Question

In a particular hospital, 5 newborn babies were delivered. here are their weights (in ounces): 119, 104, 92, 97, 103 Assuming these weights constitute an entire population find the standard deviation of the population, round answers to at least two decimal places.

Answer 1

Answer: standard deviation is 6.96

Explanation:

Let m be mean

M=mean=sum/n

M=525/5

M=103

The standard deviation formula is :

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

Let start finding:

|x-m|^2

For 1st: |119-103|^2=36

For 2nd: |104-103|^2=1

For 3rd: |92-103|^2=121

For 4th: |97-103|^2=36

For 5th: |103-103|^2=0

Summation of |x-m|^2 = 194

The standard deviation formula is :

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

S.D= sqrt(194 / 4)

S.D=sqrt(48.5)

S.D= 6.96