Table below shows the frequency `f` with which `x` alpha particles were radiated from a diskette `x :` 0 1 2 3 4 5 6 7 8 9 10 11 12 `f:` 51 203 383 25 532 408 273 139 43 27 10 4 2 Calculate the mean and variance

Answer

The mean is `3.88` and variance is `3.63`

Explanation

By using the formula to find mean,
$$ \begin{aligned} \text { Mean } &=\sum \frac{\mathrm{f}_{1} \mathrm{x}_{\mathrm{i}}}{\mathrm{x}_{\mathrm{i}}} \\ &=\frac{10078}{2600}=3.88 \end{aligned} $$

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