Question

Question 5 In a particular hospital, 6 newborn babies were delivered yesterday. Here are their weights (in ounces): 107, 104, 126, 127, 130, 102 Assuming that these weights constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.

Answer 1

Solution:

Given that,

107, 104, 126, 127, 130, 102

The mean of sample is   

x/n =  (107+ 104+126+ 127+ 130+ 102)/n

   = 696/ 6

= 116

The sample mean is 116

Sample standard deviation is s

s = 1/(n-1)(x - )²

⁼  1/6-1( 107 - 116 )²+(104- 116 )²+ (126-116 )²+ (127- 116 )²+ (130- 116 )² +( 102 - 116 )²

= 1/5 (10.24+1.44+0.04+0.64+14.44)

= 167.6

=12.96

= 2.58

The sample standard deviation is 3.7