Muestreo edades

Muestra de músicos de algunas bandas populares.
| | | | | | | | |
27 | 44 | 45 | 42 | 39 | 67 | 65 | 62 | 43 |
32 | 30 | 30 | 31 | 30 | 71 | 68 | 70 | 58 |
67 | 47 | 48 | 44 | 44 |46 | 65 | 66 | 51 |
66 | 25 | 25 | 24 | 25 | 65 | 69 | 65 | 37 |
72 | 49 | 47 | 47 | 48 | 46 | 43 | 39 | 41 |
42 | 41 | 43 | 39 | 31 | 32 | 44 | 44 | 35 |
44 | 44 | 62 | 60 | 59 | 59 | 60 | 64| 33 |
68 | 85 | 84 | 78 | 67 | 67 | 63 | 68 | 32 |
63 | 62 | 61 | 62 | 42 | 41 | 46 | 68 | 28 |
65 | 69 | 65 | 61 | 68 | 61 | 44 | 46 | 33 |

Rango | Intervalos | Amplitud |Vmax-Vmin=Rango | 6 | C=RangoNo.de Intervalos |
85-24=61 | 6 | C=616=10.166 |

Intervalo | Intervalo de Clase | Marca de Clase | Frecuencia |
1 | 23.999 – 34.165 | 29.082 | 16 |
2 | 34.165 – 44.131| 39.248 | 22 |
3 | 44.131 – 54.497 | 49.414 | 12 |
4 | 54.497 – 64.663 | 59.580 | 15 |
5 | 64.663 – 74.829 | 69.746 | 22 |
6 | 74.829 – 85.001 | 79.915 | 3 |

Frecuencia Relativa |Frecuencia Relativa Acumulada |
0.211 | 0.211 |
0.244 | 0.455 |
0.133 | 0.588 |
0.166 | 0.754 |
0.244 | 0.998 |
0.033 | 1.031 |

t | | f | t×f | t-x | t-x2 | t-x2×f |
29.089 | | 16 |465.312 | -35.019 | 1,226.330 | 19,621.280 |
39.348 | | 22 | 865.656 | -29.019 | 842.102 | 18,526.244 |
49.414 | | 12 | 592.968 | -39.019 | 1,522.482 | 18,269.784 |
59.580 | | 15| 893.700 | -36.019 | 1,297.368 | 19,460.520 |
69.746 | | 22 | 1,534.412 | -29.019 | 842.102 | 18,526.244 |
79.915 | | 3 | 239.745 | -48.019 | 2,305.824 | 6,917.472 |

Donde:x= t×fn = x= 4591.79390= x=51.019

Moda | | Mediana |
mo=L1+Cd1d1+d2 | | me=L1+C902-f1fm |
mo=34.165+10.166616 | | me=44.331+10.16645-3812 |
mo=34.165+10.1660.375 | |me=44.331+10.1660.583 |
mo=34.165+3.812 | | me=44.331+5.926 |
mo=37.977 | | me=50.257 |

Desviación Estándar | | Coeficiente de Variación |
σ=t-x2×fn | | CV=σx |
σ=101321.54490 | |...