Nueva Fórmula del límite de coeficiente de variación para funciones de Emil Núñez Rojas.

1. Emil Núñez Rojas
This topic is genuinely new and discovered by the author on 08 August 2007 in
Institute of Applied Mathematics in Lima Peru - Emil Núñez studied at
Technological University of Prague (CVUT), Faculty of Engineering Physics
(Fjfi): noverbal@hotmail.com, cel: 954 638125.
LIMITS OF VARIATION COEFFICIENT FUNCTION OF FORM:
1
n m x y f : ; Nnm,
It is argued that the limit of the coefficient of variation of the power function which passes through the diagonal of the table of limits of the
coefficient of variation of the function is given by the following formula:
n
2 1
x
n
lim ( )


x
 n
x

And the general formula of the limits of the coefficients of variation of the table functions is given by:
m

Although this table was shown that N n m  , . However it holds that R n m   , .
Otherwise. If b m  , then b b a n    2 . The same property holds:
b
a
  
 
CV x a b b b
x
 



2
lim .
TABLE LIMITS THE COEFFICIENT OF VARIATION OF THE FUNCTION OF THE FORM: n m f : y  x ;m,n N
natural
numbers
root
Inverse
*2
*3
*4
1 1
1
   

1
lim ( ) 1 1 1 2
CV x x
2
1    

1
lim ( ) 1 2 2 2 2
CV x x
3
2    

1
lim ( ) 1 3 3 3 2
CV x x
4
3    

1
lim ( ) 1 4 4 4 2
CV x x
4
2 1,41421356
1
   

2
lim ( ) 2 1 1 2
CV x x
0,70710678
2
   

2
lim ( ) 2 2 2 2 2
CV x x
1,41421356
3
   

2
lim ( ) 2 3 3 3 2
CV x x
2,12132034
4
  

2
lim ( ) 18 4 4 CV x x
2,82842712
3 1,73205081

limCV(x)
x


limCV( x ) 2
x
1
3
=0,57735027
2
   

3
lim ( ) 3 2 2 2 2
CV x x
1,15470054
3
   

3
lim ( ) 3 3 3 3 2
CV x x
1,73205081
4
  

3
lim ( ) 19 4 4 CV x x
2,30940108
4 2
1
   

4
lim ( ) 4 1 1 2
CV x x
0,5
2
   

4
lim ( ) 4 2 2 2 2
CV x x
3
1    

4
lim ( ) 4 3 3 3 2
CV x x
1,5
4
lim CV ( 20 
4 x 4 )   2
x 
4
5 2,23606798
1
   

5
lim ( ) 5 1 1 2
CV x x
0,4472136
  lim ( ) 2 CV x x
lim ( ) 4 CV x x =
2
   

5
lim ( ) 5 2 2 2 2
CV x x
3
   

5
lim ( ) 5 3 3 3 2
CV x x
1,34164079
4
  

5
lim ( ) 21 4 4 CV x x
1,78885438
(2 )
lim . ( )
n m n
CV x n m
x 


2. 5
2
lim ( ) 24 1 1 2
CV x x    

2
2
=0,89442719
6 2,44948974
1
   

6
lim ( ) 6 1 1 2
CV x x
0,40824829
2
   

6
lim ( ) 6 2 2 2 2
CV x x
0,81649658
3
   

6
lim ( ) 6 3 3 3 2
CV x x
1,22474487
4
  

6
lim ( ) 22 4 4 CV x x
1,63299316
7 2,64575131
1
   

7
) ( lim 7 1 1 2
x CV x
0,37796447
2
   

7
) ( lim 7 2 2 2 2
x CV x
0,75592895
lim ( ) 6 CV x x
) ( lim 3 x CV x  =
3
   

7
lim ( ) 7 3 3 3 2
CV x x

3
7
1,13389342
4
  

7
lim ( ) 23 4 4 CV x x
1,51185789
8 2,82842712
1
8
x CV
) ( lim
 x
1
   

8
lim ( ) 8 1 1 2
CV x x
0,35355339
2
   

8
) ( lim 8 2 2 2 2
x CV x
0,70710678
3
   

8
) ( lim 8 3 3 3 2
x CV x
1,06066017
4
  

8
) ( lim 24 4 4 x CV x
1,41421356
9 3
1
   

9
lim ( ) 9 1 1 2
CV x x
0,33333333
2
   

9
lim ( ) 9 2 2 2 2
CV x x
0,66666667
3
   

9
lim ( ) 9 3 3 3 2
CV x x
1   lim ( ) 4 CV x x
  lim ( ) 8 CV x x
4
   

9
lim ( ) 9 16 4 4 CV x x
=1,33333333
10 3,16227766
1
   

10
lim ( ) 10 1 1 2
CV x x
0,31622777
2
   

10
lim ( ) 10 2 2 2 2
CV x x
0,63245553
3
   

10
lim ( ) 10 3 3 3 2
CV x x
0,9486833
4
   

10
lim ( ) 10 16 4 4 CV x x
1,26491106
11 3,31662479
1
   

11
lim ( ) 11 1 1 2
CV x x
0,30151134
2
   

11
lim ( ) 11 2 2 2 2
CV x x
0,60302269
3
   

11
lim ( ) 11 3 3 3 2
CV x x
0,90453403
4
   

11
lim ( ) 11 16 4 4 CV x x
1,20604538
12 3,46410162
1
   

12
lim ( ) 12 1 1 2
CV x x
0,28867513
2
   

12
lim ( ) 12 2 2 2 2
CV x x
0,57735027
3
   

12
lim ( ) 12 3 3 3 2
CV x x
0,8660254
4
   

12
lim ( ) 12 16 4 4 CV x x
1,15470054
13 3,60555128
1
   

13
lim ( ) 13 1 1 2
CV x x
0,2773501
2
   

13
lim ( ) 13 2 2 2 2
CV x x
0,5547002
3
   

13
lim ( ) 13 3 3 3 2
CV x x
0,83205029
4
   

13
lim ( ) 13 16 4 4 CV x x
1,10940039
14 3,74165739
1
   

14
lim ( ) 14 1 1 2
CV x x
0,26726124
2
   

14
lim ( ) 14 2 2 2 2
CV x x
0,53452248
3
   

14
lim ( ) 14 3 3 3 2
CV x x
0,80178373
4
   

14
lim ( ) 14 16 4 4 CV x x
1,06904497
15 3,87298335
1
lim ( ) 15 1 1 2
CV x x
   
 15
1
CV x =0,25819889
15
lim ( ) 3 
x
2
   

15
lim ( ) 15 2 2 2 2
CV x x
0,51639778
3
   

15
lim ( ) 15 3 3 3 2
CV x x
0,77459667
4
   

15
lim ( ) 15 16 4 4 CV x x
1,03279556
16 4
1
   

16
lim ( ) 16 1 1 2
CV x x
0,25
2
   

16
lim ( ) 16 2 2 2 2
CV x x
0,5
3
   

16
lim ( ) 16 3 3 3 2
CV x x
0,75
4
   

16
lim ( ) 16 16 4 4 CV x x
1
17 4,12310563
1
   

17
lim ( ) 17 1 1 2
CV x x
0,24253563
2
   

17
lim ( ) 17 2 2 2 2
CV x x
0,48507125
3
   

17
lim ( ) 17 3 3 3 2
CV x x
0,72760688
4
   

17
lim ( ) 17 16 4 4 CV x x
0,9701425
18 4,24264069
1
   

18
lim ( ) 18 1 1 2
CV x x
0,23570226
2
   

18
lim ( ) 18 2 2 2 2
CV x x
0,47140452
3
   

18
lim ( ) 18 3 3 3 2
CV x x
0,70710678
4
   

18
lim ( ) 18 16 4 4 CV x x
0,94280904
19 4,35889894
1
   

19
lim ( ) 19 1 1 2
CV x x
0,22941573
2
   

19
lim ( ) 19 2 2 2 2
CV x x
0,45883147
3
   

19
lim ( ) 19 3 3 3 2
CV x x
0,6882472
4
   

19
lim ( ) 19 16 4 4 CV x x
0,91766294
20 4,47213595
1
   

20
lim ( ) 20 1 1 2
CV x x
0,2236068
2
   

20
lim ( ) 20 2 2 2 2
CV x x
0,4472136
3
   

20
lim ( ) 20 3 3 3 2
CV x x
0,67082039
4
   

20
lim ( ) 20 16 4 4 CV x x
4
  
20
lim ( ) 4 CV x x
0,89442719
21 4,58257569
1
   

21
lim ( ) 21 1 1 2
CV x x
0,21821789
2
 
lim . ( ) 3 2 CV x
x
 21
2
   

21
lim ( ) 21 2 2 2 2
CV x x
0,43643578
3
   

21
lim ( ) 21 3 3 3 2
CV x x
0,65465367
4
   

21
lim ( ) 21 16 4 4 CV x x
0,87287156
22 4,69041576
1
lim ( ) 22 1 1 2
CV x x
   
 22
0,21320072
2
   

22
lim ( ) 22 2 2 2 2
CV x x
0,42640143
3
   

22
lim ( ) 22 3 3 3 2
CV x x
0,63960215
4
   

22
lim ( ) 22 16 4 4 CV x x
0,85280287
23 4,79583152
1
   

23
lim ( ) 23 1 1 2
CV x x
0,20851441
2
   

23
lim ( ) 23 2 2 2 2
CV x x
0,41702883
3
   

23
lim ( ) 23 3 3 3 2
CV x x
0,62554324
4
   

23
lim ( ) 23 16 4 4 CV x x
0,83405766
24 4,89897949
1
   

24
24
lim ( ) 24 2 2 2 2
CV x x
0,40824829
3
   

24
lim ( ) 24 3 3 3 2
CV x x
0,61237244
4
   

24
lim ( ) 24 16 4 4 CV x x
0,81649658

3. 3
1
CV x =0,20412415
24
lim ( ) 4 
x
25 5
1
   

25
lim ( ) 25 1 1 2
CV x x
0,2
2
   

25
lim ( ) 25 2 2 2 2
CV x x
0,4
3
   

25
lim ( ) 25 3 3 3 2
CV x x
0,6
4
   

25
lim ( ) 25 16 4 4 CV x x
0,8
26 5,09901951
1
   

26
lim ( ) 26 1 1 2
CV x x
0,19611614
2
   

26
lim ( ) 26 2 2 2 2
CV x x
0,39223227
3
   

26
) ( lim 26 3 3 3 2
x CV x
0,58834841
4
   

26
) ( lim 26 16 4 4 x CV x
0,78446454
27 5,19615242
1
   

27
lim ( ) 27 1 1 2
CV x x
0,19245009
2
   

27
lim ( ) 27 2 2 2 2
CV x x
0,38490018
3
   

27
lim ( ) 27 3 3 3 2
CV x x
3
 
) ( . lim 3 3 x V C
x
  27
0,57735027
4
   

27
lim ( ) 27 16 4 4 CV x x
0,76980036
28 5,29150262
1
   

28
lim ( ) 28 1 1 2
CV x x
0,18898224
2
   

28
lim ( ) 28 2 2 2 2
CV x x
0,37796447
3
   

28
) ( lim 28 3 3 3 2
x CV x
0,56694671
4
   

28
) ( lim 28 16 4 4 x CV x
0,75592895
29 5,38516481
1
   

29
lim ( ) 29 1 1 2
CV x x
0,18569534
2
   

29
lim ( ) 29 2 2 2 2
CV x x
0,37139068
3
   

29
lim ( ) 29 3 3 3 2
CV x x
0,55708601
4
   

29
lim ( ) 29 16 4 4 CV x x
0,74278135
30 5,47722558
1
   

30
lim ( ) 30 1 1 2
CV x x
0,18257419
2
   

30
lim ( ) 30 2 2 2 2
CV x x
0,36514837
3
   

30
lim ( ) 30 3 3 3 2
CV x x
0,54772256
4
   

30
lim ( ) 30 16 4 4 CV x x
0,73029674
31 5,56776436
1
   

31
lim ( ) 31 1 1 2
CV x x
0,1796053
2
   

31
lim ( ) 31 2 2 2 2
CV x x
0,3592106
3
   

31
lim ( ) 31 3 3 3 2
CV x x
0,53881591
4
   

31
lim ( ) 31 16 4 4 CV x x
0,71842121
32 5,65685425
1
   

32
lim ( ) 32 1 1 2
CV x x
0,1767767
2
   

32
lim ( ) 32 2 2 2 2
CV x x
0,35355339
3
   

32
lim ( ) 32 3 3 3 2
CV x x
0,53033009
4
   

32
lim ( ) 32 16 4 4 CV x x
0,70710678
33 5,74456265
1
   

33
lim ( ) 33 1 1 2
CV x x
0,17407766
2
   

33
lim ( ) 33 2 2 2 2
CV x x
0,34815531
3
   

33
lim ( ) 33 3 3 3 2
CV x x
3
 
lim . ( ) 5 3 CV x
x
 33
0,52223297
4
   

33
lim ( ) 33 16 4 4 CV x x
4
 
lim . ( ) 3 4 CV x
x
 33
0,69631062
34 5,83095189
1
   

34
lim ( ) 34 1 1 2
CV x x
0,17149859
2
   

34
lim ( ) 34 2 2 2 2
CV x x
0,34299717
3
   

34
lim ( ) 34 3 3 3 2
CV x x
0,51449576
4
   

34
lim ( ) 34 16 4 4 CV x x
0,68599434
35 5,91607978
1
   

35
lim ( ) 35 1 1 2
CV x x
1
CV x = 0,16903085
35
lim ( ) 5 
x
2
   

35
lim ( ) 35 2 2 2 2
CV x x
0,3380617
3
   

35
lim ( ) 35 3 3 3 2
CV x x
0,50709255
4
   

35
lim ( ) 35 16 4 4 CV x x
0,6761234
36 6
1
   

36
lim ( ) 36 1 1 2
CV x x
0,16666667
2
   

36
lim ( ) 36 2 2 2 2
CV x x
0,33333333
3
   

36
lim ( ) 36 3 3 3 2
CV x x
0,5
4
   

36
lim ( ) 36 16 4 4 CV x x
0,66666667
37 6,08276253
1
   

37
lim ( ) 37 1 1 2
CV x x
0,16439899
2
   

37
lim ( ) 37 2 2 2 2
CV x x
0,32879797
3
   

37
lim ( ) 37 3 3 3 2
CV x x
0,49319696
4
   

37
lim ( ) 37 16 4 4 CV x x
0,65759595
38 6,164414
1
   

38
lim ( ) 38 1 1 2
CV x x
0,16222142
2
   

38
lim ( ) 38 2 2 2 2
CV x x
0,32444284
3
   

38
lim ( ) 38 3 3 3 2
CV x x
0,48666426
4
   

38
lim ( ) 38 16 4 4 CV x x
0,64888568
39 6,244998
1
   

39
lim ( ) 39 1 1 2
CV x x
0,16012815
2
   

39
lim ( ) 39 2 2 2 2
CV x x
0,32025631
3
   

39
lim ( ) 39 3 3 3 2
CV x x
0,48038446
4
   

39
lim ( ) 39 16 4 4 CV x x
0,64051262
40 6,32455532
1
   

40
lim ( ) 40 1 1 2
CV x x
0,15811388
2
   

40
lim ( ) 40 2 2 2 2
CV x x
0,31622777
3
   

40
lim ( ) 40 3 3 3 2
CV x x
3
 
lim . ( ) 4 3 CV x
x
 2 10
0,47434165
4
   

40
lim ( ) 40 16 4 4 CV x x
0,63245553
41 6,40312424
1
   

41
lim ( ) 41 1 1 2
CV x x
0,15617376
2
   

41
lim ( ) 41 2 2 2 2
CV x x
0,31234752
3
   

41
lim ( ) 41 3 3 3 2
CV x x
0,46852129
4
   

41
lim ( ) 41 16 4 4 CV x x
0,62469505
42 6,4807407
1
   

42
lim ( ) 42 1 1 2
CV x x
0,15430335
2
   

42
lim ( ) 42 2 2 2 2
CV x x
0,3086067
3
   

42
lim ( ) 42 3 3 3 2
CV x x
0,46291005
4
   

42
lim ( ) 42 16 4 4 CV x x
0,6172134
43 6,55743852
1
   

43
lim ( ) 43 1 1 2
CV x x
0,15249857
2
   

43
lim ( ) 43 2 2 2 2
CV x x
0,30499714
3
   

43
lim ( ) 43 3 3 3 2
CV x x
0,45749571
4
   

43
lim ( ) 43 16 4 4 CV x x
0,60999428
44 6,63324958
1
   

44
lim ( ) 44 1 1 2
CV x x
0,15075567
2
   

44
lim ( ) 44 2 2 2 2
CV x x
0,30151134
3
   

44
lim ( ) 44 3 3 3 2
CV x x
0,45226702
4
   

44
lim ( ) 44 16 4 4 CV x x
0,60302269
45 6,70820393
1
   

45
lim ( ) 45 1 1 2
CV x x
0,1490712
2
   

45
lim ( ) 45 2 2 2 2
CV x x
0,2981424
3
   

45
lim ( ) 45 3 3 3 2
CV x x
0,4472136
4
   

45
lim ( ) 45 16 4 4 CV x x
0,59628479
46 6,78232998
1
   

46
lim ( ) 46 1 1 2
CV x x
0,14744196
2
   

46
lim ( ) 46 2 2 2 2
CV x x
0,29488391
3
   

46
lim ( ) 46 3 3 3 2
CV x x
0,44232587
4
   

46
lim ( ) 46 16 4 4 CV x x
0,58976782

4. 4
47 6,8556546
x CV =0,14433757
Data from the ages of 10 adult:
40
41
42
45
48
52
56
56
58
59
Average
49,7
standard Deviation
7,40945342
Coefficient of variation
0,14908357
EFFICIENCY E
1
   

47
lim ( ) 47 1 1 2
CV x x
0,14586499
2
   

47
lim ( ) 47 2 2 2 2
CV x x
0,29172998
3
   

47
lim ( ) 47 3 3 3 2
CV x x
0,43759497
4
   

47
lim ( ) 47 16 4 4 CV x x
0,58345997
48 6,92820323
1
   

48
lim ( ) 48 1 1 2
CV x x
1
48
) ( lim 6 
 x
2
   

48
lim ( ) 48 2 2 2 2
CV x x
0,28867513
3
   

48
lim ( ) 48 3 3 3 2
CV x x
0,4330127
4
   

48
lim ( ) 48 16 4 4 CV x x
0,57735027
49 7
1
   

49
lim ( ) 49 1 1 2
CV x x
0,14285714
2
   

49
lim ( ) 49 2 2 2 2
CV x x
2
 
) ( . lim 5 x V C
x
  49
0,28571429
3
   

49
) ( lim 49 3 3 3 2
x CV x
0,42857143
4
   

49
) ( lim 49 16 4 4 x CV x
0,57142857
50 7,07106781
1
   

50
lim ( ) 50 1 1 2
CV x x
0,14142136
2
   

50
lim ( ) 50 2 2 2 2
CV x x
0,28284271
3
   

50
) ( lim 50 3 3 3 2
x CV x
0,42426407
4
   

50
) ( lim 50 16 4 4 x CV x
0,56568542
 
m
n m n
E x n m


2
m 
b
n  a  b 
b
a  n 2
m 
n
2
b
a
  
2
  E x a b b b  
b
a
CV 

5. 5
Example: Taking the CV of the above data:
 0,14908357 2 44,9925319 b a  
44,9925319 1 1 1 2
   E x
5,7817794 1 E x  
Proof:
b
a
44,9925319

 

x 5,7817794 x DESVESTA PROMEDIO CV
1 1
2 1,12736692 0,09006201 1,06368346 0,08466994
3 1,20926512 0,10545262 1,11221068 0,09481353
4 1,27095616 0,11710481 1,15189705 0,10166257
5 1,32096664 0,12649924 1,18571097 0,1066864
6 1,36328548 0,1343767 1,21530672 0,11057019
7 1,40012154 0,14116332 1,24170884 0,11368472
8 1,43283393 0,14712735 1,26559947 0,11625112
9 1,46232212 0,15244877 1,28745754 0,11841072
10 1,48921408 0,15725427 1,3076332 0,1202587
11 1,5139666 0,16163642 1,32639078 0,12186184
12 1,53692295 0,1656649 1,34393513 0,12326853
13 1,55834801 0,16939352 1,36042843 0,12451483
14 1,5784507 0,17286465 1,37600145 0,12562824
15 1,59739888 0,17611227 1,39076128 0,12663012
16 1,61532957 0,17916406 1,40479679 0,12753735
17 1,63235615 0,18204286 1,41818264 0,12836348
18 1,64857358 0,18476769 1,43098213 0,1291195
19 1,66406221 0,18735465 1,44324951 0,12981446
20 1,67889069 0,18981739 1,45503157 0,13045586
21 1,69311813 0,19216765 1,46636902 0,13104999
22 1,70679586 0,19441557 1,47729751 0,13160218
23 1,71996871 0,19656997 1,48784844 0,13211693
24 1,73267609 0,19863859 1,49804959 0,13259814
25 1,74495286 0,20062822 1,50792572 0,13304914
26 1,75682999 0,2025449 1,51749896 0,13347284
27 1,76833513 0,20439398 1,52678919 0,13387178
28 1,77949309 0,20618025 1,53581433 0,13424816
29 1,7903262 0,207908 1,5445906 0,13460395
30 1,80085464 0,20958109 1,55313273 0,13494088
31 1,81109673 0,21120303 1,56145415 0,13526047
32 1,82106911 0,21277697 1,56956712 0,13556411
33 1,830787 0,21430581 1,57748287 0,13585302
34 1,84026432 0,21579216 1,58521174 0,13612829
35 1,84951384 0,21723843 1,59276323 0,13639091
36 1,85854731 0,21864682 1,60014612 0,13664178
37 1,86737559 0,22001936 1,60736854 0,13688171
38 1,87600868 0,22135791 1,61443802 0,13711143
39 1,88445589 0,2226642 1,62136155 0,13733162
40 1,89272582 0,22393983 1,62814566 0,13754287
41 1,90082649 0,22518626 1,63479641 0,13774575
42 1,90876537 0,22640488 1,64131948 0,13794077
43 1,91654943 0,22759696 1,64772018 0,13812841
44 1,92418518 0,22876369 1,65400347 0,13830908
45 1,93167874 0,22990619 1,66017403 0,13848319
46 1,93903581 0,2310255 1,66623625 0,13865111
47 1,94626178 0,23212258 1,67219424 0,13881317
48 1,9533617 0,23319835 1,67805189 0,13896969
49 1,96034031 0,23425368 1,68381288 0,13912097


  0,14908357
44,9925319

6. 6
50 1,96720212 0,23528936 1,68948067 0,13926727
51 1,97395135 0,23630615 1,69505852 0,13940884
52 1,98059201 0,23730477 1,70054955 0,13954593
53 1,98712787 0,2382859 1,70595669 0,13967875
54 1,99356252 0,23925017 1,71128272 0,13980751
55 1,99989937 0,24019819 1,7165303 0,13993239
56 2,00614164 0,24113053 1,72170193 0,14005358
57 2,01229239 0,24204772 1,72680001 0,14017125
58 2,01835453 0,24295029 1,73182681 0,14028556
59 2,02433083 0,24383871 1,7367845 0,14039664
60 2,03022394 0,24471346 1,74167516 0,14050465
30630 5,96913129 0,75849677 5,08904491 0,14904501
30631 5,96916499 0,75850106 5,08907365 0,14904502
30632 5,9691987 0,75850535 5,08910238 0,14904502
30633 5,9692324 0,75850964 5,08913111 0,14904502
30634 5,9692661 0,75851393 5,08915984 0,14904502
30635 5,96929981 0,75851822 5,08918857 0,14904502
30636 5,96933351 0,7585225 5,0892173 0,14904502
30637 5,96936721 0,75852679 5,08924603 0,14904502
30638 5,9694009 0,75853108 5,08927475 0,14904502
30639 5,9694346 0,75853537 5,08930348 0,14904503
30640 5,9694683 0,75853965 5,08933221 0,14904503
30641 5,969502 0,75854394 5,08936093 0,14904503
30642 5,96953569 0,75854823 5,08938966 0,14904503
30643 5,96956939 0,75855252 5,08941838 0,14904503
30644 5,96960308 0,7585568 5,0894471 0,14904503
30645 5,96963677 0,75856109 5,08947583 0,14904503
30646 5,96967046 0,75856538 5,08950455 0,14904503
30647 5,96970415 0,75856966 5,08953327 0,14904503
30648 5,96973784 0,75857395 5,08956199 0,14904504
30649 5,96977153 0,75857824 5,08959071 0,14904504
30650 5,96980522 0,75858252 5,08961943 0,14904504
30651 5,96983891 0,75858681 5,08964814 0,14904504
30652 5,96987259 0,7585911 5,08967686 0,14904504
30653 5,96990628 0,75859538 5,08970558 0,14904504
30654 5,96993996 0,75859967 5,08973429 0,14904504
30655 5,96997365 0,75860395 5,089763 0,14904504
30656 5,97000733 0,75860824 5,08979172 0,14904505
30657 5,97004101 0,75861252 5,08982043 0,14904505
30658 5,97007469 0,75861681 5,08984914 0,14904505
30659 5,97010837 0,75862109 5,08987785 0,14904505
30660 5,97014205 0,75862538 5,08990656 0,14904505
30661 5,97017573 0,75862966 5,08993527 0,14904505
30662 5,9702094 0,75863395 5,08996398 0,14904505
30663 5,97024308 0,75863823 5,08999269 0,14904505
30664 5,97027675 0,75864252 5,0900214 0,14904505
30665 5,97031043 0,7586468 5,09005011 0,14904506
30666 5,9703441 0,75865109 5,09007881 0,14904506
30667 5,97037777 0,75865537 5,09010752 0,14904506
30668 5,97041145 0,75865966 5,09013622 0,14904506
30669 5,97044512 0,75866394 5,09016492 0,14904506
30670 5,97047879 0,75866822 5,09019363 0,14904506
30671 5,97051246 0,75867251 5,09022233 0,14904506
30672 5,97054612 0,75867679 5,09025103 0,14904506
30673 5,97057979 0,75868108 5,09027973 0,14904507
30674 5,97061346 0,75868536 5,09030843 0,14904507
30675 5,97064712 0,75868964 5,09033713 0,14904507
30676 5,97068079 0,75869393 5,09036583 0,14904507
30677 5,97071445 0,75869821 5,09039453 0,14904507
30678 5,97074811 0,75870249 5,09042322 0,14904507

7. 7
30679 5,97078177 0,75870678 5,09045192 0,14904507
30680 5,97081543 0,75871106 5,09048061 0,14904507
30681 5,97084909 0,75871534 5,09050931 0,14904507
30682 5,97088275 0,75871962 5,090538 0,14904508
30683 5,97091641 0,75872391 5,09056669 0,14904508
30684 5,97095007 0,75872819 5,09059538 0,14904508
30685 5,97098372 0,75873247 5,09062408 0,14904508
30686 5,97101738 0,75873675 5,09065277 0,14904508
30687 5,97105103 0,75874104 5,09068146 0,14904508
30688 5,97108469 0,75874532 5,09071014 0,14904508
30689 5,97111834 0,7587496 5,09073883 0,14904508
30690 5,97115199 0,75875388 5,09076752 0,14904509
30691 5,97118564 0,75875816 5,09079621 0,14904509
30692 5,97121929 0,75876244 5,09082489 0,14904509
Conclusion: the limit of the coefficient of variation of the data tends to infinity the number obtained by formula.
Emil Núñez Rojas: noverbal@hotmail.com
Face book: Emil Francisco Núñez Rojas