. What is the sum of the deviations?
2

Calculate the variance as an average of the squared deviations (remember to divide by

n 1).

3

Finally, obtain s as the square root of the variance. (Round your answer to two decimal places.)

Explanation / Answer

x d = x - x-bar d^2 1798 203 41209 1653 58 3364 1347 -248 61504 1614 19 361 1460 -135 18225 1867 272 73984 1426 -169 28561 N = 7 = 11165 227208 Mean, x-bar = x /N = 1595 Variance, s^2 = d^2 /(N - 1) = 37868.00 SD, s = (Variance) = 194.60

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