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/ 621-73;

10 1108-74;
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427-75,

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- 10,

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96890014;

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175

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127 "Xcelite" 28.037-89;

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LP-Magazin Miko-Rack NKAJ 0525;

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;

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f *(x) .

1 .

5,01294899 5,038880825 4,972660542 4,995831966
5,017353535 5,014693737 5,007009983 4,997692585
5,005136967 5,041037083 5,021975994 4,979632854
4,968095779 5,000292778 5,049066544 4,998159885
5,006467342 5,022325039 5,00067234 4,985868454
4,999558449 4,990217209 5,027165413 4,993843555
5,043782711 4,974215508 4,979571819 4,993139744
4,981480122 4,99982357 5,021085739 5,000460148
4,961269379 4,985668659 5,007890701 5,011686802
5,003472805 4,978550911 4,994334698 5,008761406
5,039111137 5,004227638 5,039821625 4,973172665
4,996597767 5,005493164 4,972536564 4,969475746
4,960618496 4,976603031 5,042702675 5,001665115
5,036611557 4,999246597 4,976316929 5,755468845
5,007400036 5,03208971 4,986687183 6,126585484
4,98126173 4,977312565 5,000431538 5,300836563
4,965380669 5,009713173 4,994579792 5,307900429
5,0110116 5,017133713 5,000927925 5,301933765
5,0049119 5,026759148 5,0361166 4,922729015
5,017196655 4,999804974 4,996314049 4,815627575
4,966500282 5,0281744 4,97030735 4,94600296
4,977404594 4,992011547 4,990848064 4,662309647
5,028085232 5,014043808 5,03946352 4,890702724
5,025396824 5,016650677 4,999911785 5,068790436
4,989850998 4,973521709 4,987818241 4,650153637

, 1 2 i , i .

2

ni Pi fi Fi *,%
1 4,65014364 4,86106248 3 0,03 3 3
2 4,86106248 5,07198132 92 0,92 92 95
3 5,07198132 5,28290016 0 0 0 95
4 5,28290016 5,493819 3 0,03 3 98
5 5,493819 5,70473784 0 0 0 98
6 5,70473784 5,91565668 1 0,01 1 99
7 5,91565668 6,126585484 1 0,01 1 100

3 .

16804,07617 18434,65039 18422,02148 18347,1875
17084,10156 18443,71289 18514,65039 18350,88281
17085,69922 18382,97266 18362,88281 18507,27539
17647,04883 18293,33984 18365,69727 18364,90039
17955,64063 18386,47266 18316,90625 18483,92383
18039,43359 18360,66992 18317,76758 18354,35938
18157,75 18358,23438 18361,41602 18415,42578
18166,58203 18306,1543 18334,99414 18372,34961
18184,53906 18309,98047 18466,07617 18355,88281
18209,26563 18376,00195 18380,22656 18536,61523
18219,02344 18509,10352 18382,96094 18358,48438
18222,92188 18349,46875 18328,24609 18361,64258
18241,3457 18310,43164 18359,29102 18363,60547
18243,79492 18492,10547 18466,25 18362,86914
18247,36133 18386,40625 18343,11523 18365,25
18258,34961 18326,72461 18493,45703 18488
18259,36719 18531,27344 18430,94727 18367,98828
18259,62891 18409,45898 18458,2207 18385,62109
18270,16602 18383,51367 18442,82031 18399,79492
18280,79492 18423,84375 18361,41211 18519,09375
18288,28516 18312,50391 18360,47656 18502,57617
18288,5293 18313,29492 18343,39258 18617,91992
18288,63281 18433,12109 18436,70703 19326,76953
18289,43555 18395,15039 18432,06055 16387,62891
18290,96289 18545,10547 18345,44336 27100,88867

, 3 4 i , i .

4

ni Pi fi Fi *,%
1 16387,6289 17918,09458 5 0,05 5 5
2 17918,09458 19448,56026 94 0,94 94 99
3 19448,56026 20979,02594 0 0 0 99
4 20979,02594 22509,49162 0 0 0 99
5 22509,49162 24039,9573 0 0 0 99
6 24039,9573 25570,42298 0 0 0 99
7 25570,42298 27100,88867 1 0,01 1 100

5 .

17,5655426 12,91908264 12,60168228 12,29406891
16,84350739 12,90687866 12,60140305 12,26896515
16,54072266 12,88065491 12,60076675 12,23984604
15,51877594 12,84140167 12,59904099 12,20574799
15,29115601 12,83997498 12,59158478 12,12718124
14,48063965 12,83101501 12,58284302 12,06998749
14,38693237 12,78920212 12,57960281 11,92361755
14,34703064 12,78880234 12,5787796 11,9153801
14,13041077 12,74721451 12,57258911 11,87286072
14,08235474 12,73181534 12,560186 11,86081009
13,96730499 12,71736679 12,55418625 11,83131561
13,94145355 12,70586014 12,54622803 11,66543732
13,78895569 12,66835098 12,53690033 11,5004837
13,74785614 12,66322632 12,52356949 11,46199646
13,69599304 12,65589294 12,48188782 11,4269104
13,68782654 12,63652573 12,46956177 11,01457062
13,67565918 12,63329163 12,43074646 10,80286179
13,6136261 12,62872009 12,42109146 10,65356903
13,2699646 12,62761612 12,39459839 9,255861664
13,21478119 12,62563095 12,38571548 9,213624573
13,18971558 12,61626663 12,36403885 8,776823425
13,14711609 12,61565094 12,35075073 8,290253448
13,14548035 12,61289825 12,34911652 8,279734802
12,95717468 12,60575562 12,34578705 9,892979431
12,9569519 12,60529938 12,29797668 15,4295929

, 5 6 i , i .


6

ni Pi fi Fi *,%
1 8,2797248 9,60626877 5 0,05 5 5
2 9,60626877 10,93281274 3 0,03 3 8
3 10,93281274 12,25935671 14 0,14 14 22
4 12,25935671 13,58590068 59 0,59 59 81
5 13,58590068 14,91244465 13 0,13 13 94
6 14,91244465 16,23898862 3 0,03 3 97
7 16,23898862 17,5655426 3 0,03 3 100

7 .

250,2983093 244,5837555 205,9579315 248,8018799
250,8720551 232,0453186 196,5438538 222,9201355
247,7761536 250,5163422 200,3647156 242,5079193
249,0356293 255,3085938 176,6270599 240,8587189
250,0843506 249,5474548 194,0827484 249,8479309
251,4788055 230,1451263 146,8002319 243,1485138
249,5181122 267,1096497 163,9713135 244,3944244
250,0989838 244,7053833 200,7573853 253,2803345
252,986969 254,8237152 179,1278687 249,9518738
247,5245972 250,882019 205,8604736 249,3835297
254,8988495 261,5131836 146,3356476 249,3876801
216,7918243 241,4334869 136,4343414 247,4496765
358,2638245 210,411499 206,5396729 267,2297363
243,4319305 245,8062897 139,7104187 242,9562531
288,9634705 197,7644958 209,0565186 233,8112335
249,9796753 184,3562775 162,2723846 242,4973907
238,904068 190,164856 159,2864685 200,9405518
255,1957092 150,3590088 199,4673462 231,8576508
251,4129791 189,8923798 192,3840027 263,8157959
253,9359283 204,9264374 252,4834747 210,4630432
253,8464966 178,1905212 224,2230835 250,1812134
245,5845947 185,9694214 237,5892639 233,9590607
270,2377625 166,4340515 259,303009 210,9345093
270,2365723 163,8283844 247,7649384 248,4683838
249,0013275 180,8751831 247,457428 305,9985657

, 7 8 i , i .

8

ni Pi fi Fi *,%
1 136,4343314 168,1242576 10 0,1 10 10
2 168,1242576 199,8141837 13 0,13 13 23
3 199,8141837 231,5041099 15 0,15 15 38
4 231,5041099 263,194036 54 0,54 54 92
5 263,194036 294,8839622 6 0,06 6 98
6 294,8839622 326,5738883 1 0,01 1 99
7 326,5738883 358,2638245 1 0,01 1 100

- mx σ.

, mx , -

(6)

(6) .

m σ . .

m σ
1 5,0190 0,1563
2 18388,80807 944,5917262
3 12,65676441 1,455717896
4 228,073994 37,77710954

f (x) .

1

m σ , (7) .

f(x) ni.

9

x ni f(x) f(x)
4,815627575 3 3,260869565 1,095053943 43,15842016
5,001665115 92 100 2,537289222 100
0 0 0 3,31E-224 1,30E-222
5,301933765 3 3,260869565 0,496088258 19,55190025
0 0 0 3,3063E-224 1,3031E-222
5,755468845 1 1,086956522 3,85842E-05 0,001520684
6,126585484 1 1,086956522 3,19E-11 1,26E-09

f(x) ni.

10

x ni f(x) f(x)
16804,07617 5 5,319148936 0,000103415 24,61515354
18488 94 100 0,000420128 100
0 0 0 2,14E-86 5,10E-81
0 0 0 2,14E-86 5,09849E-81
0 0 0 2,14E-86 5,09849E-81
0 0 0 2,14E-86 5,09849E-81
27100,88867 1 1,063829787 1,43E-22 3,39E-17

f(x) ni.

11

x ni f(x) f(x)
8,290253448 5 8,474576271 0,00304925 1,116985016
9,892979431 3 5,084745763 0,045208432 16,56051362
11,46199646 14 23,72881356 0,195735231 7,17E+01
12,78920212 59 100 0,272989313 100
14,13041077 13 22,03389831 0,164215465 60,15453984
15,4295929 3 5,084745763 0,044677483 16,36601892
16,84350739 3 5,084745763 0,004382805 1,61E+00

f(x) ni.


12

x ni f(x) f(x)
146,8002319 10 18,51851852 0,00104369 11,68839955
185,9694214 13 24,07407407 0,005675041 63,55542914
205,9579315 15 27,77777778 0,00889872 9,97E+01
249,9796753 54 100 0,008929279 100
270,2365723 6 11,11111111 0,00566732 63,46896066
305,9985657 1 1,851851852 0,001258892 14,09846873
358,2638245 1 1,851851852 2,78631E-05 3,12E-01

.

-

1

13

. P*i Pi
1 4,65014364 4,86106248 0,15 0,03 0,16 5,02
2 4,86106248 5,07198132 0,46 0,92
3 5,07198132 5,28290016 0,33 0
4 5,28290016 5,493819 0,05 0,03
5 5,493819 5,70473784 0 0
6 5,70473784 5,91565668 0 0,01
7 5,91565668 6,12658548 0 0,01

.

:

k k=7.

.

8 , , 0.1% ( r=k-3=7-3=4), 0.1%, , , , ,


14

. P*i Pi
1 16387,6289 17918,0945 0,29 0,05 944,59 18388,80
2 17918,0945 19448,5602 0,57 0,94
3 19448,5602 20979,0259 0,07 0
4 20979,0259 22509,4916 0,05 0
5 22509,4916 24039,9573 0 0
6 24039,9573 25570,4229 0 0
7 25570,4229 27100,8886 0 0,01

.

:

k k=7.

.

8 , , 0.1% ( r=k-3=7-3=4), 0.1%, , , , ,

15

. P*i Pi
1 8,2797248 9,60626877 0,0174 0,05 1,46 12,66
2 9,60626877 10,9328124 0,0982 0,03
3 10,9328127 12,2593567 0,2766 0,14
4 12,2593567 13,5859006 0,3453 0,59
5 13,5859006 14,9124446 0,1993 0,13
6 14,9124446 16,2389886 0,0546 0,03
7 16,23898862 17,5655426 0,0068 0,03

.

:

k k=7.

.

8 , , 98% ( r=k-3=7-3=4), 98%, , , , ,

16

. P*i Pi
1 136,434331 168,124257 0,0483 0,1 37,77 228,08
2 168,124257 199,814183 0,1707 0,13
3 199,814183 231,504109 0,3093 0,15
4 231,504109 263,194036 0,2879 0,54
5 263,194036 294,883962 0,1378 0,06
6 294,883962 326,573888 0,0338 0,01
7 326,573888 358,263824 0,0043 0,01

.

:

k k=7.

.

8 , , 98% ( r=k-3=7-3=4), 98%, , , , ,

( ).

1

(X-).


, , 1% :

UCL = 5 + 0.05 = 5.05

LCL = 5 - 0.05= 4.95

- .

, :


, , :

R .

R= 0,2228

UCL=D4*R=1,672*0,2228=0,3725

LCL=D3*R=0,328*0,2228=0,0730

S-


UCL=B6*σ=1,563*0,0608=0,0934

LCL=B5*σ=0,399*0,0608=0,0242

4 , X- , , , , . : , 185.

(X-).


, , 1% :

UCL = 18362 + 183,62 = 18546,62

LCL = 18362 183,62= 18178,38

   - .

, :

, , :

R .

R= 1736.14

UCL=D4*R=1,672*1736.14=2902.83

LCL=D3*R=0,328*1736.14=569.45

S-

UCL=B6*σ=1,563*406.67=624.65

LCL=B5*σ=0,399*406.67=162.26

4 , X- , , 1 , , . .

(X-).

   - .

  

, :

, , :

R .


R= 1.57

UCL=D4*R=1.672*1.57=2.62

LCL=D3*R=0.328*1.57=0.51

S-

UCL=B6*σ=1.563*0.44=0.68

LCL=B5*σ=0.399*0.44=0.18

4 , X- , , , , . 130.

(X-).

   - .


, :

, , :

R .


R= 35.21

UCL=D4*R=1.672*35.21=58.89

LCL=D3*R=0.328*35.21=11.55

S-

UCL=B6*σ=1.563*8.11=12.46

LCL=B5*σ=0.399*8.11=3.44


4 , X- , , 4 , 5 6 , , 170


ѻ - Excel Maple. 4 . 100 7 . Excel , . , .


1. .. , .. , .. . - 2007

2. . , ., . . - : , 2005.

3. .. , . M.: ,1998. 336.: . ISBN 985-6182-51-4.

- : ѻ :

 

 

 

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. , :