Question

You have a series of X consisting of the following values (3,6,7,10,15,25) and a series Y consisting of the following values (4,4,6,10,10,14) What is the range of X and Y? What is the variance of X and Y? What is the standard deviation of X and Y?

Answer 1

Range = Highest observation -Lowest observation

Range of X = 25-3 =22

Range of Y = 14--4 =10

	X	X^2		Y	Y^2
	3	9		4	8
	6	36		4	8
	7	49		6	12
	10	100		10	20
	15	225		10	20
	25	625		14	28
total	66	1044		48	96

Variance of X is

Therefore

Similarly

Standard deviation of X =

Standard deviation of Y =