SOLUTION: A hen lays eight eggs. Each egg was weighed and recorded as follows: 60 g, 56 g, 61 g, 68 g, 51 g, 53 g, 69 g, 54 g. Find the Variance? Im a little lost please help

Algebra ->  Subset -> SOLUTION: A hen lays eight eggs. Each egg was weighed and recorded as follows: 60 g, 56 g, 61 g, 68 g, 51 g, 53 g, 69 g, 54 g. Find the Variance? Im a little lost please help       Log On


   

Question 1187619: A hen lays eight eggs. Each egg was weighed and recorded as follows:
60 g, 56 g, 61 g, 68 g, 51 g, 53 g, 69 g, 54 g. Find the Variance?

Im a little lost please help

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!


calculate the variance of the follow data set: 60g, 56g%2C+%7B%7B%7B61g, 68g, 51g, 53g, 69g,+54g
variance=sqrt%28%28x%5Bi%5D-mu%29%5E2%2F%28n-1%29%29
The first step is to calculate the mean.
mean mu=+%2860%2B56%2B61%2B68+%2B51%2B53+%2B69+%2B54%29%2F8=472%2F8=59
Then you take each value in data set, subtract the mean and square the difference. For instance, for the first value:
%2860+-+59%29%5E2++=+1
%2856+-+59%29%5E2++=+9
%2861+-+59%29%5E2++=4
%2868+-+59%29%5E2++=81
%2851+-+59%29%5E2=64
%2853+-+59%29%5E2=36
%2869+-+59%29%5E2=100
%2854+-+59%29%5E2=25
The squared differences for all values are added:
1%2B+9%2B+4+%2B+81+%2B+64%2B36%2B100%2B25+=+320
plug it in formula
variance=320%2F%288-1%29+=+320%2F7=45.71