1. (): 19; 19; 19; 20; 20; 20; 20; 20; 20; 20; 20; 20; 21; 21; 21; 22; 23; 23; 24; 25; 25; 25; 26; 27; 29.
: 1) ; 2) , , ; 3) .
. , (n):
n = 1 +3,322 lg N, (10)
N .
n = 1 + 3,322 lg 25 = 1 + 3,322*1,398 = 5,64. , , .. 6.
:
h = H / n, (11)
H , (12).
H = min, (12)
Xax Xmin .
h = (29 19)/6 = 1,67.
1, .
1.
Xi, | fi | Xfi | - | (- )2 | (- )2fi | (- )3 fi | (- )4 fi | ||
20,67 | 19,833 | 237,996 | -2,134 | 25,602 | 4,552 | 54,623 | -116,539 | 248,638 | |
20,67-22,33 | 21,5 | 86,000 | -0,467 | 1,866 | 0,218 | 0,871 | -0,406 | 0,189 | |
22,33-24 | 23,167 | 69,501 | 1,200 | 3,601 | 1,441 | 4,323 | 5,190 | 6,231 | |
24-25,67 | 24,833 | 74,499 | 2,866 | 8,599 | 8,217 | 24,650 | 70,659 | 202,543 | |
25,67-27,33 | 26,5 | 53,000 | 4,533 | 9,067 | 20,552 | 41,105 | 186,348 | 844,806 | |
27,33 | 28,167 | 28,167 | 6,200 | 6,200 | 38,446 | 38,446 | 238,383 | 1478,091 | |
549,163 | 54,937 | 164,018 | 383,636 | 2780,498 |
(.2).
.2. .
. (13):
, (13)
Mo ; fMo ( ) ; fMo-1 , ; fMo+1 , ; h .
(12 ) ( 20,67), , . (13), :
= 19 + 1,667*(12-0)/(2*12-4-0) = 20 ().
, . , , . :
|
|
, (14)
XMe ; h (); ( ), ; fMe .
( 20,67 22,33) , . (14), :
= 20,67 + 1,667*(12,5-12)/4 = 20,878 ().
, . . , () , (15). (16).
= ; (15) = . (16)
: Xi ; m - , . (15) (16) m, (. 2).
2.
m | ||||
= (17) | = (18) | , , | ||
1 | = (19) | = (20) | ||
(21) | (22) | |||
= (23) | = (24) | ( ) | ||
= (25) | = (26) | |||
(27) | (28) |
, . m : ( ), < < < < . , , , , .
, (18) , : = 549,163/25 = 21,967 (). . . , . 1/3.
. , .
|
|
(29) (30):
; (29) . (30)
, (31):
. (31)
(32) (33):
; (32) . (33)
, (30), . : = 54,937/25 = 2,198 (). , : = 2,198/21,967 = 0,100. , .. (0,100 < 0,333).
(33), : = 164,018/25 = 6,561. : = = 2,561 (). , : = 2,561/21,967 = 0,117. , .. (0,117 < 0,333).
: (34) (35):
,(34) .(35)
, , ( ), . 0, .
= =383,636/25 = 15,345; =2,5613= 16,797; =15,345/16,797 = 0,914 > 0, , . : As = (21,967-20)/2,561 = 0,768.
4- :
= .(36)
4- , () . () , =3. (37):
.(37)
(38):
,(38)
, , ( ).
4- . (37) : Ex = (2780,498/25)/2,56143 = 111,220/43,0173 = -0,415. Ex<0, . (38): 21,967 0,5*2,561, 20,687 23,248 21,4% . , Ex = 0,214 0,3829 = 0,169.