Tortilleria "Conchita"Número

1 2 102 10 93 5 154 12 905 15 206 20 337 10 268 35 329 40 21

10 30 1011 1 1012 1 1313 1 1114 3 1915 4 1016 27 1017 15 2318 25 1119 5 1020 7 7821 23 1222 1 4023 4 2124 3 1025 6 1126 4 1227 7 2328 5 1829 18 1430 3 1131 9 3032 7 3533 3 1334 10 835 10 1136 5 1637 3 21

Tiempo de Llegada

(seg.)

Tiempo de Realizar el

Servicio (seg.)

38 4 1539 5 3940 20 1741 5 3042 2 1643 8 1944 18 1545 16 1446 5 2247 2 1848 2 3749 42 1850 21 1551 10 1152 18 1353 1 1354 14 2155 17 2056 7 2257 20 2058 13 2159 3 1360 6 14261 9 962 5 1263 10 364 4 1965 9 1066 6 1667 2 1768 4 1969 9 2370 15 4971 8 1372 2 1273 3 2074 2 1775 6 1576 20 1077 43 3278 19 1479 2 2480 3 1781 36 2082 20 10

83 78 1684 103 2885 8 3886 35 3987 82 3888 7 2389 17 1490 4 1691 12 1292 8 1093 7 994 16 3695 23 3096 4 1797 4 2398 5 1599 15 13100 3 21

numero de datos 100dato mayor 103dato menor 1numero de clases 7.44ancho de clase 14.5714286 15

numero de clasesLi Ls fi Fi1 1 16 8.5 74 74 0.742 16.1 31.1 23.6 17 91 0.173 31.2 46.2 38.7 6 97 0.064 46.3 61.3 53.8 0 97 05 61.4 76.4 68.9 0 97 06 76.5 91.5 84 2 99 0.027 91.6 106.6 99.1 1 100 0.01

100 1

MARCA DE CLASES Xi

FRECUENCIA RELATIVA

fi/n

0.740.910.970.970.970.99

1

frecuencia relativa acum Fi/n

11 rango 102 dato mayor1 K = 10 10 dato menor1 ampli. 10.2 clase1 anchura de cla2 C = 10.2 = 10 1022 k Li Ls Fi Fr2 1 1 9 58 0.5982 2 10 19 22 0.2272 3 20 29 10 0.1032 4 30 39 4 0.0412 5 40 49 3 0.0313 97

3 Li Ls MARCA DE CLASE Xi3 1 1 11 6 643 2 11.1 21.1 16.1 223 3 21.2 31.2 26.2 53 4 31.3 41.3 36.3 43 5 41.4 51.4 46.4 23 6 51.5 61.5 56.5 03 7 61.6 71.6 66.6 04 8 71.7 81.7 76.7 14 9 81.8 91.8 86.8 14 10 91.9 101.9 96.9 04 11 102 112 107 14 100444455555555566

Tiempo de Espera (seg.)

FRECUENCIA fi

1 2 3 4 50

10

20

30

40

50

60

Histograma

Clases

Fi

RC k

66777777888899991010101010101212131415151515161617171818181920202020202123

1 2 3 4 50

10

20

30

40

50

60

Histograma

Clases

Fi

1 2 3 4 50

0.2

0.4

0.6

0.8

1

1.2

Poligono de frecuencia acumulada u Ojiva

Clases

Fa

232527303535364042437882103

1031

7.44 6.2214.5714286

100Cliente No. Aleatorio

Fr % Fra Xi Rango 1 0.0875501459.80% 0.598 5 0 - 0.597 2 0.2728811622.70% 0.825 14.5 0.598 – 0.824 3 0.387357910.30% 0.928 24.5 0.825 – 0.927 4 0.947451184.10% 0.969 34.5 0.928 – 0.968 5 0.217501213.10% 1 44.5 0.969 – 1.000 6 0.22364207

7 0.93521396

8 0.8178560264 0.64 9 0.1236204986 0.22 10 0.1361517191 0.05 11 0.052375795 0.04 12 0.6021471297 0.02 13 0.8048332297 0 14 0.2044662497 0 15 0.4972254798 0.0199 0.0199 0

100 0.011

FRE. ACUM Fi

FREC. RELAT f/n

1 2 3 4 50

10

20

30

40

50

60

Histograma

Clases

Fi

1 2 3 4 50

10

20

30

40

50

60

Histograma

Clases

Fi

1 2 3 4 50

0.2

0.4

0.6

0.8

1

1.2

Poligono de frecuencia acumulada u Ojiva

Clases

Fa

Tiempo de servicio555

34.555

34.5

14.5555

14.514.555

10 Rango = 139 dato3 k= 10 7 7.448 ho de de clase 13.9 209 tabla de distrbucion de frecuencia99 k Li Ls fi xi fr1010 1 3 16.8 49 9.9 0.49010 2 16.9 30.7 36 24 0.36010 3 30.8 44.6 11 38 0.11010 4 44.7 58.5 1 52 0.01010 6 72.5 86.3 1 79 0.01010 7 86.4 100.2 1 93 0.01010 11 142 155.8 1 149 0.01010 ###1010 segundo11 k Li Ls xi fi11 1 3.1 23.0 13 7411 2 23.1 42.9 33 2211 3 43.0 62.9 53 111 4 63.0 82.8 73 112 5 82.9 102.8 93 112 6 102.9 122.7 113 012 7 122.8 142.7 133 112 1001213 nos da el total de datos1313 nota primero en calcular13 segundo en calcular13 tercero en calcular131314 Fi primero insertamos la funcion FRECUENCIA que esta localizada en la funcion 14 FORMULAS Y DE AHÍ EN LA FUNCION ESTADISTICA 14 NOS SALE UN CUADRO QUE NOS PIDE DATOS Y GRUPOS14 EN DATOS METEMOS O SELECCIONAMOS LA INFORMACION DE LOS 100 DATOS15 Y EN GRUPO SELECC. EL Ls Y LE DAMOS OK15151515

Tiempo de Realizar el Servicio (seg.)

151616161616171717171718181819191919202020202021212121 Rango = 021 k= 10 721 ncho de de clase 0 022 tabla de distrbucion de frecuencia2223 k Li Ls2323 1 3 16.823 2 17 30.723 3 31 44.624 4 45 58.526 6 73 86.328 7 86 100.230 11 142 155.83030323233

1 2 3 4 5 6 7 80.000

0.200

0.400

0.600

0.800

1.000

1.200

Poligono de frecuencia acumulada u Ojiva

Clases

Fa

353637 k38 138 239 339 440 549 678 790 8142 9

10

100

tabla de distrbucion de frecuencia

Fa Rango Cliente No. AleatorioTiempo de servicio1 0.15324982 9.9

0.490 2 0.34785657 9.90.850 0.490 - 0.849 3 0.46636519 9.90.960 0.850 - 0.959 4 0.06646101 9.90.970 0.960 - 0.969 5 0.04108323 9.90.980 0.970 -0.979 6 0.80342511 240.990 0.980 - 0.989 7 0.64820514 241.000 0.990 - 1.000 8 0.78707718 24

9 0.56431503 2410 0.03645284 9.9

primero fre. Relativa fre. Rel ac 11 0.18399957 9.9Fi fi/n Fi/n 12 0.87553007 38

74 0.74 13 0.54110174 2496 0.96 14 0.31621824 9.997 0.97 15 0.324733 9.998 0.9899 0.9999 0.99100 1

nos da el total de datos

Fi primero insertamos la funcion FRECUENCIA que esta localizada en la funcion FORMULAS Y DE AHÍ EN LA FUNCION ESTADISTICA NOS SALE UN CUADRO QUE NOS PIDE DATOS Y GRUPOSEN DATOS METEMOS O SELECCIONAMOS LA INFORMACION DE LOS 100 DATOS

1 2 3 4 5 6 705

101520253035404550

tiempo de servicio

intervalos de Clases

frecuencias

dato 100

tabla de distrbucion de frecuencia

fi xi fr Fa Rango

49 9.9 0.490 0.490 36 23.8 0.360 0.850 0.490 - 0.84911 37.7 0.110 0.960 0.850 - 0.9591 51.6 0.010 0.970 0.960 - 0.9691 79.4 0.010 0.980 0.970 -0.9791 93.3 0.010 0.990 0.980 - 0.9891 148.9 0.010 1.000 0.990 - 1.000###

1 2 3 4 5 6 7 80.000

0.200

0.400

0.600

0.800

1.000

1.200

Poligono de frecuencia acumulada u Ojiva

Clases

Fa

segundo primeroLi Ls xi fi Fi

3 16.9 9.95 49 4917.00 30.9 23.95 36 8531.00 44.9 37.95 11 9645.00 58.9 51.95 1 9759.00 72.9 65.95 0 9773.00 86.9 79.95 1 9887.00 100.9 93.95 1 99101.00 114.9 107.95 0 99115.00 128.9 121.95 0 99129.00 142.9 135.95 1 100

100

Tiempo de servicio

1 2 3 4 5 6 705101520253035404550

tiempo de servicio

intervalos de Clases

frecuencias

fre. Relativa fre. Rel acumfi/n Fi/n

0.49 0.490.36 0.850.11 0.960.01 0.97

0 0.970.01 0.980.01 0.99

0 0.990 0.99

0.01 1

Cliente No. AleatorTiempo / llegada No. Aleatorio1 0.94184621 00:00:34:50 09:00:34:50 0.64581187 00:00:24:00 2 0.61557276 00:00:14:50 09:00:49:00 0.81421118 00:00:24:003 0.48539103 00:00:05:00 09:00:54:00 0.8502991 00:00:38:00 4 0.3654891 00:00:05:00 09:00:59:00 0.32494839 00:00:09:905 0.74242224 00:00:14:50 09:01:13:50 0.26902917 00:00:09:906 0.20514942 00:00:05:00 09:01:18:50 0.94367783 00:00:38:007 0.08413174 00:00:05:00 09:01:23:50 0.23097659 00.00:09:908 0.96105245 00:00:34:50 09:01:58:00 0.87337399 00:00:38:009 0.6395128 00:00:14:50 09:02:12:50 0.85322464 00:00:38:0010 0.64539544 00:00:14:50 09:02:27:00 0.59633727 00:00:24:0011 0.56371934 00:00:05:00 09:02:32:00 0.71264432 00:00:24:0012 0.36467988 00:00:05:00 09:02:37:00 0.59452783 00:00:24:0013 0.22469699 00:00:05:00 09:02:42:00 0.88392096 00:00:38:0014 0.80851351 00:00:14:50 09:02:56:50 0.00716669 00:00:09:9015 0.65045424 00:00:14:50 09:03:11:00 0.23842838 00:00:09:9016 0.34287526 00:00:05:00 09:03:16:00 0.60295125 00:00:24:0017 0.60251778 00:00:14:50 09:03:30:50 0.23076308 00:00:09:9018 0.27585341 00:00:05:00 09:03:35:50 0.41924876 00:00:09:9019 0.37638166 00:00:05:00 09:03:40:50 0.38655495 00:00:09:9020 0.6923563 00:00:14:50 09:03:55:00 0.54651763 00:00:24:0021 0.58531909 00:00:05:00 09:04:00:00 0.6598911 00:00:24:0022 0.53745079 00:00:05:00 09:04:05:00 0.90477427 00:00:38:0023 0.42435059 00:00:05:00 09:04:10:00 0.85487618 00:00:38:0024 0.12628589 00:00:05:00 09:04:15:00 0.59489364 00:00:24:0025 0.56193417 00:00:05:00 09:04:20:00 0.76408235 00:00:24:0026 0.16115347 00:00:05:00 09:04:25:00 0.3190154 00:00:09:9027 0.0683777 00:00:05:00 09:04:30:00 0.507879 00:00:24:0028 0.83306243 00:00:24:50 09:04:54:50 0.86680236 00:00:38:0029 0.75384272 00:00:14:50 09:05:09:00 0.77613671 00:00:24:0030 0.72044026 00:00:14:50 09:05:23:50 0.8541645 00:00:38:00

Hora de llegada

Tiempo de servicio

09:00:34:50 0 09:00:58:50 00:00:00:00 00:00:24:0009:00:58:50 1 09:01:22:50 00:00:09:50 00:00:33:5009:01:22:50 2 09:02:00:50 00:00:28:50 00:01:06:5009:02:00:50 2 09:02:10:40 00:01:01:50 00:01:11:4009:02:10:40 3 09:02:20:30 00:00:56:90 00:01:06:8009:02:20:30 4 09:02:58:30 00:01:01:80 00:01:39:8009:02:58:30 7 09:03:08:20 00:01:34:80 00:01:44:7009:03:08:20 6 09:03:46:20 00:01:10:20 00:01:48:2009:03:46:20 10 09:04:24:20 00:01:30:70 00:02:08:7009:04:24:20 15 09:04:48:20 00:01:37:20 00:02:01:2009:04:48:20 16 09:05:12:20 00:01:56:20 00:02:20:2009.05:12:20 17 09:05:36:20 00:02:35:20 00:02:59:2009:05:36:20 17 09:06:14:20 00:02:54:20 00:03:32:2009:06:14:20 16 09:06:24:10 00:03:17:70 00:03:27:6009:06:24:10 15 09:06:34:00 00:03:13:10 00:03:23:0009:06:34:00 14 09:06:58:00 00:03:18:00 00:03:42:0009:06:58:00 13 09:07:07:90 00:03:27:60 00:03:37:5009:07:07:90 12 09:07:17:80 00:03:32:40 00:03:42:3009:07:17:80 11 09:07:27:70 00:03:37:30 00:03:47:2009:07:27:70 10 09:07:51:70 00:03:32:70 00:03:56:7009:07:51:70 9 09:08:15:70 00:03:51:70 00:04:15:7009:08:15:70 8 09:08:46:70 00:04:10:70 00:04:48:7009:08:46:70 7 09:09:24:70 00:04:36:70 00:05:14:7009:09:24:70 6 09:09:48:70 00:05:09:70 00:05:33:7009:09:48:70 5 09:10:12:70 00:05:48:70 00:06:12:7009:10:12:70 4 09:10:22:60 00:05:47:70 00:05:56:7009:10:22:60 3 09:10:46:60 00:05:52:60 00:06:16:6009:10:46:60 2 09:11:24:60 00:05:52:10 00:06:30:1009:11:24:60 1 09:11:48:60 00:06:15:60 00:06:39:6009:11:48:60 0 09:12:26:60 00:06:26:10 00:07:04:10

Entrada al servicio

Clientes en cola

Salida del servicio

Tiempo en cola

Tiempo en el sistema