Basic Math Examples

$10$ ,

$11$ ,

$12$ ,

$13$ ,

$14$ ,

$15$ ,

$16$ ,

$17$ ,

$18$ ,

$25$

Step 1

The mean of a set of numbers is the sum divided by the number of terms.

$\overline{x} = \frac{10 + 11 + 12 + 12 + 13 + 13 + 13 + 14 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2

Simplify the numerator.

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Step 2.1

Add

$10$ and

$11$ .

$\overline{x} = \frac{21 + 12 + 12 + 13 + 13 + 13 + 14 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.2

Add

$21$ and

$12$ .

$\overline{x} = \frac{33 + 12 + 13 + 13 + 13 + 14 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.3

Add

$33$ and

$12$ .

$\overline{x} = \frac{45 + 13 + 13 + 13 + 14 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.4

Add

$45$ and

$13$ .

$\overline{x} = \frac{58 + 13 + 13 + 14 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.5

Add

$58$ and

$13$ .

$\overline{x} = \frac{71 + 13 + 14 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.6

Add

$71$ and

$13$ .

$\overline{x} = \frac{84 + 14 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.7

Add

$84$ and

$14$ .

$\overline{x} = \frac{98 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.8

Add

$98$ and

$14$ .

$\overline{x} = \frac{112 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.9

Add

$112$ and

$14$ .

$\overline{x} = \frac{126 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.10

Add

$126$ and

$15$ .

$\overline{x} = \frac{141 + 15 + 15 + 15 + 15 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.11

Add

$141$ and

$15$ .

$\overline{x} = \frac{156 + 15 + 15 + 15 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.12

Add

$156$ and

$15$ .

$\overline{x} = \frac{171 + 15 + 15 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.13

Add

$171$ and

$15$ .

$\overline{x} = \frac{186 + 15 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.14

Add

$186$ and

$15$ .

$\overline{x} = \frac{201 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.15

Add

$201$ and

$16$ .

$\overline{x} = \frac{217 + 16 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.16

Add

$217$ and

$16$ .

$\overline{x} = \frac{233 + 16 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.17

Add

$233$ and

$16$ .

$\overline{x} = \frac{249 + 17 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.18

Add

$249$ and

$17$ .

$\overline{x} = \frac{266 + 17 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.19

Add

$266$ and

$17$ .

$\overline{x} = \frac{283 + 17 + 17 + 18 + 18 + 25}{25}$

Step 2.20

Add

$283$ and

$17$ .

$\overline{x} = \frac{300 + 17 + 18 + 18 + 25}{25}$

Step 2.21

Add

$300$ and

$17$ .

$\overline{x} = \frac{317 + 18 + 18 + 25}{25}$

Step 2.22

Add

$317$ and

$18$ .

$\overline{x} = \frac{335 + 18 + 25}{25}$

Step 2.23

Add

$335$ and

$18$ .

$\overline{x} = \frac{353 + 25}{25}$

Step 2.24

Add

$353$ and

$25$ .

$\overline{x} = \frac{378}{25}$

Step 3

Divide.

$\overline{x} = 15.12$

Step 4

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

$\overline{x} = 15.1$

Step 5

Set up the formula for variance. The variance of a set of values is a measure of the spread of its values.

$s^{2} = \sum_{i = 1}^{n} \frac{{(x_{i} - x_{a v g})}^{2}}{n - 1}$

Step 6

Set up the formula for variance for this set of numbers.

$s = \frac{{(10 - 15.1)}^{2} + {(11 - 15.1)}^{2} + {(12 - 15.1)}^{2} + {(12 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7

Simplify the result.

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Step 7.1

Simplify the numerator.

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Step 7.1.1

Subtract

$15.1$ from

$10$ .

$s = \frac{{(- 5.1)}^{2} + {(11 - 15.1)}^{2} + {(12 - 15.1)}^{2} + {(12 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.2

Raise

$- 5.1$ to the power of

$2$ .

$s = \frac{26.01 + {(11 - 15.1)}^{2} + {(12 - 15.1)}^{2} + {(12 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.3

Subtract

$15.1$ from

$11$ .

$s = \frac{26.01 + {(- 4.1)}^{2} + {(12 - 15.1)}^{2} + {(12 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.4

Raise

$- 4.1$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + {(12 - 15.1)}^{2} + {(12 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.5

Subtract

$15.1$ from

$12$ .

$s = \frac{26.01 + 16.81 + {(- 3.1)}^{2} + {(12 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.6

Raise

$- 3.1$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + {(12 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.7

Subtract

$15.1$ from

$12$ .

$s = \frac{26.01 + 16.81 + 9.61 + {(- 3.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.8

Raise

$- 3.1$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.9

Subtract

$15.1$ from

$13$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + {(- 2.1)}^{2} + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.10

Raise

$- 2.1$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + {(13 - 15.1)}^{2} + {(13 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.11

Subtract

$15.1$ from

$13$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + {(- 2.1)}^{2} + {(13 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.12

Raise

$- 2.1$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + {(13 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.13

Subtract

$15.1$ from

$13$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + {(- 2.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.14

Raise

$- 2.1$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.15

Subtract

$15.1$ from

$14$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + {(- 1.1)}^{2} + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.16

Raise

$- 1.1$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + {(14 - 15.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.17

Subtract

$15.1$ from

$14$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + {(- 1.1)}^{2} + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.18

Raise

$- 1.1$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + {(14 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.19

Subtract

$15.1$ from

$14$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + {(- 1.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.20

Raise

$- 1.1$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.21

Subtract

$15.1$ from

$15$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + {(- 0.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.22

Raise

$- 0.1$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.23

Subtract

$15.1$ from

$15$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + {(- 0.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.24

Raise

$- 0.1$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.25

Subtract

$15.1$ from

$15$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + {(- 0.1)}^{2} + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.26

Raise

$- 0.1$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + {(15 - 15.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.27

Subtract

$15.1$ from

$15$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + {(- 0.1)}^{2} + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.28

Raise

$- 0.1$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + {(15 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.29

Subtract

$15.1$ from

$15$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + {(- 0.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.30

Raise

$- 0.1$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.31

Subtract

$15.1$ from

$16$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + {0.9}^{2} + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.32

Raise

$0.9$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + {(16 - 15.1)}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.33

Subtract

$15.1$ from

$16$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + {0.9}^{2} + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.34

Raise

$0.9$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + {(16 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.35

Subtract

$15.1$ from

$16$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + {0.9}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.36

Raise

$0.9$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.37

Subtract

$15.1$ from

$17$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + {1.9}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.38

Raise

$1.9$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.39

Subtract

$15.1$ from

$17$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + {1.9}^{2} + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.40

Raise

$1.9$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + {(17 - 15.1)}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.41

Subtract

$15.1$ from

$17$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + {1.9}^{2} + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.42

Raise

$1.9$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + {(17 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.43

Subtract

$15.1$ from

$17$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + {1.9}^{2} + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.44

Raise

$1.9$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + {(18 - 15.1)}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.45

Subtract

$15.1$ from

$18$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + {2.9}^{2} + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.46

Raise

$2.9$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + {(18 - 15.1)}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.47

Subtract

$15.1$ from

$18$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + {2.9}^{2} + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.48

Raise

$2.9$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + {(25 - 15.1)}^{2}}{25 - 1}$

Step 7.1.49

Subtract

$15.1$ from

$25$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + {9.9}^{2}}{25 - 1}$

Step 7.1.50

Raise

$9.9$ to the power of

$2$ .

$s = \frac{26.01 + 16.81 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.51

Add

$26.01$ and

$16.81$ .

$s = \frac{42.82 + 9.61 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.52

Add

$42.82$ and

$9.61$ .

$s = \frac{52.43 + 9.61 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.53

Add

$52.43$ and

$9.61$ .

$s = \frac{62.04 + 4.41 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.54

Add

$62.04$ and

$4.41$ .

$s = \frac{66.45 + 4.41 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.55

Add

$66.45$ and

$4.41$ .

$s = \frac{70.86 + 4.41 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.56

Add

$70.86$ and

$4.41$ .

$s = \frac{75.27 + 1.21 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.57

Add

$75.27$ and

$1.21$ .

$s = \frac{76.48 + 1.21 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.58

Add

$76.48$ and

$1.21$ .

$s = \frac{77.69 + 1.21 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.59

Add

$77.69$ and

$1.21$ .

$s = \frac{78.9 + 0.01 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.60

Add

$78.9$ and

$0.01$ .

$s = \frac{78.91 + 0.01 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.61

Add

$78.91$ and

$0.01$ .

$s = \frac{78.92 + 0.01 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.62

Add

$78.92$ and

$0.01$ .

$s = \frac{78.93 + 0.01 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.63

Add

$78.93$ and

$0.01$ .

$s = \frac{78.94 + 0.01 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.64

Add

$78.94$ and

$0.01$ .

$s = \frac{78.95 + 0.81 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.65

Add

$78.95$ and

$0.81$ .

$s = \frac{79.76 + 0.81 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.66

Add

$79.76$ and

$0.81$ .

$s = \frac{80.57 + 0.81 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.67

Add

$80.57$ and

$0.81$ .

$s = \frac{81.38 + 3.61 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.68

Add

$81.38$ and

$3.61$ .

$s = \frac{84.99 + 3.61 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.69

Add

$84.99$ and

$3.61$ .

$s = \frac{88.6 + 3.61 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.70

Add

$88.6$ and

$3.61$ .

$s = \frac{92.21 + 3.61 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.71

Add

$92.21$ and

$3.61$ .

$s = \frac{95.82 + 8.41 + 8.41 + 98.01}{25 - 1}$

Step 7.1.72

Add

$95.82$ and

$8.41$ .

$s = \frac{104.23 + 8.41 + 98.01}{25 - 1}$

Step 7.1.73

Add

$104.23$ and

$8.41$ .

$s = \frac{112.64 + 98.01}{25 - 1}$

Step 7.1.74

Add

$112.64$ and

$98.01$ .

$s = \frac{210.65}{25 - 1}$

Step 7.2

Simplify the expression.

Tap for more steps...

Step 7.2.1

Subtract

$1$ from

$25$ .

$s = \frac{210.65}{24}$

Step 7.2.2

Divide

$210.65$ by

$24$ .

$s = 8.77708\overline{3}$

Step 8

Approximate the result.

$s^{2} \approx 8.7771$