Statistics Examples

$12$ , $14$

The quadratic mean (rms) of a set of numbers is the square root of the sum of the squares of the numbers divided by the number of terms.

$\sqrt{\frac{{(12)}^{2} + {(14)}^{2}}{2}}$

Simplify the result.

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Remove parentheses around $12$ .

$\sqrt{\frac{12^{2} + {(14)}^{2}}{2}}$

Raise $12$ to the power of $2$ .

$\sqrt{\frac{144 + {(14)}^{2}}{2}}$

Remove parentheses around $14$ .

$\sqrt{\frac{144 + 14^{2}}{2}}$

Raise $14$ to the power of $2$ .

$\sqrt{\frac{144 + 196}{2}}$

Add $144$ and $196$ .

$\sqrt{\frac{340}{2}}$

Divide $340$ by $2$ .

$\sqrt{170}$

The result can be shown in both exact and decimal forms.

Exact Form:

$\sqrt{170}$

Decimal Form:

$13.03840481 \dots$

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