Prelucrarea statica a datelor

8/18/2019 Prelucrarea statica a datelor

1/22

Nr.crt Val cresc F m3 m4 f(v)

1 0.86 0.006972 -106.5099 504.8783 0.037188

2 0.87 0.016932 -105.8372 500.6313 0.037644

3 1.45 0.026892 -71.48371 296.6717 0.063614

4 1.48 0.036853 -69.94471 288.1862 0.064914

5 1.55 0.046813 -66.43997 269.0952 0.067923

6 1.91 0.056773 -50.25158 185.4384 0.0827847 1.93 0.066733 -49.43894 181.4508 0.083575

8 2.1 0.076693 -42.88235 150.0968 0.090131

9 2.11 0.086653 -42.51586 148.3888 0.090507

10 2.15 0.096614 -41.07077 141.7024 0.092

11 2.38 0.106574 -33.39247 107.5304 0.100216

12 2.48 0.116534 -30.37717 94.78284 0.103583

13 2.54 0.126494 -28.65823 87.69993 0.10554

14 2.63 0.136454 -26.20337 77.82924 0.108384

15 2.76 0.146414 -22.91114 65.07223 0.112293

16 2.82 0.156375 -21.48959 59.74536 0.11401617 2.88 0.166335 -20.12809 54.75242 0.115686

18 2.96 0.176295 -18.40393 48.59005 0.117831

19 3.04 0.186255 -16.78115 42.9631 0.119879

20 3.37 0.196215 -11.09255 24.73861 0.127281

21 3.4 0.206175 -10.6509 23.43412 0.127869

22 3.49 0.216135 -9.396603 19.82871 0.129546

23 3.51 0.226096 -9.13195 19.0876 0.129901

24 3.62 0.236056 -7.764744 15.37575 0.131739

25 3.62 0.246016 -7.764744 15.37575 0.131739

26 3.66 0.255976 -7.303642 14.17053 0.132359

27 3.7 0.265936 -6.861166 13.03759 0.132953

28 3.71 0.275896 -6.753412 12.7653 0.133097

29 3.81 0.285857 -5.737262 10.27085 0.134453

30 3.82 0.295817 -5.641653 10.04327 0.13458

31 3.93 0.305777 -4.659137 7.78169 0.135867

32 3.98 0.315737 -4.253103 6.890877 0.136388

33 4.01 0.325697 -4.021196 6.394506 0.136681

34 4.16 0.335657 -2.987228 4.302206 0.137931

35 4.19 0.345618 -2.804414 3.954785 0.138138

36 4.23 0.355578 -2.572479 3.524811 0.138392

37 4.28 0.365538 -2.301014 3.037798 0.138675

38 4.29 0.375498 -2.249121 2.946798 0.138726

39 4.3 0.385458 -2.198014 2.857858 0.138777

40 4.43 0.395418 -1.602434 1.875169 0.139288

41 4.55 0.405378 -1.158287 1.216433 0.13953

42 4.65 0.415339 -0.857917 0.815192 0.139567

43 4.68 0.425299 -0.779196 0.717016 0.139549

44 4.84 0.435259 -0.439323 0.333973 0.139234

10

5

10

15

20

25

30

35

Histog

nK

0.1

0.12

0.14

0.16


2/22

45 4.87 0.445219 -0.389337 0.284294 0.139134

46 4.88 0.455179 -0.373559 0.269037 0.139098

47 4.9 0.465139 -0.343294 0.240375 0.139022

48 4.97 0.4751 -0.250285 0.15773 0.138711

49 4.98 0.48506 -0.238559 0.147954 0.138662

50 5.09 0.49502 -0.132807 0.067758 0.138024

51 5.13 0.50498 -0.103956 0.04888 0.13775352 5.17 0.51494 -0.079618 0.034252 0.137461

53 5.29 0.5249 -0.029849 0.009259 0.136462

54 5.51 0.534861 -0.000734 6.62E-005 0.134176

55 5.64 0.544821 6.30E-005 2.51E-006 0.132565

56 5.91 0.554781 0.029733 0.009211 0.128654

57 5.91 0.564741 0.029733 0.009211 0.128654

58 5.97 0.574701 0.050571 0.018701 0.12769

59 6.12 0.584661 0.140446 0.073004 0.125139

60 6.14 0.594622 0.157289 0.084905 0.124784

61 6.16 0.604582 0.175428 0.098205 0.12442662 6.17 0.614542 0.184998 0.105412 0.124246

63 6.18 0.624502 0.19491 0.113009 0.124065

64 6.33 0.634462 0.388697 0.283671 0.12126

65 6.33 0.644422 0.388697 0.283671 0.12126

66 6.33 0.654382 0.388697 0.283671 0.12126

67 6.5 0.664343 0.728514 0.655517 0.117889

68 6.66 0.674303 1.190342 1.261524 0.114552

69 6.74 0.684263 1.480764 1.687775 0.11283

70 6.79 0.694223 1.684309 2.003991 0.111738

71 6.86 0.704183 1.999424 2.518874 0.110189

72 6.87 0.714143 2.047415 2.599808 0.109966

73 6.87 0.724104 2.047415 2.599808 0.109966

74 6.94 0.734064 2.405027 3.222255 0.108393

75 6.95 0.744024 2.459282 3.319538 0.108167

76 6.96 0.753984 2.514346 3.419008 0.10794

77 7.32 0.763944 5.086673 8.748061 0.099563

78 7.53 0.773904 7.186822 13.86913 0.094538

79 7.57 0.783865 7.643045 15.05527 0.093574

80 7.76 0.793825 10.0749 21.75976 0.088979

81 7.89 0.803785 12.00584 27.49098 0.08583

82 7.92 0.813745 12.48394 28.96024 0.085104

83 8.03 0.823705 14.34536 34.85637 0.082446

84 8.05 0.833665 14.70252 36.01824 0.081964

85 8.22 0.843625 17.98061 47.1056 0.077883

86 8.46 0.853586 23.38875 66.88714 0.072203

87 8.49 0.863546 24.13256 69.73827 0.071501

88 8.67 0.873506 28.92879 88.80559 0.067339

89 8.76 0.883466 31.54851 99.68697 0.065292

0

0.02

0.04

0.06

0.08V


3/22

90 8.85 0.893426 34.32179 111.5389 0.06327

91 8.95 0.903386 37.58864 125.9144 0.061055

92 9.55 0.913347 61.62051 243.3887 0.048565

93 10.36 0.923307 107.8366 513.2806 0.034248

94 10.62 0.933267 126.4909 634.959 0.030321

95 10.85 0.943227 144.6866 759.5757 0.027119

96 10.97 0.953187 154.8369 831.4429 0.02554797 11.27 0.963147 182.265 1033.406 0.021912

98 11.57 0.973108 212.7548 1270.104 0.018678

99 12 0.983068 262.1194 1677.512 0.014701

100 17.11 0.993028 1524.766 17549.76 0.000333


4/22

k= 8

plaja= 16.25

h= 2.03 frecventa r

h`= 2.05 16.4

plaja noua= 33.31 est s!"est

v v

# a# $# c# n# f# F#

1 0.86 2.91 1.885 17 0.17 0.17

2 2.91 4.96 3.935 30 0.3 0.47

3 4.96 7.01 5.985 29 0.29 0.76

4 7.01 9.06 8.035 15 0.15 0.91

5 9.06 11.11 10.085 5 0.05 0.96

6 11.11 13.16 12.135 3 0.03 0.99

7 13.16 15.21 14.185 0 0 0.99

8 15.21 17.26 16.235 1 0.01 1

3 4 5 6 7 8

ama frecventelor absolute

R

0 2

0

0.05

0.1

0.150.2

0.25

0.3

0.35

fK

f(v)


5/22

me"a me"a%3 frecventa me"a&frecventa

2.052941176 8.652259 0.17 1.470884

4.029333333 65.41835 0.3 19.62551

6.119655172 229.1822 0.29 66.46283

8.164666667 544.2712 0.15 81.64068

10.47 1147.731 0.05 57.3865411.61333333 1566.285 0.03 46.98854

0 0 0 0

17.11 5008.988 0.01 50.08988

s!ma 323.6649 194.1989

0 2 4 6 8 10 12 14 16

f(v)


6/22


7/22

10.6 'e"a

elatva 'e"ana

'"a

$atere me"e a$sl!ta

Varanta

$atere stan"ar"*e+cent "e varate

$# F# *!artle

0.86 0 moment centrat de ordinul 3

2.91 0.17 moment centrat de ordinul

4.96 0.47 *e+cent "e asmetre

7.01 0.76 *e+cent "e $ltre

9.06 0.91 ,tental!l elan

11.11 0.96 a

13.16 0.99 #

15.21 0.99 c17.26 1

ener/a !ntara teretca an!ala

4 6 8 10 12 14 16 18

Frecventa relativa

cK

0

00

0

1

F#


8/22


9/22


10/22

5.6002

5.11

6.33

2.21

7.86

2.820.50

3.62 5.11 6.95

20.918

288.661

0.96

1.82

194.19892

1.2532845

2.0865

6.3227199.6

180.32535

0 2 4 6 8 10 12 14 16

0

.2

.4

.6

.8

1

.2

Frecvente !umulate

$#


11/22


12/22


13/22

18 20


14/22


15/22


16/22


17/22

43 -0.591 1.543 2.382 -0.912

44 -0.560 1.577 2.487 -0.883

45 -0.529 1.583 2.506 -0.837

46 -0.499 1.585 2.513 -0.791

47 -0.469 1.589 2.526 -0.745

48 -0.439 1.603 2.571 -0.704

49 -0.410 1.605 2.577 -0.65850 -0.381 1.627 2.648 -0.620

51 -0.352 1.635 2.674 -0.576

52 -0.324 1.643 2.699 -0.532

53 -0.295 1.666 2.775 -0.492

54 -0.267 1.707 2.912 -0.456

55 -0.239 1.730 2.992 -0.414

56 -0.212 1.777 3.156 -0.376

57 -0.184 1.777 3.156 -0.327

58 -0.157 1.787 3.192 -0.280

59 -0.129 1.812 3.282 -0.23460 -0.102 1.815 3.294 -0.185

61 -0.075 1.818 3.305 -0.136

62 -0.048 1.820 3.311 -0.087

63 -0.021 1.821 3.317 -0.038

64 0.006 1.845 3.405 0.012

65 0.033 1.845 3.405 0.062

66 0.061 1.845 3.405 0.112

67 0.088 1.872 3.504 0.164

68 0.115 1.896 3.595 0.218

69 0.142 1.908 3.641 0.271

70 0.170 1.915 3.669 0.325

71 0.197 1.926 3.708 0.380

72 0.225 1.927 3.714 0.434

73 0.253 1.927 3.714 0.487

74 0.281 1.937 3.753 0.544

75 0.309 1.939 3.759 0.600

76 0.338 1.940 3.764 0.656

77 0.367 1.991 3.963 0.731

78 0.397 2.019 4.076 0.801

79 0.426 2.024 4.097 0.863

80 0.457 2.049 4.198 0.936

81 0.488 2.066 4.267 1.007

82 0.519 2.069 4.282 1.074

83 0.551 2.083 4.340 1.149

84 0.584 2.086 4.350 1.219

85 0.618 2.107 4.438 1.302

86 0.653 2.135 4.560 1.394

87 0.689 2.139 4.575 1.474


18/22

88 0.726 2.160 4.665 1.569

89 0.765 2.170 4.710 1.661

90 0.806 2.180 4.754 1.757

91 0.849 2.192 4.803 1.860

92 0.894 2.257 5.092 2.018

93 0.943 2.338 5.466 2.205

94 0.996 2.363 5.583 2.35395 1.054 2.384 5.684 2.513

96 1.119 2.395 5.737 2.680

97 1.194 2.422 5.867 2.892

98 1.285 2.448 5.995 3.147

99 1.406 2.485 6.175 3.493

100 1.603 2.840 8.064 4.551

-56.790 158.556 282.374 -21.435


19/22

100

158.5564

282.3736

-56.78987

-21.43519

-4.080176

2.21516

a 2.21516

$ 6.308721

!0

!1

!2

V0

V1*0

*1


20/22


21/22


22/22

*lasa

1 17 0.015448 0.179692 16.42436 0.331357 0.0201747392

2 30 0.179692 0.452621 27.29295 7.328102 0.2684979518

3 29 0.452621 0.710687 25.80655 10.19814 0.3951763686

4 15 0.710687 0.879751 16.90642 3.634441 0.2149739753

5 5 0.879751 0.96091 8.115949 9.709135 1.1963032126 3 0.96091 0.990105 2.919513 0.006478 0.0022189259

7 0 0.990105 0.998057 0.795155 0.632272 0.795155105

8 1 0.998057 0.999705 0.164795 0.697567 4.2329297202

7.1254299981

tst!l %2 $serva$l

n#

F(a)

F($)

n#& (n

#-n

#&)2 (n

#-n

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Documents

Prelucrarea statica a datelor