Question

Calculate Varience and Standard Deviation for the following data

X	4	6	8	10	12
y	5	7	9	13	14

Answer 1

from the given data we can see N=5

here mean =

i.e., mean=432/48

therefore mean= 9

Hence

Variance  =∑y(D*D)/N

Variance =336/5

Variance = 67.2

Standard deviation=sqrt(variance)

Therefore Standard deviation = sqrt(67.2)

Standard deviation =8.1976

Therefore for the given data

Variance = 67.2 and Standard deviation = 8.1976