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Question

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 49Y108107105105106107104103104101


Solution

XY(X¯X)(Y¯Y)(X¯X)2(Y¯Y)23510816  3256 954107   3  2   9 452105   1  0   1 053105   2  0   4 056106   5  1  25 158107   7  2  49 452104   11   1 15010312   1 451104  01   0 14910124   416510105035040

(¯¯¯x) = 51010=51,(¯¯¯y)=105010=105

σx=(x¯¯¯x)2n=35010=5.92

σy=(x¯y)2n=4010=2

C.V. of x=5.9251×100=11.61

C.V. of y=2105×100=1.9

C.V. or Y   <   C.V. ofX

Thus prices of share Y are more stable.

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