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.) 1792 1647 1321 1614 1450 1867 1443 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. 1592 Then find each of the deviations x, -x and their squares. What is the sum of the deviations? 92600x Calculate the variance as an average of the squared deviations (remember to divide by n-1). 27514.28571X Finally, obtain s as the square root of the variance. (Round your answer to two decimal places.) 165.87X eBook

Explanation / Answer

1)from above xbar =1592

2) (xi-xbar )=0

3) variance =38700

4)std deviation =196.72

S.No X (X-) (X-)2 1 1792 200.000 40000.0000 2 1647 55.000 3025.0000 3 1321 -271.000 73441.0000 4 1614 22.000 484.0000 5 1460 -132.000 17424.0000 6 1867 275.000 75625.0000 7 1443 -149.000 22201.0000 x= 11144 0 232200.0000 xbar=x/n= 1592.000 s2=(x-xbar)2/(n-1)= 38700.0000 s = 196.7232

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