Statistics Examples

12

$12$ ,

14

$14$

Step 1

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}}

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

Step 2

Simplify the result.

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Step 2.1

Raise

12

$12$ to the power of

2

$2$ .

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

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

Step 2.2

Raise

14

$14$ to the power of

2

$2$ .

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

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

Step 2.3

Add

144

$144$ and

196

$196$ .

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

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

Step 2.4

Divide

340

$340$ by

2

$2$ .

\sqrt{170}

$\sqrt{170}$

\sqrt{170}

$\sqrt{170}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\sqrt{170}

$\sqrt{170}$

Decimal Form:

13.03840481 \dots

$13.03840481 \dots$

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