Matemática básica Exemplos

$13$ , $18$ , $27$ , $19$ , $14$ , $31$ , $8$ , $17$ , $23$ , $8$ , $17$ , $23$ , $20$ , $24$ , $23$ , $19$ , $27$ , $40$ , $13$ , $23$

Etapa 1

A média de um conjunto de números é a soma dividida pelo número de termos.

$\overline{x} = \frac{13 + 18 + 27 + 19 + 14 + 31 + 8 + 17 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Etapa 2

Simplifique o numerador.

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Etapa 2.1

Some $13$ e $18$ .

$\overline{x} = \frac{31 + 27 + 19 + 14 + 31 + 8 + 17 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Etapa 2.2

Some $31$ e $27$ .

$\overline{x} = \frac{58 + 19 + 14 + 31 + 8 + 17 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Etapa 2.3

Some $58$ e $19$ .

$\overline{x} = \frac{77 + 14 + 31 + 8 + 17 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Etapa 2.4

Some $77$ e $14$ .

$\overline{x} = \frac{91 + 31 + 8 + 17 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Etapa 2.5

Some $91$ e $31$ .

$\overline{x} = \frac{122 + 8 + 17 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Etapa 2.6

Some $122$ e $8$ .

$\overline{x} = \frac{130 + 17 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Etapa 2.7

Some $130$ e $17$ .

$\overline{x} = \frac{147 + 23 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Etapa 2.8

Some $147$ e $23$ .

$\overline{x} = \frac{170 + 8 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Etapa 2.9

Some $170$ e $8$ .

$\overline{x} = \frac{178 + 17 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Etapa 2.10

Some $178$ e $17$ .

$\overline{x} = \frac{195 + 23 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Etapa 2.11

Some $195$ e $23$ .

$\overline{x} = \frac{218 + 20 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Etapa 2.12

Some $218$ e $20$ .

$\overline{x} = \frac{238 + 24 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Etapa 2.13

Some $238$ e $24$ .

$\overline{x} = \frac{262 + 23 + 19 + 27 + 40 + 13 + 23}{20}$

Etapa 2.14

Some $262$ e $23$ .

$\overline{x} = \frac{285 + 19 + 27 + 40 + 13 + 23}{20}$

Etapa 2.15

Some $285$ e $19$ .

$\overline{x} = \frac{304 + 27 + 40 + 13 + 23}{20}$

Etapa 2.16

Some $304$ e $27$ .

$\overline{x} = \frac{331 + 40 + 13 + 23}{20}$

Etapa 2.17

Some $331$ e $40$ .

$\overline{x} = \frac{371 + 13 + 23}{20}$

Etapa 2.18

Some $371$ e $13$ .

$\overline{x} = \frac{384 + 23}{20}$

Etapa 2.19

Some $384$ e $23$ .

$\overline{x} = \frac{407}{20}$

Etapa 3

Divida.

$\overline{x} = 20.35$

Etapa 4

A média deve ser arredondada para uma casa decimal a mais do que os dados originais. Se os dados originais forem misturados, arredonde para uma casa decimal a mais do que a menos precisa.

$\overline{x} = 20.4$

Etapa 5

Estabeleça a fórmula da variância. A variância de um conjunto de valores é uma medida da propagação de seus valores.

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

Etapa 6

Estabeleça a fórmula da variância para este conjunto de números.

$s = \frac{{(13 - 20.4)}^{2} + {(18 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7

Simplifique o resultado.

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Etapa 7.1

Simplifique o numerador.

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Etapa 7.1.1

Subtraia $20.4$ de $13$ .

$s = \frac{{(- 7.4)}^{2} + {(18 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.2

Eleve $- 7.4$ à potência de $2$ .

$s = \frac{54.76 + {(18 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.3

Subtraia $20.4$ de $18$ .

$s = \frac{54.76 + {(- 2.4)}^{2} + {(27 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.4

Eleve $- 2.4$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + {(27 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.5

Subtraia $20.4$ de $27$ .

$s = \frac{54.76 + 5.76 + {6.6}^{2} + {(19 - 20.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.6

Eleve $6.6$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + {(19 - 20.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.7

Subtraia $20.4$ de $19$ .

$s = \frac{54.76 + 5.76 + 43.56 + {(- 1.4)}^{2} + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.8

Eleve $- 1.4$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + {(14 - 20.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.9

Subtraia $20.4$ de $14$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + {(- 6.4)}^{2} + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.10

Eleve $- 6.4$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + {(31 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.11

Subtraia $20.4$ de $31$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + {10.6}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.12

Eleve $10.6$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.13

Subtraia $20.4$ de $8$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + {(- 12.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.14

Eleve $- 12.4$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.15

Subtraia $20.4$ de $17$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + {(- 3.4)}^{2} + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.16

Eleve $- 3.4$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + {(23 - 20.4)}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.17

Subtraia $20.4$ de $23$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + {2.6}^{2} + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.18

Eleve $2.6$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + {(8 - 20.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.19

Subtraia $20.4$ de $8$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + {(- 12.4)}^{2} + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.20

Eleve $- 12.4$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + {(17 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.21

Subtraia $20.4$ de $17$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + {(- 3.4)}^{2} + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.22

Eleve $- 3.4$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + {(23 - 20.4)}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.23

Subtraia $20.4$ de $23$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + {2.6}^{2} + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.24

Eleve $2.6$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + {(20 - 20.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.25

Subtraia $20.4$ de $20$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + {(- 0.4)}^{2} + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.26

Eleve $- 0.4$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + {(24 - 20.4)}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.27

Subtraia $20.4$ de $24$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + {3.6}^{2} + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.28

Eleve $3.6$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + {(23 - 20.4)}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.29

Subtraia $20.4$ de $23$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + {2.6}^{2} + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.30

Eleve $2.6$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + {(19 - 20.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.31

Subtraia $20.4$ de $19$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + {(- 1.4)}^{2} + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.32

Eleve $- 1.4$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + {(27 - 20.4)}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.33

Subtraia $20.4$ de $27$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + {6.6}^{2} + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.34

Eleve $6.6$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + {(40 - 20.4)}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.35

Subtraia $20.4$ de $40$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + {19.6}^{2} + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.36

Eleve $19.6$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + {(13 - 20.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.37

Subtraia $20.4$ de $13$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + {(- 7.4)}^{2} + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.38

Eleve $- 7.4$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + {(23 - 20.4)}^{2}}{20 - 1}$

Etapa 7.1.39

Subtraia $20.4$ de $23$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + {2.6}^{2}}{20 - 1}$

Etapa 7.1.40

Eleve $2.6$ à potência de $2$ .

$s = \frac{54.76 + 5.76 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.41

Some $54.76$ e $5.76$ .

$s = \frac{60.52 + 43.56 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.42

Some $60.52$ e $43.56$ .

$s = \frac{104.08 + 1.96 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.43

Some $104.08$ e $1.96$ .

$s = \frac{106.04 + 40.96 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.44

Some $106.04$ e $40.96$ .

$s = \frac{147 + 112.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.45

Some $147$ e $112.36$ .

$s = \frac{259.36 + 153.76 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.46

Some $259.36$ e $153.76$ .

$s = \frac{413.12 + 11.56 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.47

Some $413.12$ e $11.56$ .

$s = \frac{424.68 + 6.76 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.48

Some $424.68$ e $6.76$ .

$s = \frac{431.44 + 153.76 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.49

Some $431.44$ e $153.76$ .

$s = \frac{585.2 + 11.56 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.50

Some $585.2$ e $11.56$ .

$s = \frac{596.76 + 6.76 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.51

Some $596.76$ e $6.76$ .

$s = \frac{603.52 + 0.16 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.52

Some $603.52$ e $0.16$ .

$s = \frac{603.68 + 12.96 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.53

Some $603.68$ e $12.96$ .

$s = \frac{616.64 + 6.76 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.54

Some $616.64$ e $6.76$ .

$s = \frac{623.4 + 1.96 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.55

Some $623.4$ e $1.96$ .

$s = \frac{625.36 + 43.56 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.56

Some $625.36$ e $43.56$ .

$s = \frac{668.92 + 384.16 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.57

Some $668.92$ e $384.16$ .

$s = \frac{1053.08 + 54.76 + 6.76}{20 - 1}$

Etapa 7.1.58

Some $1053.08$ e $54.76$ .

$s = \frac{1107.84 + 6.76}{20 - 1}$

Etapa 7.1.59

Some $1107.84$ e $6.76$ .

$s = \frac{1114.6}{20 - 1}$

Etapa 7.2

Simplifique a expressão.

Toque para ver mais passagens...

Etapa 7.2.1

Subtraia $1$ de $20$ .

$s = \frac{1114.6}{19}$

Etapa 7.2.2

Divida $1114.6$ por $19$ .

$s = 58.66315789$

Etapa 8

Aproxime o resultado.

$s^{2} \approx 58.6632$