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

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(B) To determine stability,we calculate the Coefficient of Variation $(C.V.)$. The share with the lower $C.V.$ is more stable.
For share $X$: Data = $35, 54, 52, 53, 56, 58, 52, 50, 51, 49$. Mean $\bar{x} = 51$. Variance $\sigma_1^2 = 35$. Standard deviation $\sigma_1 = \sqrt{35} \approx 5.916$.
$C.V._X = (\sigma_1 / \bar{x}) \times 100 = (5.916 / 51) \times 100 \approx 11.60$.
For share $Y$: Data = $108, 107, 105, 105, 106, 107, 104, 103, 104, 101$. Mean $\bar{y} = 105$. Variance $\sigma_2^2 = 4$. Standard deviation $\sigma_2 = \sqrt{4} = 2$.
$C.V._Y = (\sigma_2 / \bar{y}) \times 100 = (2 / 105) \times 100 \approx 1.90$.
Since $C.V._Y < C.V._X$,share $Y$ is more stable.

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