Statistica

ARMONICA 1 -1

= []

P)]=

=

u :

(2 1

-

[(54 15)

(0 75

(7) =

=

+ .

+

GEOMETRICA I 0

=

i 9 2

P(i) 108 158

4 2

50 8

.

wo : . .

X =

=

= .

. .

i 1

= 2

S

QUADRATICA =

(Pki))] [520 252

[ 6520

4)

(102

4)

me 0

+ +

= · .

. .

V55 7

9

= .

MODA G5 10] BIMODALE

Xero >

= ; -

limm1 15

Max =

x

=

to

1-

lin <Min 5

ms = =

8 + 00 a)

g(M

Yk)

g(x1

MEDIA 4

DI 4

, . .

x2 =

-

. ..

.

.

, ,

, ,

CHISINI 83jxa)

(x1 50w +

x2

9) ...

j

; = X4

wi C 50x

=

i 1

=

M)

g(x1jx2jxjxa) g( 4

u

= , ,

,

=

C 50

50

& Wi

i 1

= Mwi

: =

wi i 1

=

un 12

↳ N =

& -?

-1 M N

wi

X : =

.

1

i = 1

M-1 =

_

M i P(xi)

↳

(m-1)-1 pi)]

[

= pi)]

[

M = P(xi) wi/N

Xi wi =

3/12

0

S 25

0

= .

3112 25

0

= . 35

112

70 9 2

0 0

= .

. 15

90E 2112 =

0 0

. .

(+

W = 1

(1 -

591 63

0

=

. .

[bx) G

4 a +

= bil's

= = wi

Cist wi +

i a

.

(x M)

Xk) g(M

g) ,

1 =

-

. .

. .

.

.

. =

[a (Dxi)] M]

+

wi

+ · a

=

wi (pi

(bi wi] +

wi

+ . wi

K + (bi)"

-

& wwi

i 1

=

Dwi wi

i 1

=

13 b

wi Wi

i 1

=

~

-N

EX: wi 43

=

1

i = =

M3 Qui P(i)

43 Xi

E

= i 1

=

K

EXi

M pi)

= i 1

= P(i)]

(43)113 [x * >1 >

: =

= =

Piyte

[x

me .

= 113

(bx)

Y a +

= =

)

(1 4k iwi

g . . .

.

.

K =

(bx)11]wi

& [a +

i = 1 ai

=

a wi d 113 mi

- . ,

.

i i

= 1 1

= wi

b Mi

.

.

* 1 !

i

: N

x = .

i 1

= PY

- 1

113 >

(ui-

↑ :

[

(MB)" = 1

M1130 = 3

ESERCITAZIONE 1

.

"Student"

In

y -

= - "STUDENTEsse"

Ye 23]

[10 ;

x1 =

- 25]

22

x x2 ;

= - =

I 30]

X3 [27 -41

;

= P((41)

(4)

[s 23]P(xe 3

0

=

; .

*

42p(x(42) 8

/41)

26]P(x

[24 0

= .

;

P(x1/42)

23]

[18 ; 10]P(xg(41) 2

0

=

[F .

P(xc(72) ;

26]

[29 ; 3074(x3/42)

[27 ;

EP(i(na) 1

=

P(xi/45) PiMi) =

P 5

pij >

= -

.

.

P

Y Je

U 5 J W

.

. = .

50/100

Un 50 5 M 100

0 =

= . 11

9

4250

* Y1 42 DISTR

STUDENTESSE

STUDENTI MARS DIX

= =

/41) P(xe (42)

x[18 23]PM Pe

PEn Prz p

p 2 0

; 15 25

1 1

= = 0

0

= +

= =

.

. .

. .

0 1

5

0 2

5

3 15 0

0

0 0

. =

. . =

. .

. . .

26]

2(24 P(xe(41/4 PC

Pan 1 P PA2142) Li

; 22 0 2

x G

P 2 0 + 0

. = =

. =

= =

.

. . . .

25

5 4 j 2

.

0

0

5

0 0 0 0

= .

- =

. .

. . .

30]

[27 P31 P(xg(11)4 3

1

P P3 + 2 0

0

2

1 2 G

x 0

03 =

0 =

; = , = 0

. .

=

. .

. .

.

/

2 5

0

.

0 0

=

. .

.

MAR

IST P

P

D 1 2+

15

1 1 0 2

25 2

0

0 0 0

+ +

= =

+ &

: 0

= P

. .

. . . 5

. . . 1

5 5

0

= +0

. =

5

DI Y .

j 0 .

0 . . & P 25 45 3

0

0 0

= +

+ .

.

.

.

2 I P

Pr

P

Pij Pi i 1 [

0

25

j 15 1 =

0

=

· =

. = =

.

= .

. .

.

im 25

.

0

15 5

0 0

+

= .

.

/0 indi

0 25 sono

15 non

-y

. .

kh Ciis-pis]

y P

ES Pi

PiT

.

3 . J

= .

= .

PiJ

i 15 1

= =

x44442 <

Pr P

x 5 125

0

=

.

. .

25 .

0 0

.

. 125

0 . 225

X2 0 . 25

X3 0 . pit

↑ o

+

T

= 2-13

(3-1

% wie

05

= 0

= ;

.

m

4(k 1

, 13

(2 1

min =

,

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b3

be

be 7333 22

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