Datos agrupados
Juan Salcido
20/2/2020
# Generacion de conjunto de datos
datos <- sample(70:100, 1000, replace = TRUE)
datos## [1] 82 89 95 77 98 77 72 89 81 77 88 89 93 84 92 93 95 76
## [19] 91 83 77 85 94 80 80 96 70 74 80 70 71 74 70 76 89 82
## [37] 89 75 85 80 77 83 99 86 84 83 88 94 73 84 81 88 76 71
## [55] 83 86 97 100 78 91 95 89 73 86 88 91 71 92 88 83 74 95
## [73] 74 73 74 81 72 89 91 83 97 94 71 80 99 74 80 96 96 84
## [91] 77 89 85 83 96 89 86 74 93 76 94 83 78 90 98 90 73 94
## [109] 72 79 73 70 99 74 78 74 78 98 93 83 86 87 78 75 80 88
## [127] 96 93 83 86 91 91 92 94 86 93 95 86 92 81 87 89 80 100
## [145] 100 93 94 79 91 78 95 72 75 70 100 71 89 74 83 79 79 91
## [163] 78 77 86 95 91 85 79 77 85 75 73 87 70 92 83 96 83 94
## [181] 96 73 76 86 75 73 82 100 83 90 71 93 84 74 98 72 75 70
## [199] 96 84 91 99 75 83 73 94 87 93 83 94 91 74 80 86 91 83
## [217] 90 77 84 97 73 86 86 82 88 90 89 81 73 77 88 82 84 74
## [235] 71 88 98 95 89 76 90 83 93 85 99 72 79 77 74 82 82 75
## [253] 79 97 98 78 81 92 72 83 90 93 81 91 79 76 81 89 89 80
## [271] 70 79 77 87 71 88 89 83 99 96 88 96 94 88 82 74 95 78
## [289] 98 82 72 81 95 88 90 82 93 98 97 95 96 74 81 87 95 72
## [307] 81 77 89 92 87 93 84 70 87 93 78 86 82 98 83 74 95 79
## [325] 84 98 76 82 74 97 88 86 84 88 92 85 80 98 94 78 89 84
## [343] 79 82 78 76 83 97 99 99 78 72 90 75 74 70 70 74 86 97
## [361] 73 73 81 76 70 99 80 72 91 89 91 72 76 94 70 84 82 73
## [379] 97 81 85 76 95 84 83 73 86 100 72 76 74 93 79 79 79 74
## [397] 95 93 93 80 84 82 73 94 87 71 97 87 74 92 79 80 77 85
## [415] 80 93 70 90 79 99 78 93 89 84 80 78 83 90 87 87 70 73
## [433] 100 80 100 79 93 84 85 86 79 87 77 84 70 91 93 98 89 85
## [451] 100 89 98 74 83 92 97 82 88 94 81 81 97 81 96 72 96 83
## [469] 77 89 72 88 99 70 77 70 89 92 94 81 92 71 94 86 92 98
## [487] 100 75 71 79 80 78 76 96 93 74 76 73 95 90 92 100 98 94
## [505] 90 96 76 87 100 85 70 93 84 91 79 75 72 73 70 96 96 88
## [523] 96 71 92 96 72 77 70 88 83 83 79 81 81 96 78 84 88 100
## [541] 98 73 95 82 84 74 81 89 95 84 74 79 100 93 88 87 88 75
## [559] 79 77 97 95 90 100 93 86 86 70 79 87 79 75 97 79 85 89
## [577] 70 97 73 70 94 92 98 92 97 73 94 95 92 70 90 99 90 73
## [595] 91 73 82 98 90 80 87 82 88 95 81 80 93 77 78 77 81 91
## [613] 70 83 92 84 97 75 91 100 75 94 75 72 99 93 75 88 99 84
## [631] 88 81 87 83 81 90 90 78 86 73 92 81 81 95 74 97 93 99
## [649] 86 100 87 79 99 100 74 81 92 78 99 89 76 90 98 78 72 98
## [667] 81 100 97 98 87 91 94 75 91 94 93 82 72 94 74 87 91 99
## [685] 74 82 71 72 95 95 72 79 86 88 80 86 78 93 96 78 73 72
## [703] 77 86 73 91 83 81 94 88 71 93 72 99 91 97 71 79 99 86
## [721] 85 95 92 79 75 76 72 79 73 74 94 81 95 86 73 78 96 81
## [739] 100 93 80 75 94 93 70 79 73 93 79 79 75 92 92 72 76 79
## [757] 90 94 71 76 70 92 85 88 71 95 90 82 83 72 84 99 75 77
## [775] 75 72 98 73 84 88 95 82 81 79 89 78 91 95 80 83 89 73
## [793] 95 70 91 81 71 88 87 87 80 94 92 82 78 89 89 99 92 75
## [811] 100 73 87 71 99 76 97 100 82 75 93 100 80 90 81 78 90 81
## [829] 82 76 99 79 83 97 77 93 91 89 89 75 88 91 72 84 79 95
## [847] 95 86 79 94 87 94 70 87 81 86 90 77 85 78 89 76 84 76
## [865] 87 85 90 74 89 87 99 97 83 71 81 74 96 76 73 72 93 89
## [883] 71 87 85 84 87 83 80 93 85 76 74 82 80 82 72 90 96 83
## [901] 92 86 84 90 86 94 99 98 96 87 92 80 88 70 81 79 89 76
## [919] 97 86 75 95 71 77 70 91 75 82 84 81 88 96 72 90 84 73
## [937] 70 86 76 89 70 79 81 76 88 74 72 100 88 98 72 87 75 73
## [955] 75 95 77 91 90 78 77 72 99 75 73 80 93 98 100 98 94 95
## [973] 75 99 76 86 94 74 91 80 76 100 90 94 99 78 96 80 83 91
## [991] 79 87 89 96 95 81 82 72 89 85Ordenar datos y mostrar
# En esta parte se ordena el conjunto de datos y se muestran
datosord <- sort(datos)
datosord## [1] 70 70 70 70 70 70 70 70 70 70 70 70 70 70 70 70 70 70
## [19] 70 70 70 70 70 70 70 70 70 70 70 70 70 70 70 70 71 71
## [37] 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71
## [55] 71 71 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72
## [73] 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72 72
## [91] 72 72 73 73 73 73 73 73 73 73 73 73 73 73 73 73 73 73
## [109] 73 73 73 73 73 73 73 73 73 73 73 73 73 73 73 73 73 73
## [127] 73 73 73 74 74 74 74 74 74 74 74 74 74 74 74 74 74 74
## [145] 74 74 74 74 74 74 74 74 74 74 74 74 74 74 74 74 74 74
## [163] 74 74 74 74 75 75 75 75 75 75 75 75 75 75 75 75 75 75
## [181] 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75 75
## [199] 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76
## [217] 76 76 76 76 76 76 76 76 76 76 76 76 76 77 77 77 77 77
## [235] 77 77 77 77 77 77 77 77 77 77 77 77 77 77 77 77 77 77
## [253] 77 77 77 77 77 78 78 78 78 78 78 78 78 78 78 78 78 78
## [271] 78 78 78 78 78 78 78 78 78 78 78 78 78 78 78 78 78 79
## [289] 79 79 79 79 79 79 79 79 79 79 79 79 79 79 79 79 79 79
## [307] 79 79 79 79 79 79 79 79 79 79 79 79 79 79 79 79 79 79
## [325] 79 79 79 79 79 80 80 80 80 80 80 80 80 80 80 80 80 80
## [343] 80 80 80 80 80 80 80 80 80 80 80 80 80 80 80 80 80 80
## [361] 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81
## [379] 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81
## [397] 81 81 81 81 81 82 82 82 82 82 82 82 82 82 82 82 82 82
## [415] 82 82 82 82 82 82 82 82 82 82 82 82 82 82 82 82 82 83
## [433] 83 83 83 83 83 83 83 83 83 83 83 83 83 83 83 83 83 83
## [451] 83 83 83 83 83 83 83 83 83 83 83 83 83 83 83 83 83 83
## [469] 83 84 84 84 84 84 84 84 84 84 84 84 84 84 84 84 84 84
## [487] 84 84 84 84 84 84 84 84 84 84 84 84 84 84 84 85 85 85
## [505] 85 85 85 85 85 85 85 85 85 85 85 85 85 85 85 85 85 86
## [523] 86 86 86 86 86 86 86 86 86 86 86 86 86 86 86 86 86 86
## [541] 86 86 86 86 86 86 86 86 86 86 86 86 86 86 86 86 87 87
## [559] 87 87 87 87 87 87 87 87 87 87 87 87 87 87 87 87 87 87
## [577] 87 87 87 87 87 87 87 87 87 87 87 87 87 88 88 88 88 88
## [595] 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88
## [613] 88 88 88 88 88 88 88 88 88 88 88 88 89 89 89 89 89 89
## [631] 89 89 89 89 89 89 89 89 89 89 89 89 89 89 89 89 89 89
## [649] 89 89 89 89 89 89 89 89 89 89 89 89 89 89 89 89 90 90
## [667] 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90
## [685] 90 90 90 90 90 90 90 90 90 90 90 91 91 91 91 91 91 91
## [703] 91 91 91 91 91 91 91 91 91 91 91 91 91 91 91 91 91 91
## [721] 91 91 91 91 91 91 91 91 92 92 92 92 92 92 92 92 92 92
## [739] 92 92 92 92 92 92 92 92 92 92 92 92 92 92 92 92 92 92
## [757] 92 93 93 93 93 93 93 93 93 93 93 93 93 93 93 93 93 93
## [775] 93 93 93 93 93 93 93 93 93 93 93 93 93 93 93 93 93 93
## [793] 93 93 93 93 94 94 94 94 94 94 94 94 94 94 94 94 94 94
## [811] 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94
## [829] 94 94 94 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95
## [847] 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95
## [865] 95 95 95 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96
## [883] 96 96 96 96 96 96 96 96 96 96 96 96 96 97 97 97 97 97
## [901] 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97
## [919] 97 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98
## [937] 98 98 98 98 98 98 98 98 98 99 99 99 99 99 99 99 99 99
## [955] 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99
## [973] 99 99 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100
## [991] 100 100 100 100 100 100 100 100 100 100Encontrar número de elementos n, valores minimos y maximos, rango y amplitud del rango de la muestra
# Numero de elementos
n <- length(datos)
n## [1] 1000# Valores máximos y mínimos
max(datos)## [1] 100min(datos)## [1] 70# rango
rango <- range(datos)
rango## [1] 70 100#Amplitud del rango
amplitud <- max(datos) - min(datos)
amplitud## [1] 30Determinar número de intérvalos igual a 5
#Determinar numero de intervalos y su rango
nointervalos <- 5
rangointervalos <- amplitud / nointervalos
rangointervalos## [1] 6Identificar rango de cada intérvalo mediante: VALOR MINIMO / INTERVALOS
print(paste("Los valores de cada grupos van ..."," de ", rangointervalos, " en ", rangointervalos, " a partir de :", min(datos)))## [1] "Los valores de cada grupos van ... de 6 en 6 a partir de : 70"Mostrar tabla de frecuencia de datos agrupados
#Tabla de Intervalos
#Aqui se forma una tabla de intervalos a partir de los datos de la muestra
tabladeintervalos <- transform(table(cut(datos, breaks = 5)))
tabladeintervalos## Var1 Freq
## 1 (70,76] 229
## 2 (76,82] 202
## 3 (82,88] 193
## 4 (88,94] 207
## 5 (94,100] 169Visualizar la tabla de frecuencia
#Visualizar datos
#En esta seccion se visualizan los datos de la tabla de los intervalos
plot(tabladeintervalos, main="¿Que intervalo es el mas utilizado?")
#### ¿De manera mantemática sugiere los intérvalos y las amplitudes de cada intervalo ¿Cuáles intérvalos genera? ¿cual es la amplitud de cada intérvalo?
#Se aplica la formula de Sturges para trabajar con los intervalos
1 + 3.3222* (log10(n))## [1] 10.9666#Se declaran los numeros de intervalos
nointervalos <- nclass.Sturges(datos)
nointervalos## [1] 11#Aqui se dividen los datos en intervalos
cut(datos, breaks = nointervalos)## [1] (80.9,83.6] (86.4,89.1] (94.5,97.3] (75.5,78.2] (97.3,100] (75.5,78.2]
## [7] (70,72.7] (86.4,89.1] (80.9,83.6] (75.5,78.2] (86.4,89.1] (86.4,89.1]
## [13] (91.8,94.5] (83.6,86.4] (91.8,94.5] (91.8,94.5] (94.5,97.3] (75.5,78.2]
## [19] (89.1,91.8] (80.9,83.6] (75.5,78.2] (83.6,86.4] (91.8,94.5] (78.2,80.9]
## [25] (78.2,80.9] (94.5,97.3] (70,72.7] (72.7,75.5] (78.2,80.9] (70,72.7]
## [31] (70,72.7] (72.7,75.5] (70,72.7] (75.5,78.2] (86.4,89.1] (80.9,83.6]
## [37] (86.4,89.1] (72.7,75.5] (83.6,86.4] (78.2,80.9] (75.5,78.2] (80.9,83.6]
## [43] (97.3,100] (83.6,86.4] (83.6,86.4] (80.9,83.6] (86.4,89.1] (91.8,94.5]
## [49] (72.7,75.5] (83.6,86.4] (80.9,83.6] (86.4,89.1] (75.5,78.2] (70,72.7]
## [55] (80.9,83.6] (83.6,86.4] (94.5,97.3] (97.3,100] (75.5,78.2] (89.1,91.8]
## [61] (94.5,97.3] (86.4,89.1] (72.7,75.5] (83.6,86.4] (86.4,89.1] (89.1,91.8]
## [67] (70,72.7] (91.8,94.5] (86.4,89.1] (80.9,83.6] (72.7,75.5] (94.5,97.3]
## [73] (72.7,75.5] (72.7,75.5] (72.7,75.5] (80.9,83.6] (70,72.7] (86.4,89.1]
## [79] (89.1,91.8] (80.9,83.6] (94.5,97.3] (91.8,94.5] (70,72.7] (78.2,80.9]
## [85] (97.3,100] (72.7,75.5] (78.2,80.9] (94.5,97.3] (94.5,97.3] (83.6,86.4]
## [91] (75.5,78.2] (86.4,89.1] (83.6,86.4] (80.9,83.6] (94.5,97.3] (86.4,89.1]
## [97] (83.6,86.4] (72.7,75.5] (91.8,94.5] (75.5,78.2] (91.8,94.5] (80.9,83.6]
## [103] (75.5,78.2] (89.1,91.8] (97.3,100] (89.1,91.8] (72.7,75.5] (91.8,94.5]
## [109] (70,72.7] (78.2,80.9] (72.7,75.5] (70,72.7] (97.3,100] (72.7,75.5]
## [115] (75.5,78.2] (72.7,75.5] (75.5,78.2] (97.3,100] (91.8,94.5] (80.9,83.6]
## [121] (83.6,86.4] (86.4,89.1] (75.5,78.2] (72.7,75.5] (78.2,80.9] (86.4,89.1]
## [127] (94.5,97.3] (91.8,94.5] (80.9,83.6] (83.6,86.4] (89.1,91.8] (89.1,91.8]
## [133] (91.8,94.5] (91.8,94.5] (83.6,86.4] (91.8,94.5] (94.5,97.3] (83.6,86.4]
## [139] (91.8,94.5] (80.9,83.6] (86.4,89.1] (86.4,89.1] (78.2,80.9] (97.3,100]
## [145] (97.3,100] (91.8,94.5] (91.8,94.5] (78.2,80.9] (89.1,91.8] (75.5,78.2]
## [151] (94.5,97.3] (70,72.7] (72.7,75.5] (70,72.7] (97.3,100] (70,72.7]
## [157] (86.4,89.1] (72.7,75.5] (80.9,83.6] (78.2,80.9] (78.2,80.9] (89.1,91.8]
## [163] (75.5,78.2] (75.5,78.2] (83.6,86.4] (94.5,97.3] (89.1,91.8] (83.6,86.4]
## [169] (78.2,80.9] (75.5,78.2] (83.6,86.4] (72.7,75.5] (72.7,75.5] (86.4,89.1]
## [175] (70,72.7] (91.8,94.5] (80.9,83.6] (94.5,97.3] (80.9,83.6] (91.8,94.5]
## [181] (94.5,97.3] (72.7,75.5] (75.5,78.2] (83.6,86.4] (72.7,75.5] (72.7,75.5]
## [187] (80.9,83.6] (97.3,100] (80.9,83.6] (89.1,91.8] (70,72.7] (91.8,94.5]
## [193] (83.6,86.4] (72.7,75.5] (97.3,100] (70,72.7] (72.7,75.5] (70,72.7]
## [199] (94.5,97.3] (83.6,86.4] (89.1,91.8] (97.3,100] (72.7,75.5] (80.9,83.6]
## [205] (72.7,75.5] (91.8,94.5] (86.4,89.1] (91.8,94.5] (80.9,83.6] (91.8,94.5]
## [211] (89.1,91.8] (72.7,75.5] (78.2,80.9] (83.6,86.4] (89.1,91.8] (80.9,83.6]
## [217] (89.1,91.8] (75.5,78.2] (83.6,86.4] (94.5,97.3] (72.7,75.5] (83.6,86.4]
## [223] (83.6,86.4] (80.9,83.6] (86.4,89.1] (89.1,91.8] (86.4,89.1] (80.9,83.6]
## [229] (72.7,75.5] (75.5,78.2] (86.4,89.1] (80.9,83.6] (83.6,86.4] (72.7,75.5]
## [235] (70,72.7] (86.4,89.1] (97.3,100] (94.5,97.3] (86.4,89.1] (75.5,78.2]
## [241] (89.1,91.8] (80.9,83.6] (91.8,94.5] (83.6,86.4] (97.3,100] (70,72.7]
## [247] (78.2,80.9] (75.5,78.2] (72.7,75.5] (80.9,83.6] (80.9,83.6] (72.7,75.5]
## [253] (78.2,80.9] (94.5,97.3] (97.3,100] (75.5,78.2] (80.9,83.6] (91.8,94.5]
## [259] (70,72.7] (80.9,83.6] (89.1,91.8] (91.8,94.5] (80.9,83.6] (89.1,91.8]
## [265] (78.2,80.9] (75.5,78.2] (80.9,83.6] (86.4,89.1] (86.4,89.1] (78.2,80.9]
## [271] (70,72.7] (78.2,80.9] (75.5,78.2] (86.4,89.1] (70,72.7] (86.4,89.1]
## [277] (86.4,89.1] (80.9,83.6] (97.3,100] (94.5,97.3] (86.4,89.1] (94.5,97.3]
## [283] (91.8,94.5] (86.4,89.1] (80.9,83.6] (72.7,75.5] (94.5,97.3] (75.5,78.2]
## [289] (97.3,100] (80.9,83.6] (70,72.7] (80.9,83.6] (94.5,97.3] (86.4,89.1]
## [295] (89.1,91.8] (80.9,83.6] (91.8,94.5] (97.3,100] (94.5,97.3] (94.5,97.3]
## [301] (94.5,97.3] (72.7,75.5] (80.9,83.6] (86.4,89.1] (94.5,97.3] (70,72.7]
## [307] (80.9,83.6] (75.5,78.2] (86.4,89.1] (91.8,94.5] (86.4,89.1] (91.8,94.5]
## [313] (83.6,86.4] (70,72.7] (86.4,89.1] (91.8,94.5] (75.5,78.2] (83.6,86.4]
## [319] (80.9,83.6] (97.3,100] (80.9,83.6] (72.7,75.5] (94.5,97.3] (78.2,80.9]
## [325] (83.6,86.4] (97.3,100] (75.5,78.2] (80.9,83.6] (72.7,75.5] (94.5,97.3]
## [331] (86.4,89.1] (83.6,86.4] (83.6,86.4] (86.4,89.1] (91.8,94.5] (83.6,86.4]
## [337] (78.2,80.9] (97.3,100] (91.8,94.5] (75.5,78.2] (86.4,89.1] (83.6,86.4]
## [343] (78.2,80.9] (80.9,83.6] (75.5,78.2] (75.5,78.2] (80.9,83.6] (94.5,97.3]
## [349] (97.3,100] (97.3,100] (75.5,78.2] (70,72.7] (89.1,91.8] (72.7,75.5]
## [355] (72.7,75.5] (70,72.7] (70,72.7] (72.7,75.5] (83.6,86.4] (94.5,97.3]
## [361] (72.7,75.5] (72.7,75.5] (80.9,83.6] (75.5,78.2] (70,72.7] (97.3,100]
## [367] (78.2,80.9] (70,72.7] (89.1,91.8] (86.4,89.1] (89.1,91.8] (70,72.7]
## [373] (75.5,78.2] (91.8,94.5] (70,72.7] (83.6,86.4] (80.9,83.6] (72.7,75.5]
## [379] (94.5,97.3] (80.9,83.6] (83.6,86.4] (75.5,78.2] (94.5,97.3] (83.6,86.4]
## [385] (80.9,83.6] (72.7,75.5] (83.6,86.4] (97.3,100] (70,72.7] (75.5,78.2]
## [391] (72.7,75.5] (91.8,94.5] (78.2,80.9] (78.2,80.9] (78.2,80.9] (72.7,75.5]
## [397] (94.5,97.3] (91.8,94.5] (91.8,94.5] (78.2,80.9] (83.6,86.4] (80.9,83.6]
## [403] (72.7,75.5] (91.8,94.5] (86.4,89.1] (70,72.7] (94.5,97.3] (86.4,89.1]
## [409] (72.7,75.5] (91.8,94.5] (78.2,80.9] (78.2,80.9] (75.5,78.2] (83.6,86.4]
## [415] (78.2,80.9] (91.8,94.5] (70,72.7] (89.1,91.8] (78.2,80.9] (97.3,100]
## [421] (75.5,78.2] (91.8,94.5] (86.4,89.1] (83.6,86.4] (78.2,80.9] (75.5,78.2]
## [427] (80.9,83.6] (89.1,91.8] (86.4,89.1] (86.4,89.1] (70,72.7] (72.7,75.5]
## [433] (97.3,100] (78.2,80.9] (97.3,100] (78.2,80.9] (91.8,94.5] (83.6,86.4]
## [439] (83.6,86.4] (83.6,86.4] (78.2,80.9] (86.4,89.1] (75.5,78.2] (83.6,86.4]
## [445] (70,72.7] (89.1,91.8] (91.8,94.5] (97.3,100] (86.4,89.1] (83.6,86.4]
## [451] (97.3,100] (86.4,89.1] (97.3,100] (72.7,75.5] (80.9,83.6] (91.8,94.5]
## [457] (94.5,97.3] (80.9,83.6] (86.4,89.1] (91.8,94.5] (80.9,83.6] (80.9,83.6]
## [463] (94.5,97.3] (80.9,83.6] (94.5,97.3] (70,72.7] (94.5,97.3] (80.9,83.6]
## [469] (75.5,78.2] (86.4,89.1] (70,72.7] (86.4,89.1] (97.3,100] (70,72.7]
## [475] (75.5,78.2] (70,72.7] (86.4,89.1] (91.8,94.5] (91.8,94.5] (80.9,83.6]
## [481] (91.8,94.5] (70,72.7] (91.8,94.5] (83.6,86.4] (91.8,94.5] (97.3,100]
## [487] (97.3,100] (72.7,75.5] (70,72.7] (78.2,80.9] (78.2,80.9] (75.5,78.2]
## [493] (75.5,78.2] (94.5,97.3] (91.8,94.5] (72.7,75.5] (75.5,78.2] (72.7,75.5]
## [499] (94.5,97.3] (89.1,91.8] (91.8,94.5] (97.3,100] (97.3,100] (91.8,94.5]
## [505] (89.1,91.8] (94.5,97.3] (75.5,78.2] (86.4,89.1] (97.3,100] (83.6,86.4]
## [511] (70,72.7] (91.8,94.5] (83.6,86.4] (89.1,91.8] (78.2,80.9] (72.7,75.5]
## [517] (70,72.7] (72.7,75.5] (70,72.7] (94.5,97.3] (94.5,97.3] (86.4,89.1]
## [523] (94.5,97.3] (70,72.7] (91.8,94.5] (94.5,97.3] (70,72.7] (75.5,78.2]
## [529] (70,72.7] (86.4,89.1] (80.9,83.6] (80.9,83.6] (78.2,80.9] (80.9,83.6]
## [535] (80.9,83.6] (94.5,97.3] (75.5,78.2] (83.6,86.4] (86.4,89.1] (97.3,100]
## [541] (97.3,100] (72.7,75.5] (94.5,97.3] (80.9,83.6] (83.6,86.4] (72.7,75.5]
## [547] (80.9,83.6] (86.4,89.1] (94.5,97.3] (83.6,86.4] (72.7,75.5] (78.2,80.9]
## [553] (97.3,100] (91.8,94.5] (86.4,89.1] (86.4,89.1] (86.4,89.1] (72.7,75.5]
## [559] (78.2,80.9] (75.5,78.2] (94.5,97.3] (94.5,97.3] (89.1,91.8] (97.3,100]
## [565] (91.8,94.5] (83.6,86.4] (83.6,86.4] (70,72.7] (78.2,80.9] (86.4,89.1]
## [571] (78.2,80.9] (72.7,75.5] (94.5,97.3] (78.2,80.9] (83.6,86.4] (86.4,89.1]
## [577] (70,72.7] (94.5,97.3] (72.7,75.5] (70,72.7] (91.8,94.5] (91.8,94.5]
## [583] (97.3,100] (91.8,94.5] (94.5,97.3] (72.7,75.5] (91.8,94.5] (94.5,97.3]
## [589] (91.8,94.5] (70,72.7] (89.1,91.8] (97.3,100] (89.1,91.8] (72.7,75.5]
## [595] (89.1,91.8] (72.7,75.5] (80.9,83.6] (97.3,100] (89.1,91.8] (78.2,80.9]
## [601] (86.4,89.1] (80.9,83.6] (86.4,89.1] (94.5,97.3] (80.9,83.6] (78.2,80.9]
## [607] (91.8,94.5] (75.5,78.2] (75.5,78.2] (75.5,78.2] (80.9,83.6] (89.1,91.8]
## [613] (70,72.7] (80.9,83.6] (91.8,94.5] (83.6,86.4] (94.5,97.3] (72.7,75.5]
## [619] (89.1,91.8] (97.3,100] (72.7,75.5] (91.8,94.5] (72.7,75.5] (70,72.7]
## [625] (97.3,100] (91.8,94.5] (72.7,75.5] (86.4,89.1] (97.3,100] (83.6,86.4]
## [631] (86.4,89.1] (80.9,83.6] (86.4,89.1] (80.9,83.6] (80.9,83.6] (89.1,91.8]
## [637] (89.1,91.8] (75.5,78.2] (83.6,86.4] (72.7,75.5] (91.8,94.5] (80.9,83.6]
## [643] (80.9,83.6] (94.5,97.3] (72.7,75.5] (94.5,97.3] (91.8,94.5] (97.3,100]
## [649] (83.6,86.4] (97.3,100] (86.4,89.1] (78.2,80.9] (97.3,100] (97.3,100]
## [655] (72.7,75.5] (80.9,83.6] (91.8,94.5] (75.5,78.2] (97.3,100] (86.4,89.1]
## [661] (75.5,78.2] (89.1,91.8] (97.3,100] (75.5,78.2] (70,72.7] (97.3,100]
## [667] (80.9,83.6] (97.3,100] (94.5,97.3] (97.3,100] (86.4,89.1] (89.1,91.8]
## [673] (91.8,94.5] (72.7,75.5] (89.1,91.8] (91.8,94.5] (91.8,94.5] (80.9,83.6]
## [679] (70,72.7] (91.8,94.5] (72.7,75.5] (86.4,89.1] (89.1,91.8] (97.3,100]
## [685] (72.7,75.5] (80.9,83.6] (70,72.7] (70,72.7] (94.5,97.3] (94.5,97.3]
## [691] (70,72.7] (78.2,80.9] (83.6,86.4] (86.4,89.1] (78.2,80.9] (83.6,86.4]
## [697] (75.5,78.2] (91.8,94.5] (94.5,97.3] (75.5,78.2] (72.7,75.5] (70,72.7]
## [703] (75.5,78.2] (83.6,86.4] (72.7,75.5] (89.1,91.8] (80.9,83.6] (80.9,83.6]
## [709] (91.8,94.5] (86.4,89.1] (70,72.7] (91.8,94.5] (70,72.7] (97.3,100]
## [715] (89.1,91.8] (94.5,97.3] (70,72.7] (78.2,80.9] (97.3,100] (83.6,86.4]
## [721] (83.6,86.4] (94.5,97.3] (91.8,94.5] (78.2,80.9] (72.7,75.5] (75.5,78.2]
## [727] (70,72.7] (78.2,80.9] (72.7,75.5] (72.7,75.5] (91.8,94.5] (80.9,83.6]
## [733] (94.5,97.3] (83.6,86.4] (72.7,75.5] (75.5,78.2] (94.5,97.3] (80.9,83.6]
## [739] (97.3,100] (91.8,94.5] (78.2,80.9] (72.7,75.5] (91.8,94.5] (91.8,94.5]
## [745] (70,72.7] (78.2,80.9] (72.7,75.5] (91.8,94.5] (78.2,80.9] (78.2,80.9]
## [751] (72.7,75.5] (91.8,94.5] (91.8,94.5] (70,72.7] (75.5,78.2] (78.2,80.9]
## [757] (89.1,91.8] (91.8,94.5] (70,72.7] (75.5,78.2] (70,72.7] (91.8,94.5]
## [763] (83.6,86.4] (86.4,89.1] (70,72.7] (94.5,97.3] (89.1,91.8] (80.9,83.6]
## [769] (80.9,83.6] (70,72.7] (83.6,86.4] (97.3,100] (72.7,75.5] (75.5,78.2]
## [775] (72.7,75.5] (70,72.7] (97.3,100] (72.7,75.5] (83.6,86.4] (86.4,89.1]
## [781] (94.5,97.3] (80.9,83.6] (80.9,83.6] (78.2,80.9] (86.4,89.1] (75.5,78.2]
## [787] (89.1,91.8] (94.5,97.3] (78.2,80.9] (80.9,83.6] (86.4,89.1] (72.7,75.5]
## [793] (94.5,97.3] (70,72.7] (89.1,91.8] (80.9,83.6] (70,72.7] (86.4,89.1]
## [799] (86.4,89.1] (86.4,89.1] (78.2,80.9] (91.8,94.5] (91.8,94.5] (80.9,83.6]
## [805] (75.5,78.2] (86.4,89.1] (86.4,89.1] (97.3,100] (91.8,94.5] (72.7,75.5]
## [811] (97.3,100] (72.7,75.5] (86.4,89.1] (70,72.7] (97.3,100] (75.5,78.2]
## [817] (94.5,97.3] (97.3,100] (80.9,83.6] (72.7,75.5] (91.8,94.5] (97.3,100]
## [823] (78.2,80.9] (89.1,91.8] (80.9,83.6] (75.5,78.2] (89.1,91.8] (80.9,83.6]
## [829] (80.9,83.6] (75.5,78.2] (97.3,100] (78.2,80.9] (80.9,83.6] (94.5,97.3]
## [835] (75.5,78.2] (91.8,94.5] (89.1,91.8] (86.4,89.1] (86.4,89.1] (72.7,75.5]
## [841] (86.4,89.1] (89.1,91.8] (70,72.7] (83.6,86.4] (78.2,80.9] (94.5,97.3]
## [847] (94.5,97.3] (83.6,86.4] (78.2,80.9] (91.8,94.5] (86.4,89.1] (91.8,94.5]
## [853] (70,72.7] (86.4,89.1] (80.9,83.6] (83.6,86.4] (89.1,91.8] (75.5,78.2]
## [859] (83.6,86.4] (75.5,78.2] (86.4,89.1] (75.5,78.2] (83.6,86.4] (75.5,78.2]
## [865] (86.4,89.1] (83.6,86.4] (89.1,91.8] (72.7,75.5] (86.4,89.1] (86.4,89.1]
## [871] (97.3,100] (94.5,97.3] (80.9,83.6] (70,72.7] (80.9,83.6] (72.7,75.5]
## [877] (94.5,97.3] (75.5,78.2] (72.7,75.5] (70,72.7] (91.8,94.5] (86.4,89.1]
## [883] (70,72.7] (86.4,89.1] (83.6,86.4] (83.6,86.4] (86.4,89.1] (80.9,83.6]
## [889] (78.2,80.9] (91.8,94.5] (83.6,86.4] (75.5,78.2] (72.7,75.5] (80.9,83.6]
## [895] (78.2,80.9] (80.9,83.6] (70,72.7] (89.1,91.8] (94.5,97.3] (80.9,83.6]
## [901] (91.8,94.5] (83.6,86.4] (83.6,86.4] (89.1,91.8] (83.6,86.4] (91.8,94.5]
## [907] (97.3,100] (97.3,100] (94.5,97.3] (86.4,89.1] (91.8,94.5] (78.2,80.9]
## [913] (86.4,89.1] (70,72.7] (80.9,83.6] (78.2,80.9] (86.4,89.1] (75.5,78.2]
## [919] (94.5,97.3] (83.6,86.4] (72.7,75.5] (94.5,97.3] (70,72.7] (75.5,78.2]
## [925] (70,72.7] (89.1,91.8] (72.7,75.5] (80.9,83.6] (83.6,86.4] (80.9,83.6]
## [931] (86.4,89.1] (94.5,97.3] (70,72.7] (89.1,91.8] (83.6,86.4] (72.7,75.5]
## [937] (70,72.7] (83.6,86.4] (75.5,78.2] (86.4,89.1] (70,72.7] (78.2,80.9]
## [943] (80.9,83.6] (75.5,78.2] (86.4,89.1] (72.7,75.5] (70,72.7] (97.3,100]
## [949] (86.4,89.1] (97.3,100] (70,72.7] (86.4,89.1] (72.7,75.5] (72.7,75.5]
## [955] (72.7,75.5] (94.5,97.3] (75.5,78.2] (89.1,91.8] (89.1,91.8] (75.5,78.2]
## [961] (75.5,78.2] (70,72.7] (97.3,100] (72.7,75.5] (72.7,75.5] (78.2,80.9]
## [967] (91.8,94.5] (97.3,100] (97.3,100] (97.3,100] (91.8,94.5] (94.5,97.3]
## [973] (72.7,75.5] (97.3,100] (75.5,78.2] (83.6,86.4] (91.8,94.5] (72.7,75.5]
## [979] (89.1,91.8] (78.2,80.9] (75.5,78.2] (97.3,100] (89.1,91.8] (91.8,94.5]
## [985] (97.3,100] (75.5,78.2] (94.5,97.3] (78.2,80.9] (80.9,83.6] (89.1,91.8]
## [991] (78.2,80.9] (86.4,89.1] (86.4,89.1] (94.5,97.3] (94.5,97.3] (80.9,83.6]
## [997] (80.9,83.6] (70,72.7] (86.4,89.1] (83.6,86.4]
## 11 Levels: (70,72.7] (72.7,75.5] (75.5,78.2] (78.2,80.9] ... (97.3,100]#Se declara una tabla de intervalos con sus respectivas frecuencias
tabla.intervalos <- transform(table(cut(datos, breaks = nointervalos)))
tabla.intervalos## Var1 Freq
## 1 (70,72.7] 92
## 2 (72.7,75.5] 106
## 3 (75.5,78.2] 89
## 4 (78.2,80.9] 73
## 5 (80.9,83.6] 109
## 6 (83.6,86.4] 87
## 7 (86.4,89.1] 108
## 8 (89.1,91.8] 64
## 9 (91.8,94.5] 103
## 10 (94.5,97.3] 88
## 11 (97.3,100] 81#Aqui se muestra una grafica de pastel sobre la frecuencia de los intervalos
pie(tabla.intervalos$Freq, labels = paste(tabla.intervalos$Var1, " - ", tabla.intervalos$Freq), main = "¿De cuál intervalo hay más y menos elementos?")