Question

# From the prices of shares X and Y given 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

Solution

## Let Ax = 51 ${x}_{i}$ ${d}_{i}={x}_{i}-51$ ${{d}_{i}}^{2}$ 35 $-$16 256 54 3 9 52 1 1 53 2 4 56 5 25 58 7 49 52 1 1 50 $-$1 1 51 0 0 49 $-$2 4   $\sum {d}_{i}=0$ $\sum {{d}_{i}}^{2}=350$ Here, we have $\sigma =\sqrt{35}=5.91$ Let Ay =105 ${x}_{i}$ ${d}_{i}={x}_{i}-105$ ${{d}_{i}}^{2}$ 108 3 9 107 2 4 105 0 0 105 0 0 106 1 1 107 2 4 104 $-$1 1 103 $-$2 4 104 $-$1 1 101 $-$4 16   $\sum {d}_{i}=0$ $\sum {{d}_{i}}^{2}=40$ $\sigma =\sqrt{4}=2$ Since CV of prices of share Y is lesser than that of X, prices of shares Y are more stable.MathematicsRD Sharma XI (2015)Standard XI

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