Matemática básica Ejemplos

$26$ , $17$ , $33$ , $26$ , $44$ , $12$ , $24$ , $26$ , $22$ , $27$ , $21$ , $20$ , $3$ , $3$ , $10$ , $4$ , $4$ , $0$

Paso 1

La media de un conjunto de números es la suma dividida por la cantidad de términos.

$\overline{x} = \frac{26 + 17 + 33 + 26 + 44 + 12 + 24 + 26 + 22 + 27 + 21 + 20 + 3 + 3 + 10 + 4 + 4 + 0}{18}$

Paso 2

Simplifica el numerador.

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Paso 2.1

Suma $26 + 17 + 33 + 26 + 44 + 12 + 24 + 26 + 22 + 27 + 21 + 20 + 3 + 3 + 10 + 4 + 4$ y $0$ .

$\overline{x} = \frac{26 + 17 + 33 + 26 + 44 + 12 + 24 + 26 + 22 + 27 + 21 + 20 + 3 + 3 + 10 + 4 + 4}{18}$

Paso 2.2

Suma $26$ y $17$ .

$\overline{x} = \frac{43 + 33 + 26 + 44 + 12 + 24 + 26 + 22 + 27 + 21 + 20 + 3 + 3 + 10 + 4 + 4}{18}$

Paso 2.3

Suma $43$ y $33$ .

$\overline{x} = \frac{76 + 26 + 44 + 12 + 24 + 26 + 22 + 27 + 21 + 20 + 3 + 3 + 10 + 4 + 4}{18}$

Paso 2.4

Suma $76$ y $26$ .

$\overline{x} = \frac{102 + 44 + 12 + 24 + 26 + 22 + 27 + 21 + 20 + 3 + 3 + 10 + 4 + 4}{18}$

Paso 2.5

Suma $102$ y $44$ .

$\overline{x} = \frac{146 + 12 + 24 + 26 + 22 + 27 + 21 + 20 + 3 + 3 + 10 + 4 + 4}{18}$

Paso 2.6

Suma $146$ y $12$ .

$\overline{x} = \frac{158 + 24 + 26 + 22 + 27 + 21 + 20 + 3 + 3 + 10 + 4 + 4}{18}$

Paso 2.7

Suma $158$ y $24$ .

$\overline{x} = \frac{182 + 26 + 22 + 27 + 21 + 20 + 3 + 3 + 10 + 4 + 4}{18}$

Paso 2.8

Suma $182$ y $26$ .

$\overline{x} = \frac{208 + 22 + 27 + 21 + 20 + 3 + 3 + 10 + 4 + 4}{18}$

Paso 2.9

Suma $208$ y $22$ .

$\overline{x} = \frac{230 + 27 + 21 + 20 + 3 + 3 + 10 + 4 + 4}{18}$

Paso 2.10

Suma $230$ y $27$ .

$\overline{x} = \frac{257 + 21 + 20 + 3 + 3 + 10 + 4 + 4}{18}$

Paso 2.11

Suma $257$ y $21$ .

$\overline{x} = \frac{278 + 20 + 3 + 3 + 10 + 4 + 4}{18}$

Paso 2.12

Suma $278$ y $20$ .

$\overline{x} = \frac{298 + 3 + 3 + 10 + 4 + 4}{18}$

Paso 2.13

Suma $298$ y $3$ .

$\overline{x} = \frac{301 + 3 + 10 + 4 + 4}{18}$

Paso 2.14

Suma $301$ y $3$ .

$\overline{x} = \frac{304 + 10 + 4 + 4}{18}$

Paso 2.15

Suma $304$ y $10$ .

$\overline{x} = \frac{314 + 4 + 4}{18}$

Paso 2.16

Suma $314$ y $4$ .

$\overline{x} = \frac{318 + 4}{18}$

Paso 2.17

Suma $318$ y $4$ .

$\overline{x} = \frac{322}{18}$

Paso 3

Cancela el factor común de $322$ y $18$ .

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Paso 3.1

Factoriza $2$ de $322$ .

$\overline{x} = \frac{2 (161)}{18}$

Paso 3.2

Cancela los factores comunes.

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Paso 3.2.1

Factoriza $2$ de $18$ .

$\overline{x} = \frac{2 \cdot 161}{2 \cdot 9}$

Paso 3.2.2

Cancela el factor común.

$\overline{x} = \frac{2 \cdot 161}{2 \cdot 9}$

Paso 3.2.3

Reescribe la expresión.

$\overline{x} = \frac{161}{9}$

Paso 4

Divide.

$\overline{x} = 17.\overline{8}$

Paso 5

La media debería redondearse a una cifra decimal más que los datos originales. Si los datos originales fueran mixtos, redondea a una cifra decimal más que el dato menos preciso.

$\overline{x} = 17.9$

Paso 6

Establece la fórmula para la varianza. La varianza de un conjunto de valores es una medida de la propagación de sus valores.

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

Paso 7

Establece la fórmula para la varianza de este conjunto de números.

$s = \frac{{(26 - 17.9)}^{2} + {(17 - 17.9)}^{2} + {(33 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(44 - 17.9)}^{2} + {(12 - 17.9)}^{2} + {(24 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8

Simplifica el resultado.

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Paso 8.1

Simplifica el numerador.

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Paso 8.1.1

Resta $17.9$ de $26$ .

$s = \frac{{8.1}^{2} + {(17 - 17.9)}^{2} + {(33 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(44 - 17.9)}^{2} + {(12 - 17.9)}^{2} + {(24 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.2

Eleva $8.1$ a la potencia de $2$ .

$s = \frac{65.61 + {(17 - 17.9)}^{2} + {(33 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(44 - 17.9)}^{2} + {(12 - 17.9)}^{2} + {(24 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.3

Resta $17.9$ de $17$ .

$s = \frac{65.61 + {(- 0.9)}^{2} + {(33 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(44 - 17.9)}^{2} + {(12 - 17.9)}^{2} + {(24 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.4

Eleva $- 0.9$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + {(33 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(44 - 17.9)}^{2} + {(12 - 17.9)}^{2} + {(24 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.5

Resta $17.9$ de $33$ .

$s = \frac{65.61 + 0.81 + {15.1}^{2} + {(26 - 17.9)}^{2} + {(44 - 17.9)}^{2} + {(12 - 17.9)}^{2} + {(24 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.6

Eleva $15.1$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + {(26 - 17.9)}^{2} + {(44 - 17.9)}^{2} + {(12 - 17.9)}^{2} + {(24 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.7

Resta $17.9$ de $26$ .

$s = \frac{65.61 + 0.81 + 228.01 + {8.1}^{2} + {(44 - 17.9)}^{2} + {(12 - 17.9)}^{2} + {(24 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.8

Eleva $8.1$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + {(44 - 17.9)}^{2} + {(12 - 17.9)}^{2} + {(24 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.9

Resta $17.9$ de $44$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + {26.1}^{2} + {(12 - 17.9)}^{2} + {(24 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.10

Eleva $26.1$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + {(12 - 17.9)}^{2} + {(24 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.11

Resta $17.9$ de $12$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + {(- 5.9)}^{2} + {(24 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.12

Eleva $- 5.9$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + {(24 - 17.9)}^{2} + {(26 - 17.9)}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.13

Resta $17.9$ de $24$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + {6.1}^{2} + {(26 - 17.9)}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.14

Eleva $6.1$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + {(26 - 17.9)}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.15

Resta $17.9$ de $26$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + {8.1}^{2} + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.16

Eleva $8.1$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + {(22 - 17.9)}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.17

Resta $17.9$ de $22$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + {4.1}^{2} + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.18

Eleva $4.1$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + {(27 - 17.9)}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.19

Resta $17.9$ de $27$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + {9.1}^{2} + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.20

Eleva $9.1$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + {(21 - 17.9)}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.21

Resta $17.9$ de $21$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + {3.1}^{2} + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.22

Eleva $3.1$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + {(20 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.23

Resta $17.9$ de $20$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + {2.1}^{2} + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.24

Eleva $2.1$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + {(3 - 17.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.25

Resta $17.9$ de $3$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + {(- 14.9)}^{2} + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.26

Eleva $- 14.9$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + {(3 - 17.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.27

Resta $17.9$ de $3$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + {(- 14.9)}^{2} + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.28

Eleva $- 14.9$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + {(10 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.29

Resta $17.9$ de $10$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + {(- 7.9)}^{2} + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.30

Eleva $- 7.9$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + {(4 - 17.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.31

Resta $17.9$ de $4$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + {(- 13.9)}^{2} + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.32

Eleva $- 13.9$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + 193.21 + {(4 - 17.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.33

Resta $17.9$ de $4$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + 193.21 + {(- 13.9)}^{2} + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.34

Eleva $- 13.9$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + 193.21 + 193.21 + {(0 - 17.9)}^{2}}{18 - 1}$

Paso 8.1.35

Resta $17.9$ de $0$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + 193.21 + 193.21 + {(- 17.9)}^{2}}{18 - 1}$

Paso 8.1.36

Eleva $- 17.9$ a la potencia de $2$ .

$s = \frac{65.61 + 0.81 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + 193.21 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.37

Suma $65.61$ y $0.81$ .

$s = \frac{66.42 + 228.01 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + 193.21 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.38

Suma $66.42$ y $228.01$ .

$s = \frac{294.43 + 65.61 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + 193.21 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.39

Suma $294.43$ y $65.61$ .

$s = \frac{360.04 + 681.21 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + 193.21 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.40

Suma $360.04$ y $681.21$ .

$s = \frac{1041.25 + 34.81 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + 193.21 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.41

Suma $1041.25$ y $34.81$ .

$s = \frac{1076.06 + 37.21 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + 193.21 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.42

Suma $1076.06$ y $37.21$ .

$s = \frac{1113.27 + 65.61 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + 193.21 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.43

Suma $1113.27$ y $65.61$ .

$s = \frac{1178.88 + 16.81 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + 193.21 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.44

Suma $1178.88$ y $16.81$ .

$s = \frac{1195.69 + 82.81 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + 193.21 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.45

Suma $1195.69$ y $82.81$ .

$s = \frac{1278.5 + 9.61 + 4.41 + 222.01 + 222.01 + 62.41 + 193.21 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.46

Suma $1278.5$ y $9.61$ .

$s = \frac{1288.11 + 4.41 + 222.01 + 222.01 + 62.41 + 193.21 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.47

Suma $1288.11$ y $4.41$ .

$s = \frac{1292.52 + 222.01 + 222.01 + 62.41 + 193.21 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.48

Suma $1292.52$ y $222.01$ .

$s = \frac{1514.53 + 222.01 + 62.41 + 193.21 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.49

Suma $1514.53$ y $222.01$ .

$s = \frac{1736.54 + 62.41 + 193.21 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.50

Suma $1736.54$ y $62.41$ .

$s = \frac{1798.95 + 193.21 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.51

Suma $1798.95$ y $193.21$ .

$s = \frac{1992.16 + 193.21 + 320.41}{18 - 1}$

Paso 8.1.52

Suma $1992.16$ y $193.21$ .

$s = \frac{2185.37 + 320.41}{18 - 1}$

Paso 8.1.53

Suma $2185.37$ y $320.41$ .

$s = \frac{2505.78}{18 - 1}$

Paso 8.2

Simplifica la expresión.

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Paso 8.2.1

Resta $1$ de $18$ .

$s = \frac{2505.78}{17}$

Paso 8.2.2

Divide $2505.78$ por $17$ .

$s = 147.39882352$

Paso 9

Aproxima el resultado.

$s^{2} \approx 147.3988$