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.) 1730 1689 1326 1614 1460 1867 1430 Calculate the mean and standard deviation of the metabolic rates, showing each step in detail.

Answer 1

Answer:mean= 1588 and Standard deviation=190.99

Explanation:

Let m be mean

Mean= sum/ n

Mean= (1730+1689+1326+1614+1460+1867+1430) / 7

m= 11116 / 7

M= 1588

Mean= 1588

Standard deviation sample formula is :

S.D=sqrt((|x-m|^2)/ n-1)

So let start find |x-m|^2

For 1st: |1730-1588|^2=20164

For 2nd: |1689-1588|^2=10201

For 3rd: |1326-1588|^2=68644

For 4th: |1614-1588|^2=676

For 5th: |1460-1588|^2=16384

For 6th: |1867-1588|^2=77841

For 7th: |1430-1588|^2=24964

Summation of |x-m|^2 = 218874

Standard deviation formula is:

S.D = sqrt((summation of |x-m|^2) / n-1)

S.D=sqrt(218874/6)

S.D=sqrt(36479)

S.D=190.99