Sprendimas: U0H9G3 - 1

s^² =

( (x1-x__v)^²* m1+ (x2-x__v)^²* m2+ (x3-x__v)^²* m3)

/ (n-1)

s^² =

( (x1-x__v)^²* m1+ (x2-x__v)^²* m2+ (x3-x__v)^²* m3)

/ (n-1)

$s^{2}$ = $\frac{(x1-x_{v})^{2}\cdot m1+(x2-x_{v})^{2}\cdot m2+(x3-x_{v})^{2}\cdot m3}{n-1}$

s^² =

x1^²* m1

/ (n-1)

2* x1* x__v* m1

/ (n-1)

x__v^²* m1

/ (n-1)

x2^²* m2

/ (n-1)

2* x2* x__v* m2

/ (n-1)

x__v^²* m2

/ (n-1)

x3^²* m3

/ (n-1)

2* x3* x__v* m3

/ (n-1)

x__v^²* m3

/ (n-1)

$s^{2}$ = $\frac{x1^{2}\cdot m1}{n-1}-\frac{2\cdot x1\cdot x_{v}\cdot m1}{n-1}+\frac{x_{v}^{2}\cdot m1}{n-1}+\frac{x2^{2}\cdot m2}{n-1}-\frac{2\cdot x2\cdot x_{v}\cdot m2}{n-1}+\frac{x_{v}^{2}\cdot m2}{n-1}+\frac{x3^{2}\cdot m3}{n-1}-\frac{2\cdot x3\cdot x_{v}\cdot m3}{n-1}+\frac{x_{v}^{2}\cdot m3}{n-1}$

s = saknis(

x1^²* m1

/ (n-1)

2* x1* x__v* m1

/ (n-1)

x__v^²* m1

/ (n-1)

x2^²* m2

/ (n-1)

2* x2* x__v* m2

/ (n-1)

x__v^²* m2

/ (n-1)

x3^²* m3

/ (n-1)

2* x3* x__v* m3

/ (n-1)

x__v^²* m3

/ (n-1)

) $s$ = $\sqrt {\frac{x1^{2}\cdot m1}{n-1}-\frac{2\cdot x1\cdot x_{v}\cdot m1}{n-1}+\frac{x_{v}^{2}\cdot m1}{n-1}+\frac{x2^{2}\cdot m2}{n-1}-\frac{2\cdot x2\cdot x_{v}\cdot m2}{n-1}+\frac{x_{v}^{2}\cdot m2}{n-1}+\frac{x3^{2}\cdot m3}{n-1}-\frac{2\cdot x3\cdot x_{v}\cdot m3}{n-1}+\frac{x_{v}^{2}\cdot m3}{n-1}}$

s = saknis(

m1* x1^²

/ (n-1)

2* m1* x1* x__v

/ (n-1)

m1* x__v^²

/ (n-1)

m2* x2^²

/ (n-1)

2* m2* x2* x__v

/ (n-1)

m2* x__v^²

/ (n-1)

m3* x3^²

/ (n-1)

2* m3* x3* x__v

/ (n-1)

m3* x__v^²

/ (n-1)

) $s$ = $\sqrt {\frac{m1\cdot x1^{2}}{n-1}-\frac{2\cdot m1\cdot x1\cdot x_{v}}{n-1}+\frac{m1\cdot x_{v}^{2}}{n-1}+\frac{m2\cdot x2^{2}}{n-1}-\frac{2\cdot m2\cdot x2\cdot x_{v}}{n-1}+\frac{m2\cdot x_{v}^{2}}{n-1}+\frac{m3\cdot x3^{2}}{n-1}-\frac{2\cdot m3\cdot x3\cdot x_{v}}{n-1}+\frac{m3\cdot x_{v}^{2}}{n-1}}$