From the prices of shares X and Y below, find out which is more stable in value X 35 54 52 53 56 58 52 50 51 49 . Y 108 107 105 105 106 107 104 103 104 101

Explanation

For share `X`
Mean `barx=(sumx_(i))/n=510/10=51`
and variance `=(sum(x_(i)-barx)^(2))/n=350/10=35`
For share `Y`
Mean `bary=(sumy_(i))/n=1050/10=105`
and variance `=(sum(y_(i)-bary)^(2))/n=40/10=4`
`:'` The variacne of the price of share `Y` is less.
`:.` The price of share `Y` is more stable.