Ejerccicio De Informe Estadistico

Actividad de aprendizaje 2:
Los siguientes datos son tomados de la cantidad de menores de defectos presentados en la fabricación de un producto en 270 días, realizar la tabla de distribución de frecuencias:

10 | 27 | 456 | 300 | 1000 | 876 | 43 | 1111 | 65 |
23 | 356 | 678 | 333 | 33 | 456 | 432 | 234 | 76 |
100 | 555 | 432 | 434 | 45 | 654 | 444 | 1132 | 98 |
10 | 321 | 23 | 456 |66 | 345 | 543 | 234 | 123 |
987 | 34 | 45 | 433 | 76 | 987 | 65 | 234 | 56 |
10 | 27 | 65 | 345 | 34 | 986 | 432 | 55 | 76 |
66 | 27 | 55 | 555 | 1000 | 45 | 654 | 789 | 567 |
10 | 27 | 789 | 666 | 56 | 56 | 345 | 345 | 543 |
10 | 678 | 345 | 231 | 345 | 54 | 432 | 321 | 456 |
87 | 765 | 321 | 345 | 25 | 76 | 345 | 23 | 555 |
10 | 34 | 23 | 321 | 25 | 34 | 543 | 43 | 678 |
10 | 56| 43 | 444 | 25 | 54 | 234 | 44 | 543 |
10 | 34 | 43 | 222 | 43 | 32 | 333 | 56 | 345 |
10 | 454 | 345 | 444 | 25 | 34 | 432 | 56 | 76 |
56 | 656 | 345 | 666 | 65 | 54 | 234 | 76 | 8 |
10 | 876 | 56 | 567 | 54 | 54 | 543 | 76 | 65 |
25 | 234 | 76 | 333 | 76 | 34 | 345 | 8 | 45 |
345 | 123 | 567 | 765 | 1000 | 65 | 1900 | 65 | 56 |
25 | 345 | 543 | 654 | 44 | 34 | 233 | 45 | 12 |25 | 234 | 456 | 345 | 56 | 54 | 233 | 56 | 34 |
25 | 432 | 555 | 222 | 56 | 43 | 333 | 12 | 43 |
43 | 456 | 678 | 456 | 76 | 23 | 456 | 12 | 34 |
25 | 654 | 543 | 222 | 76 | 43 | 233 | 43 | 44 |
45 | 222 | 345 | 567 | 543 | 54 | 234 | 44 | 543 |
65 | 456 | 321 | 222 | 456 | 56 | 123 | 54 | 444 |
25 | 555 | 345 | 456 | 555 | 22 | 345 | 23 | 456 |
123 | 456 | 654 | 345 | 678 | 45 | 223| 34 | 234 |
25 | 22 | 33 | 456 | 543 | 1000 | 321 | 34 | 23 |
22 | 43 | 45 | 65 | 345 | 23 | 23 | 43 | 43 |
65 | 55 | 44 | 22 | 76 | 34 | 123 | 34 | 43 |

a)Realizar la tabla de distribución de frecuencias para datos agrupados, teniendo un tamaño de 99.

b)Halle las medidas de tendencia central y medidas de dispersión para datos agrupados de los datos suministrados.

R- dato menor8----------------dato mayor 1900

defectos | f. absoluta | f. relativa | f.acumulada | f. relativaacumulada | % | X | F.X |
8-106 | 138 | 0.511 | 138 | 0.511 | 51.1 | 57 | 7866 |
107-205 | 5 | 0.018 | 143 | 0.529 | 1.8 | 156 | 780 |
206-304 | 20 | 0.074 | 163 | 0.603 | 7.4 | 255 | 5100 |
305-403 | 31 |0.114 | 194 | 0.717 | 11.4 | 354 | 10974 |
404-502 | 27 | 0.1 | 221 | 0.817 | 10 | 453 | 12231 |
503-601 | 20 | 0.074 | 241 | 0.891 | 7.4 | 552 | 11040 |
602-700 | 13 | 0.048 | 254 | 0.939 | 4.8 | 651 | 8463 |
701-799 | 4 | 0.014 | 258 | 0.953 | 1.4 | 750 | 3000 |
800-898 | 2 | 0.007 | 260 | 0.96 | 0.7 | 849 | 1698 |
899-997 | 3 | 0.011 | 263 | 0.971 | 1.1 | 948 | 2844 |
998-1096 |4 | 0.014 | 267 | 0.985 | 1.4 | 1047 | 4188 |
1097-1195 | 2 | 0.007 | 269 | 0.992 | 0.7 | 1146 | 2292 |
1196-1294 | 0 | 0 | 269 | 0.992 | 0 | 1245 | 0 |
1295-1393 | 0 | 0 | 269 | 0.992 | 0 | 1344 | 0 |
1394-1492 | 0 | 0 | 269 | 0.992 | 0 | 1443 | 0 |
1493-1591 | 0 | 0 | 269 | 0.992 | 0 | 1542 | 0 |
1592-1690 | 0 | 0 | 269 | 0.992 | 0 | 1641 | 0 |
1691-1789 | 0 | 0 | 269 | 0.992 | 0 |1740 | 0 |
1790-1888 | 0 | 0 | 269 | 0.992 | 0 | 1839 | 0 |
1889-1987 | 1 | 0.003 | 270 | 0.995 | 0.3 | 1938 | 1938 |
270 0.995 72414

Moda Md=57
Media;_ _
X= 72414 X= 268.2
270

Mediana: 270=135, f=5, L=8, C=99, J=135
2
X= 8+135x99 X=104.84
138
Deviación media=59941.2 = DM=222.004
270

Varianza= S2= ∑(x-x)2 = 20633065 = S2 =76702.84
n-1 269

Desviación típica = S=√∑(x-x)2 = √76702.84 = S=276.95
n-1
Ix-xI | f.Ix-xI | (x-x)2 | f.(x-x)2 | Ix-xI | f.Ix-xI | X2 . f | X3 . f |
211.2 |...