Matemática discreta Exemplos

$1.25$ , $1.29$ , $1.92$ , $1.43$ , $1.33$ , $1.48$ , $1.62$ , $1.84$ , $1.87$ , $1.99$ , $1.51$ , $1.271$ , $1.72$ , $1.28$ , $1.55$

Etapa 1

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

$\overline{x} = \frac{1.25 + 1.29 + 1.92 + 1.43 + 1.33 + 1.48 + 1.62 + 1.84 + 1.87 + 1.99 + 1.51 + 1.271 + 1.72 + 1.28 + 1.55}{15}$

Etapa 2

Simplifique o numerador.

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Etapa 2.1

Some $1.25$ e $1.29$ .

$\overline{x} = \frac{2.54 + 1.92 + 1.43 + 1.33 + 1.48 + 1.62 + 1.84 + 1.87 + 1.99 + 1.51 + 1.271 + 1.72 + 1.28 + 1.55}{15}$

Etapa 2.2

Some $2.54$ e $1.92$ .

$\overline{x} = \frac{4.46 + 1.43 + 1.33 + 1.48 + 1.62 + 1.84 + 1.87 + 1.99 + 1.51 + 1.271 + 1.72 + 1.28 + 1.55}{15}$

Etapa 2.3

Some $4.46$ e $1.43$ .

$\overline{x} = \frac{5.89 + 1.33 + 1.48 + 1.62 + 1.84 + 1.87 + 1.99 + 1.51 + 1.271 + 1.72 + 1.28 + 1.55}{15}$

Etapa 2.4

Some $5.89$ e $1.33$ .

$\overline{x} = \frac{7.22 + 1.48 + 1.62 + 1.84 + 1.87 + 1.99 + 1.51 + 1.271 + 1.72 + 1.28 + 1.55}{15}$

Etapa 2.5

Some $7.22$ e $1.48$ .

$\overline{x} = \frac{8.7 + 1.62 + 1.84 + 1.87 + 1.99 + 1.51 + 1.271 + 1.72 + 1.28 + 1.55}{15}$

Etapa 2.6

Some $8.7$ e $1.62$ .

$\overline{x} = \frac{10.32 + 1.84 + 1.87 + 1.99 + 1.51 + 1.271 + 1.72 + 1.28 + 1.55}{15}$

Etapa 2.7

Some $10.32$ e $1.84$ .

$\overline{x} = \frac{12.16 + 1.87 + 1.99 + 1.51 + 1.271 + 1.72 + 1.28 + 1.55}{15}$

Etapa 2.8

Some $12.16$ e $1.87$ .

$\overline{x} = \frac{14.03 + 1.99 + 1.51 + 1.271 + 1.72 + 1.28 + 1.55}{15}$

Etapa 2.9

Some $14.03$ e $1.99$ .

$\overline{x} = \frac{16.02 + 1.51 + 1.271 + 1.72 + 1.28 + 1.55}{15}$

Etapa 2.10

Some $16.02$ e $1.51$ .

$\overline{x} = \frac{17.53 + 1.271 + 1.72 + 1.28 + 1.55}{15}$

Etapa 2.11

Some $17.53$ e $1.271$ .

$\overline{x} = \frac{18.801 + 1.72 + 1.28 + 1.55}{15}$

Etapa 2.12

Some $18.801$ e $1.72$ .

$\overline{x} = \frac{20.521 + 1.28 + 1.55}{15}$

Etapa 2.13

Some $20.521$ e $1.28$ .

$\overline{x} = \frac{21.801 + 1.55}{15}$

Etapa 2.14

Some $21.801$ e $1.55$ .

$\overline{x} = \frac{23.351}{15}$

Etapa 3

Divida $23.351$ por $15$ .

$\overline{x} = 1.5567\overline{3}$

Etapa 4

Divida.

$\overline{x} = 1.5567\overline{3}$

Etapa 5

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.

$\overline{x} = 1.557$

Etapa 6

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 7

Estabeleça a fórmula da variância para este conjunto de números.

$s = \frac{{(1.25 - 1.557)}^{2} + {(1.29 - 1.557)}^{2} + {(1.92 - 1.557)}^{2} + {(1.43 - 1.557)}^{2} + {(1.33 - 1.557)}^{2} + {(1.48 - 1.557)}^{2} + {(1.62 - 1.557)}^{2} + {(1.84 - 1.557)}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8

Simplifique o resultado.

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Etapa 8.1

Simplifique o numerador.

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Etapa 8.1.1

Subtraia $1.557$ de $1.25$ .

$s = \frac{{(- 0.307)}^{2} + {(1.29 - 1.557)}^{2} + {(1.92 - 1.557)}^{2} + {(1.43 - 1.557)}^{2} + {(1.33 - 1.557)}^{2} + {(1.48 - 1.557)}^{2} + {(1.62 - 1.557)}^{2} + {(1.84 - 1.557)}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.2

Eleve $- 0.307$ à potência de $2$ .

$s = \frac{0.094249 + {(1.29 - 1.557)}^{2} + {(1.92 - 1.557)}^{2} + {(1.43 - 1.557)}^{2} + {(1.33 - 1.557)}^{2} + {(1.48 - 1.557)}^{2} + {(1.62 - 1.557)}^{2} + {(1.84 - 1.557)}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.3

Subtraia $1.557$ de $1.29$ .

$s = \frac{0.094249 + {(- 0.267)}^{2} + {(1.92 - 1.557)}^{2} + {(1.43 - 1.557)}^{2} + {(1.33 - 1.557)}^{2} + {(1.48 - 1.557)}^{2} + {(1.62 - 1.557)}^{2} + {(1.84 - 1.557)}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.4

Eleve $- 0.267$ à potência de $2$ .

$s = \frac{0.094249 + 0.071289 + {(1.92 - 1.557)}^{2} + {(1.43 - 1.557)}^{2} + {(1.33 - 1.557)}^{2} + {(1.48 - 1.557)}^{2} + {(1.62 - 1.557)}^{2} + {(1.84 - 1.557)}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.5

Subtraia $1.557$ de $1.92$ .

$s = \frac{0.094249 + 0.071289 + {0.363}^{2} + {(1.43 - 1.557)}^{2} + {(1.33 - 1.557)}^{2} + {(1.48 - 1.557)}^{2} + {(1.62 - 1.557)}^{2} + {(1.84 - 1.557)}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.6

Eleve $0.363$ à potência de $2$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + {(1.43 - 1.557)}^{2} + {(1.33 - 1.557)}^{2} + {(1.48 - 1.557)}^{2} + {(1.62 - 1.557)}^{2} + {(1.84 - 1.557)}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.7

Subtraia $1.557$ de $1.43$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + {(- 0.127)}^{2} + {(1.33 - 1.557)}^{2} + {(1.48 - 1.557)}^{2} + {(1.62 - 1.557)}^{2} + {(1.84 - 1.557)}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.8

Eleve $- 0.127$ à potência de $2$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + {(1.33 - 1.557)}^{2} + {(1.48 - 1.557)}^{2} + {(1.62 - 1.557)}^{2} + {(1.84 - 1.557)}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.9

Subtraia $1.557$ de $1.33$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + {(- 0.227)}^{2} + {(1.48 - 1.557)}^{2} + {(1.62 - 1.557)}^{2} + {(1.84 - 1.557)}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.10

Eleve $- 0.227$ à potência de $2$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + {(1.48 - 1.557)}^{2} + {(1.62 - 1.557)}^{2} + {(1.84 - 1.557)}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.11

Subtraia $1.557$ de $1.48$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + {(- 0.077)}^{2} + {(1.62 - 1.557)}^{2} + {(1.84 - 1.557)}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.12

Eleve $- 0.077$ à potência de $2$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + {(1.62 - 1.557)}^{2} + {(1.84 - 1.557)}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.13

Subtraia $1.557$ de $1.62$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + {0.063}^{2} + {(1.84 - 1.557)}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.14

Eleve $0.063$ à potência de $2$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + {(1.84 - 1.557)}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.15

Subtraia $1.557$ de $1.84$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + {0.283}^{2} + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.16

Eleve $0.283$ à potência de $2$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + {(1.87 - 1.557)}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.17

Subtraia $1.557$ de $1.87$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + {0.313}^{2} + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.18

Eleve $0.313$ à potência de $2$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + {(1.99 - 1.557)}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.19

Subtraia $1.557$ de $1.99$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + {0.433}^{2} + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.20

Eleve $0.433$ à potência de $2$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + {(1.51 - 1.557)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.21

Subtraia $1.557$ de $1.51$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + {(- 0.047)}^{2} + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.22

Eleve $- 0.047$ à potência de $2$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + 0.002209 + {(1.271 - 1.557)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.23

Subtraia $1.557$ de $1.271$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + 0.002209 + {(- 0.286)}^{2} + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.24

Eleve $- 0.286$ à potência de $2$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + 0.002209 + 0.081796 + {(1.72 - 1.557)}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.25

Subtraia $1.557$ de $1.72$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + 0.002209 + 0.081796 + {0.163}^{2} + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.26

Eleve $0.163$ à potência de $2$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + 0.002209 + 0.081796 + 0.026569 + {(1.28 - 1.557)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.27

Subtraia $1.557$ de $1.28$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + 0.002209 + 0.081796 + 0.026569 + {(- 0.277)}^{2} + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.28

Eleve $- 0.277$ à potência de $2$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + 0.002209 + 0.081796 + 0.026569 + 0.076729 + {(1.55 - 1.557)}^{2}}{15 - 1}$

Etapa 8.1.29

Subtraia $1.557$ de $1.55$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + 0.002209 + 0.081796 + 0.026569 + 0.076729 + {(- 0.007)}^{2}}{15 - 1}$

Etapa 8.1.30

Eleve $- 0.007$ à potência de $2$ .

$s = \frac{0.094249 + 0.071289 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + 0.002209 + 0.081796 + 0.026569 + 0.076729 + 0.000049}{15 - 1}$

Etapa 8.1.31

Some $0.094249$ e $0.071289$ .

$s = \frac{0.165538 + 0.131769 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + 0.002209 + 0.081796 + 0.026569 + 0.076729 + 0.000049}{15 - 1}$

Etapa 8.1.32

Some $0.165538$ e $0.131769$ .

$s = \frac{0.297307 + 0.016129 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + 0.002209 + 0.081796 + 0.026569 + 0.076729 + 0.000049}{15 - 1}$

Etapa 8.1.33

Some $0.297307$ e $0.016129$ .

$s = \frac{0.313436 + 0.051529 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + 0.002209 + 0.081796 + 0.026569 + 0.076729 + 0.000049}{15 - 1}$

Etapa 8.1.34

Some $0.313436$ e $0.051529$ .

$s = \frac{0.364965 + 0.005929 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + 0.002209 + 0.081796 + 0.026569 + 0.076729 + 0.000049}{15 - 1}$

Etapa 8.1.35

Some $0.364965$ e $0.005929$ .

$s = \frac{0.370894 + 0.003969 + 0.080089 + 0.097969 + 0.187489 + 0.002209 + 0.081796 + 0.026569 + 0.076729 + 0.000049}{15 - 1}$

Etapa 8.1.36

Some $0.370894$ e $0.003969$ .

$s = \frac{0.374863 + 0.080089 + 0.097969 + 0.187489 + 0.002209 + 0.081796 + 0.026569 + 0.076729 + 0.000049}{15 - 1}$

Etapa 8.1.37

Some $0.374863$ e $0.080089$ .

$s = \frac{0.454952 + 0.097969 + 0.187489 + 0.002209 + 0.081796 + 0.026569 + 0.076729 + 0.000049}{15 - 1}$

Etapa 8.1.38

Some $0.454952$ e $0.097969$ .

$s = \frac{0.552921 + 0.187489 + 0.002209 + 0.081796 + 0.026569 + 0.076729 + 0.000049}{15 - 1}$

Etapa 8.1.39

Some $0.552921$ e $0.187489$ .

$s = \frac{0.74041 + 0.002209 + 0.081796 + 0.026569 + 0.076729 + 0.000049}{15 - 1}$

Etapa 8.1.40

Some $0.74041$ e $0.002209$ .

$s = \frac{0.742619 + 0.081796 + 0.026569 + 0.076729 + 0.000049}{15 - 1}$

Etapa 8.1.41

Some $0.742619$ e $0.081796$ .

$s = \frac{0.824415 + 0.026569 + 0.076729 + 0.000049}{15 - 1}$

Etapa 8.1.42

Some $0.824415$ e $0.026569$ .

$s = \frac{0.850984 + 0.076729 + 0.000049}{15 - 1}$

Etapa 8.1.43

Some $0.850984$ e $0.076729$ .

$s = \frac{0.927713 + 0.000049}{15 - 1}$

Etapa 8.1.44

Some $0.927713$ e $0.000049$ .

$s = \frac{0.927762}{15 - 1}$

Etapa 8.2

Simplifique a expressão.

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Etapa 8.2.1

Subtraia $1$ de $15$ .

$s = \frac{0.927762}{14}$

Etapa 8.2.2

Divida $0.927762$ por $14$ .

$s = 0.06626871$

Etapa 9

Aproxime o resultado.

$s^{2} \approx 0.0663$