Estadística
Estadística descriptiva
Se nos dan 50 cantidades de las horas que las personas usan Internet a la semana y se pide elaborar la tabla de distribución de frecuencias:
| 15 | 20 | 30 | 8 | 16 | 2 | 19 | 30 | 8 | 52 |
| 77 | 100 | 15 | 17 | 43 | 98 | 54 | 32 | 24 | 49 |
| 76 | 87 | 62 | 13 | 85 | 6 | 14 | 25 | 33 | 20 |
| 37 | 110 | 104 | 27 | 5 | 34 | 61 | 89 | 95 | 12 |
| 3 | 68 | 81 | 74 | 26 | 11 | 39 | 41 | 62 | 99 |
Paso #1 Rango
Dato mayor - dato menor 110-2= 108
Paso #2 Número de intervalos
= 10 intervalos
Paso #3 Ancho de intervalo
= =10.8 11
Int.
1-11
12-22
23-33
34-44
45-55
56-66
67-77
78-88
89-99
100-110
| Int. | F | Fr | Fa | Far | L. Inferior | L. Superior | MK (x) | F*MK | /(MK-)/ | F*/(MK-)/ | /(MK-)²/ | F*/(MK-)²/ |
| 1 11 | 7 | 14% | 7 | 14% | 0.5 | 11.5 | 6 | 42 | 37.62 | 263.34 | 1415.2644 | 9906.8508 |
| 12 22 | 10 | 20% | 17 | 34% | 11.5 | 22.5 | 17 | 170 | 26.62 | 266.2 | 708.6244 | 7086.244 |
| 23-33 | 9 | 18% | 26 | 52% | 22.5 | 33.5 | 28 | 252 | 15.62 | 140.58 | 243.9844 | 2195.8596 |
| 34-44 | 4 | 8% | 30 | 60% | 33.5 | 44.5 | 39 | 156 | 4.62 | 18.48 | 21.3444 | 85.3776 |
| 45-55 | 3 | 6% | 33 | 66% | 44.5 | 55.5 | 50 | 150 | 6.38 | 19.14 | 40.7044 | 122.1132 |
| 56-66 | 3 | 6% | 36 | 72% | 55.5 | 66.5 | 61 | 183 | 17.38 | 52.14 | 302.0644 | 906.1932 |
| 67-77 | 4 | 8% | 40 | 80% | 66.5 | 77.5 | 72 | 288 | 28.38 | 113.52 | 805.4244 | 3221.6976 |
| 78-88 | 3 | 6% | 43 | 86% | 77.5 | 88.5 | 83 | 249 | 39.38 | 118.14 | 1550.7844 | 4652.3532 |
| 89-99 | 4 | 8% | 47 | 94% | 88.5 | 99.5 | 94 | 376 | 50.38 | 201.52 | 2538.1444 | 10152.5776 |
| 100-110 | 3 | 6% | 50 | 100% | 99.5 | 110.5 | 105 | 315 | 61.38 | 184.14 | 3767.5044 | 11302.5132 |
| 50 | 2181 | 1377.2 | 49631.78 |
| (1/x) | F*(1/x) | logx | F*(logx) |
| 0.1666 | 1.662 | 0.7781 | 5.4467 |
| 0.0588 | 0.5882 | 1.2304 | 12.304 |
| 0.0357 | 0.3214 | 1.4471 | 13.0239 |
| 0.0256 | 0.1025 | 1.591 | 6.3642 |
| 0.02 | 0.06 | 1.6989 | 5.0969 |
| 0.0163 | 0.0491 | 1.7853 | 5.3559 |
| 0.0138 | 0.0555 | 1.8573 | 7.4293 |
| 0.012 | 0.0361 | 1.919 | 5.757 |
| 0.0106 | 0.0425 | 1.9731 | 7.8925 |
| 0.0095 | 0.0285 | 2.0211 | 6.0635 |
| 2.9458 | 74.7339 |
A partir de los datos de la tabla anterior, elabora el Histograma y el polígono de frecuencias, y el polígono de frecuencias acumuladas (Ojiva).
A partir de los datos de la tabla, calcula la media aritmética, mediana, moda, media armónica, media geométrica, cuantil 1, decil 1 y percentil 1.
= = = 43.62
Mediana = Li +C = 22.5 + 11
= 32.2777
Moda = Li + C = 11.25 + 11 = 16.3125
MH = = = 18.1831
MG = Antilog = Antilog = Antilog 1.4946 = 31.2376
Cuantiles
Cuartil Q1 = Li + C = 11.5 + 11
= 17.55
Decil D1 = Li + C = 0.5 + 11 = 8.3571
Percentil P1 = Li + C = 0.5 + 11
= 1.2857
A partir de los datos de la tabla, calcula el rango, la desviación media, la desviación típica o estándar y la varianza
Rango = Dato mayor-Dato menor = 110-2= 108
DM = = = 27.544
S = = = 31.5061
Var = = (31.5061)2 = 992.6343
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| Enviado por: | Alissar Sleiman Abou Kassam |
| Idioma: | castellano |
| País: | México |
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