Śr.A SS ẍ=⅟n * ∑ⁿ_i=1 x_i

Śr.A SPk ẍ=⅟n * ∑ⁿ_i=1 x_i n_i

Śr.A SP ẍ= ẍ=⅟n * ∑ⁿ_i=1 x^{^} n_i

Śr.H SS ẍ= n/ ∑ ⅟x_i

Śr.G SS ẍ_G= ⁿ√x_1*x_2*…*x_n

War.SS S²(x)= ⅟n ∑ (x_i- ẍ)²

War.SPk S²(x)= ⅟n ∑ (x_i- ẍ)²n_i

War. SP S²(x)= ⅟n ∑ (x_i^{^} - ẍ)²n_i

O.stand. s(x)= √s²(x)

O.przec. SS d(x)= ⅟n * ∑ⁿ_i=1 |x_i - ẍ|

Wsp.Zm. V(x)=s(x)/ ẍ _*100%

Typ.ob.zm. ẍ-s(x)<x_typ< ẍ+s(x)

Wsp.Zm.poz. V_Q =Q/Me _*100%

Typ.Ob.zm. Me-Q<x_typ<Me+Q

Ws.Pearsona As= ẍ-D/s(x)

D. D=x_D+ n_D-n_D-1/( n_D-n_D-1)+( n_D-n_D+1) ∆x_D

Gdy przed.klas mają równe długości

D D=x_D+ g_D – g_D-1 / (g_D – g_D-1)+( g_D – g_D+1) ∆x_D

Wsp.As.poz

AQ= (Q₃-Q₂)-(Q_2-Q₁)/ (Q₃-Q₂)+(Q_2-Q₁)

Kwantyl rzędu β

Q β= x_D+ βn- cum_i=1 / nQ β *∆xQ β

3mom.cent. SS

M₃(x)= ⅟n ∑ (x_i- ẍ)³

3mom.cent.SPk

M₃(x)= ⅟n ∑ (x_i- ẍ)³n_i

3mom.cent. SP

M₃(x)= ⅟n ∑ (x_i^{^} - ẍ)³n_i

3mom.cent. zestandaryzowany

Y₃= M₃(x)/ s³(x)

$$r = \ \frac{\sum_{i = 1}^{n}{\left( x_{\text{i\ }} - \overset{\overline{}}{x}\ \right)(}y_{i} - \overset{\overline{}}{y}\ )}{\sqrt{\sum_{i = 1}^{n}{\left( x_{i} - \ \overset{\overline{}}{x}\ \right)\ }}{\sum_{i = n}^{n}{(y_{i} - \ \overset{\overline{}}{y}\ )}}^{2}}$$

$$a_{1\ } = \ \frac{\sum_{i = 1}^{n}\left( x_{i} - \ \overset{\overline{}}{x}\ \right)\ (y_{i} - \overset{\overline{}}{y}\ )}{\sum_{i = 1}^{n}{\left( x_{i} - \ \overset{\overline{}}{x}\ \right)\ }}$$

$$a_{1} = \ \overset{\overline{}}{y} - \ a_{1}\ \overset{\overline{}}{x}$$

φ =  r²  × 100%

$$\hat{y_{i}} = \ a_{1}x_{i} + \ a_{0}$$