num ped 1 vent 1 Promedio ped 2 vent 2 Promedio ped 3

1

119 26650 223,9495798 49 3491 71,24489796 25

2 69 9310 134,9275362 48 3325 69,27083333 35

3 73 6879 94,23287671 21 1417 67,47619048 33

4 87 14674 168,6666667 44 1916 43,54545455 26

5 72 15329 212,9027778 53 3760 70,94339623 30

6 89 15073 169,3595506 57 7133 125,1403509 35

7 95 10766 113,3263158 39 1782 45,69230769 29

8 85 9910 116,5882353 56 3990 71,25 23

9 81 9600 118,5185185 44 2600 59,09090909 33

10 71 13522 190,4507042 50 2620 52,4 27

11 80 12551 156,8875 44 6330 143,8636364 39

12 111 14770 133,0630631 49 3942 80,44897959 41

13 89 10826 121,6404494 48 3876 80,75 24

14 68 11788 173,3529412 54 4670 86,48148148 31

15 78 10484 134,4102564 63 4276 67,87301587 37

16 95 14419 151,7789474 66 5382 81,54545455 33

17 84 17298 205,9285714 50 3111 62,22 35

18 93 11633 125,0860215 52 4630 89,03846154 30

19 81 16741 206,6790123 38 3046 80,15789474 31

20 77 15412 200,1558442 38 2805 73,81578947 22

21 101 13145 130,1485149 55 4401 80,01818182 33

22 99 13162 132,9494949 52 3624 69,69230769 26

23 90 16018 177,9777778 45 4838 107,5111111 33

24 78 15182 194,6410256 42 4846 115,3809524 33

25 94 11619 123,606383 53 3802 71,73584906 28

26 91 9598 105,4725275 74 5268 71,18918919 24

27 100 18481 184,81 54 2505 46,38888889 31

28 93 11957 128,5698925 38 2065 54,34210526 31

29 85 17568 206,6823529 48 3647 75,97916667 18

30 79 11336 143,4936709 45 4057 90,15555556 33

31 109 14584 133,7981651 52 4850 93,26923077 36

32 73 12833 175,7945205 45 1961 43,57777778 32

33 95 12754 134,2526316 49 2915 59,48979592 29

34 85 13275 156,1764706 42 2457 58,5 28

35 102 16297 159,7745098 54 3885 71,94444444 45

36 102 12091 118,5392157 61 4964 81,37704918 34

37 82 11473 139,9146341 53 3289 62,05660377 28

38 103 17480 169,7087379 54 3174 58,77777778 32

39 82 6076 74,09756098 42 2065 49,16666667 28

40 102 14277 139,9705882 37 4981 134,6216216 26

41 100 8544 85,44 63 4104 65,14285714 27

42 111 17361 156,4054054 50 6852 137,04 31

43 101 11880 117,6237624 43 2765 64,30232558 28

44 137 17722 129,3576642 72 6762 93,91666667 40

45 110 21066 191,5090909 55 2289 41,61818182 32

46 101 15818 156,6138614 47 4677 99,5106383 38

47 103 18211 176,8058252 40 1729 43,225 31

48 91 11234 123,4505495 51 4475 87,74509804 23

49 87 8535 98,10344828 51 4972 97,49019608 30

50 98 11759 119,9897959 56 6222 111,1071429 32

51 89 8806 98,94382022 50 4863 97,26 26

52 87 6831 78,51724138 55 4068 73,96363636 27

53 75 14679 195,72 50 3207 64,14 19

54 91 11109 122,0769231 44 4731 107,5227273 37

55 129 21011 162,875969 52 4006 77,03846154 35

56 95 15511 163,2736842 62 4922 79,38709677 36

57 107 22138 206,8971963 54 5848 108,2962963 37

58 77 9935 129,025974 45 5764 128,0888889 28

59 73 20894 286,2191781 34 2372 69,76470588 33

60 89 10875 122,1910112 50 6348 126,96 33

61 68 4216 62 34 2479 72,91176471 28

62 106 14338 135,2641509 59 2630 44,57627119 36

97 25821 266,1958763 45 2552 56,71111111 25

91 11869 130,4285714 48 2948 61,41666667 25

ven 3 Promedio total de p

2865 114,6

193

Max

286,219

3790 108,2857143 152 Min 41,618 LIMITE INFERIOR

3118 94,48484848 127 R 244,601 1 100

2605 100,1923077 157 No.I 16 2 110

2789 92,96666667 155 T.I 10 3 120

2820 80,57142857 181 4 130

3102 106,9655172 163 5 140

3511 152,6521739 164 6 150

2575 78,03030303 158 7 160

4637 171,7407407 148 8 170

2222 56,97435897 163 9 180

2988 72,87804878 201 10 190

4235 176,4583333 161 11 200

1350 43,5483871 153 12 210

1761 47,59459459 178 13 220

4333 131,3030303 194 14 230

3692 105,4857143 169 15 240

2323 77,43333333 175 16 250

3901 125,8387097 150

3223 146,5 137

1410 42,72727273 189

2507 96,42307692 177

4908 148,7272727 168

2395 72,57575758 153

3066 109,5 175 x

3480 145 189 100

2422 78,12903226 185 100

4400 141,9354839 162 110

1992 110,6666667 151 110

2933 88,87878788 157 110

3737 103,8055556 197 120

4596 143,625 150 120

1927 66,44827586 173 120

2072 74 155 130

5422 120,4888889 201 130

5030 147,9411765 197 130

2857 102,0357143 163 140

3838 119,9375 189 140

3271 116,8214286 152 140

4281 164,6538462 165 150

No.CLASES CATEGORIAS O INTERVALOS

2062 76,37037037 190 150

3367 108,6129032 192 150

1474 52,64285714 172 160

6194 154,85 249 160

2597 81,15625 197 160

2352 61,89473684 186 170

1576 50,83870968 174 170

2436 105,9130435 165 170

3339 111,3 168 180

2067 64,59375 186 180

1825 70,19230769 165 180

2567 95,07407407 169 190

1242 65,36842105 144 190

7450 201,3513514 172 190

2351 67,17142857 216 200

2982 82,83333333 193 200

4755 128,5135135 198 200

2524 90,14285714 150 210

3447 104,4545455 140 210

2623 79,48484848 172 210

2400 85,71428571 130 220

3746 104,0555556 201 220

1741 69,64 167 220

2723 108,92 164 230

10987 230

230

240

240

240

250

250

250

260

260

MARCAS

DE CLASE

LIMITE SUPERIOR XI FI FAI FRI FRAI FIXI

110 105 103 103 0,5568 56% 10815

120 115 13 116 0,0703 63% 1495

130 125 15 131 0,0811 71% 1875

140 135 13 144 0,0703 78% 1755

150 145 8 152 0,0432 82% 1160

160 155 8 160 0,0432 86% 1240

170 165 6 166 0,0324 90% 990

180 175 6 172 0,0324 93% 1050

190 185 1 173 0,0054 94% 185

200 195 4 177 0,0216 96% 780

210 205 6 183 0,0324 99% 1230

220 215 1 184 0,0054 99% 215

230 225 1 185 0,0054 100% 225

240 235 0 185 0,0000 100% 0

250 245 0 185 0,0000 100% 0

260 255 0 185 0,0000 100% 0

185 TOTALES 23015

x 124,41

Desv. Media

y

0 x y

1 0 0 x y

1 20 0 124 0

0 30 0 124 113

4 40 0

4 50 0

0 60 0

15 70 0

15 80 0

0 90 0

42 100 0

42 110 0

0 120 0

25 130 0

25 140 0

Media Aritmetica y Desv. Estandar

CLASES CATEGORIAS O INTERVALOS FRECUENCIAS MEDIDAS DE TENDENCIA

Datos para eje de x

0 150 0

36 160 0

36 170 0

0

15

15

0

13

13

0

14

14

0

11

11

0

3

3

0

3

3

0

0

0

0

2

2

0

1

1

0

1

1

0

0 20 40 60 80 100120140160180200220240260280300320

0

5

10

15

20

25

30

35

40

45

50

0 50 100 150 200 250 300 350

Histograma

|XI-X|FI (XI-X)2FI

1998,756757 3995028,573

122,2702703 14950,01899

8,918918919 79,54711468

137,7297297 18969,47845

164,7567568 27144,7889

244,7567568 59905,86998

243,5675676 59325,15997

303,5675676 92153,26808

60,59459459 3671,704894

282,3783784 79737,54858

483,5675676 233837,5924

90,59459459 8207,38057

100,5945946 10119,27246

0 0

0 0

0 0

4242,054054 4603130,203

22,93002191

Varianza 24881,78488

Desv. Est. 157,739611

MEDIDAS DE TENDENCIA