5.1.
: , , ( ) , , , , .
Excel , , .
, A1:J10, G12 G19, .9.
.9.
:
G12 = (A1:J10)
G13 = (A1:J10)
G14 = (A1:J10)
G14 = (G13)
G15 = (A1:J10)
G16 = (A1:J10)
G17 = G16 - G15
G18 = (A1:J10)
G19 = (A1:J10)
5.2.
. , , . .
, - "" .
* k, 6£k£20; k=[5lgn]. , n=100, k=10.
, - , .
:
.
.
- , , ,
- ,
- ,
- ,
, .9, Excel .10.
.10.
, , , :
A23 = 100, B23 = 100, C23 = 0, D23 = B23-C23, E23 = 10,
F23 = D23 / E23.
A25:H25 . A,B,C , , k=10 . D , :
D26 = (B26+C26) / 2
D27:D35.
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E E26:E35 , :
{= (A1:J10; C26:C35)}.
Ctrl + Shift + Enter .
F :
F26 = E26 / $A$23
F27:F35.
G
G26 = E26, G27 = G26 + E27
G27 G28:G35.
H :
H26 = G26 / $A$23
H27:H35.
, (.10), .
* - ( ) (.11),
*
- ( ) (.12).
.11. .12.
5.3.
. . , , , .
, X F(x). X. , . , , X , X . G12 G14 .
Excel A2 B2 (.13). , , (4)-(5) :
B5 = A2 - B2*(3)
B6 = A2 + B2*(3)
B8 = A2
B9 = B2
B11 = (A2/B2)^2
B12 = B2^2/A2
, A14:E14.
.13
A15:A24 , D26:D35 . B15:B24 , ( F26:F35) ( $F$23).
, :
C15 = (A15<$B$5;0;(A15<=$B$6;1/($B$6-$B$5);0))
D15 = (A15;$B$8;$B$9;)
E15 = (A15;$B$11;$B$12;),
C16:E24.
, . - . , X.
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.14-16. | .
.14.
.15.
.16. -
, , . , , .
c2, , X, F(x) , , a ( , ).
c2 , ni, , 5. , , . k¢.
, (6)
pi - , X [ai-1,ai]. , X F(x), pi=F(ai)-F(ai-1). (6) Excel .17.
.17. c2
A , B . C - . , 5- 10- , . k=10 k¢=5. D . , , .
D45=(B52<$B$5;0;(B52<=$B$6;(B52-$B$5)/($B$6-$B$5);1))-
(A52<$B$5;0;(A52<=$B$6;(A52-$B$5)/($B$6-$B$5);1))
D52 = (B52;$B$8;$B$9;)-
(A52;$B$8;$B$9;)
-
D59 = (B59;$B$11;$B$12;)-
(A59;$B$11;$B$12;)
E (6) :
E45 = (C45-100*D45)^2/(100*D45),
E.
(6) :
E50 = (E45:E49)
E57 = (E52:E56)
E64 = (E59:E63),
19,698; 14,214 1,789.
, , , , c2 a r=k¢-s-1. s - , ( , - s=2). r=k¢-s-1=5-3=2. a=0,05, c2 Excel :
E66 = 2(0,05;2),
, .17, 5,991.
1,789<5,991, , - a=2,05 b=9,64 .