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What is the variance of {-4, 19, -3, 8, -10}?

1 Answer

Mar 1, 2016

$106$ $106$

Explanation:

The variance of a data set is given by average of the squared distances of each data point from the mean.

The mean is $\frac{- 4 + 19 - 3 + 8 - 10}{5} = 2$ $(-4+19-3+8-10)/5=2$ .

Thus the variance is

$\frac{{(- 4 - 2)}^{2} + {(19 - 2)}^{2} + {(- 3 - 2)}^{2} + {(8 - 2)}^{2} + {(- 10 - 2)}^{2}}{5}$ $((-4-2)^2+(19-2)^2+(-3-2)^2+(8-2)^2+(-10-2)^2)/5$

$= \frac{36 + 289 + 25 + 36 + 144}{5} = 106$ $=(36+289+25+36+144)/5=106$

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