Formulas estadistica descriptiva

1. hi =

ni n 2. N i = ∑ ni

28.2 X i* = 29. 30. 31. 32. 33.

(X i − K) C

53.2 54. 55. 56. 57. 58. 59. 60.

Yi * =

(Yi − K ) C

3. H i = ∑ hi 4. Ai = C i f i * 5. At = ∑ Ai 6. hi = At 7. ni = At * n 8. % = At *100

S = S2 S Sx = n
CV = S X 100

S = S2

SY =

S

n 10. ∑ ( X i − X ) = 0
11. ∑ ( X i − X ) 2 ≤ ∑ ( X i − K ) 2
12.
'

9.

∑X X =

3( X − m d ) AS = S( X − md ) AS = S

n S CV = 100 Y
S kp =
S kp =

; SY =

S2 n

3(Y − M d ) S

i

34. AS = X − m d 35.
AS = 3( X − m e ) S

Q=
P=

3(Y − M e ) S (Yi − Y ) 4 ni ∑

(n − 1)S 4
p ;n

−3

36. AS = ( X − m e )
S

61. N = n n

X = X +K ' ∑ X i' ; 12.2 X ' = ( X − K ) 12.1 X = i i n '' '' ∑ X i'' 13. X = X C + X 1 ; 13.1 X = n 13.2 X ' ' = 0,1,2,.., n * * ∑ X i* 14. X = XC + Y1 : 14.1 X = n
(X i − K) 14.2 X = C 15. m g = n X 1 X 2...... X n
*

37. AS = X − me 38.

∑ 
Q=

39. Y = ∑ Yi ni ,
n

 Xi − X    S   −3 n

2

62. N = n! 63. P( A ∪ B∪...∪ n) = PA + PB + ...+ Pn 64. P( A∩ B ∩...∩n ) = PA .PB ...Pn 65 P[( A∪ B )−( A∩ B )] = ( PA + PB ) − P( A∩ B ) 66. P( A∩ B ) =
A

P( A∩ B ) PA

40. Y = ∑ Yi h i

∑ (Y − Y )n = 0 42. ∑ (Y − Y ) n ≤(Y − K )
41.
i i
2

2

i

i

i

ni

43. Y = Y '+ K 43.1 Y
'

∑Y =

' i

ni

16. m g = 17. m g

n

Xt X0
i

n

n r (n − r ) n 68. n P r = ; (n − r ) N! 69. n Pr =
67.n C r =

N1! N2.!.....N n !

43.2 Yi = (Yi − K ) 44.
Y = Y ' ' C + Y1
''

'

70. P( x ) = n C x p x q n− x 71. 72. 73.

= anti log n (logXn −logX0 ) 18. Mg = = Anti log n 19. t = (m g −1)100
20.

∑ log X =

44.1 Y

∑Y =
*

'' i

ni

P( x ) = e − µ
Zi =

µx
x!

n

Xi − µ
2 i 2

44.2 Yi = 0,1,2,3,...., n
Y =Y C+K ∑ Yi* ni * 45.1 Y = n (Y − K ) 45.2 Yi * = i C ∑I (Yi − Y )ni I 46. DM = n ∑ (Yi − Y ) 2 47. S 2 = n 48. GL = (n − 1)

''

45.

mp =
1 n

∑ X i ni ∑n
1
i

74. t =
2

σ (x −µ) 1 f(x ) = e − 2σ σ 2π X −µ
i

21. H = 22.

SX...