A set of 100 coins from an ongoing production process had been sampled and their diameters measured.

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A set of 100 coins from an ongoing production process had been sampled and their diameters measured. The measurement procedure allows for a degree of accuracy of \(\pm 0.04 \mathrm{~mm}\). The table shows the measured values \(x_{i}\) and their numbers:

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Let \(X\) be the diameter of a randomly from this set picked coin.
(1) Draw the distribution function of \(X\).
(2) Determine \(E(X), E(|X-E(X)|)\), \(\operatorname{Var}(X)\), and \(V(X)\).

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