set.seed(1234)
datos <- sample(70:100, 1000, replace = TRUE)
datos
## [1] 97 85 95 91 74 81 84 78 74 75 85 73 71 76 91 95 75 84
## [19] 83 89 83 99 93 99 73 73 90 77 89 93 72 73 100 100 98 95
## [37] 74 71 99 84 77 96 89 85 81 72 92 78 88 91 73 77 79 80
## [55] 71 90 84 91 86 75 93 88 75 86 98 86 94 77 95 86 100 96
## [73] 77 79 84 91 72 78 85 72 91 94 79 92 91 93 82 94 72 88
## [91] 87 90 93 95 92 75 97 89 78 100 76 98 88 75 100 74 96 81
## [109] 77 85 97 70 73 92 97 88 78 99 99 100 89 86 75 91 95 75
## [127] 90 90 82 86 71 99 75 95 71 90 85 80 97 73 72 95 73 90
## [145] 79 75 75 78 80 88 94 91 83 77 98 86 82 94 85 71 75 93
## [163] 99 80 75 99 88 92 84 90 91 83 92 97 88 88 76 78 96 97
## [181] 85 96 77 72 95 85 91 92 97 71 74 85 90 78 72 77 72 77
## [199] 88 98 94 73 93 89 88 95 76 86 94 72 71 74 84 84 99 79
## [217] 91 94 86 72 94 85 78 89 81 74 86 72 84 91 74 75 87 99
## [235] 88 87 92 80 85 100 75 76 77 73 80 98 84 86 80 76 79 93
## [253] 80 72 95 87 80 93 70 77 77 91 79 74 89 81 100 79 89 70
## [271] 98 91 75 96 72 73 73 80 72 70 88 98 70 99 94 97 81 98
## [289] 88 79 90 82 81 98 100 70 90 82 79 91 82 96 77 87 92 100
## [307] 71 93 75 94 90 83 75 74 80 83 97 97 78 89 89 70 70 84
## [325] 75 99 90 79 71 80 94 87 81 80 88 74 94 71 75 71 74 99
## [343] 92 82 95 89 74 78 92 96 75 84 91 89 78 71 80 93 81 93
## [361] 74 88 100 96 76 89 75 74 84 100 73 92 97 82 97 71 96 79
## [379] 96 73 87 89 79 71 86 73 91 79 93 88 82 83 78 82 96 92
## [397] 84 99 96 88 95 79 82 70 75 90 97 91 72 84 88 97 70 86
## [415] 87 84 84 90 73 97 83 96 83 86 79 85 92 96 91 79 86 83
## [433] 75 91 91 84 76 90 74 97 96 90 75 82 80 98 91 89 77 85
## [451] 88 87 85 81 92 84 77 73 82 98 83 78 88 70 73 93 83 100
## [469] 79 93 82 82 96 79 88 80 84 90 84 80 73 96 91 96 86 100
## [487] 83 83 100 87 91 77 82 89 100 100 80 72 91 100 80 79 79 87
## [505] 95 72 73 100 84 90 91 71 84 93 87 84 90 75 77 97 78 88
## [523] 93 99 92 96 77 99 100 81 72 84 86 100 72 89 97 80 89 76
## [541] 73 82 85 100 86 80 90 73 99 84 98 99 87 76 71 74 91 88
## [559] 84 95 78 76 85 81 93 90 80 95 94 98 94 76 97 93 95 100
## [577] 92 76 93 74 75 70 75 82 79 83 93 89 75 71 99 89 79 98
## [595] 92 84 93 70 70 86 89 88 100 85 86 75 100 90 82 94 80 86
## [613] 84 97 75 98 78 70 100 72 75 89 100 87 94 94 90 91 91 86
## [631] 99 87 71 70 90 80 99 99 95 95 76 92 74 89 89 80 83 91
## [649] 96 76 95 83 83 76 76 92 82 76 82 70 98 97 99 72 84 91
## [667] 79 88 97 100 70 82 93 86 77 84 95 85 79 71 70 83 81 88
## [685] 84 97 71 76 99 100 83 84 70 96 77 88 84 88 76 98 99 93
## [703] 90 72 91 100 91 100 70 78 76 76 80 75 72 72 91 76 80 81
## [721] 90 81 94 89 78 71 98 94 100 92 83 77 92 92 74 99 91 73
## [739] 82 76 82 81 89 100 82 83 78 74 80 91 94 100 71 95 96 74
## [757] 94 92 98 70 76 78 73 92 85 95 92 97 86 96 94 100 74 71
## [775] 95 75 92 87 73 90 90 79 96 83 97 98 90 75 85 81 97 73
## [793] 75 96 72 70 70 85 80 80 72 86 91 75 87 86 70 89 85 98
## [811] 79 74 100 80 94 92 76 85 70 71 92 77 100 99 81 81 86 76
## [829] 91 98 77 96 88 91 95 80 91 70 77 83 87 88 79 78 90 85
## [847] 97 88 73 99 70 95 76 82 84 90 86 71 82 90 94 93 98 86
## [865] 81 95 74 80 98 88 100 92 72 86 83 79 84 88 80 78 79 100
## [883] 72 70 95 99 70 100 85 85 83 76 81 88 97 75 88 99 77 88
## [901] 91 83 88 74 79 96 95 96 88 91 74 96 99 79 75 91 80 75
## [919] 81 70 95 97 85 72 70 74 78 78 71 85 70 93 94 96 73 93
## [937] 71 76 88 89 85 83 72 73 92 73 91 90 79 72 97 71 78 94
## [955] 94 87 72 96 94 92 80 97 91 91 92 80 70 75 85 80 88 91
## [973] 71 100 96 87 89 71 93 94 100 76 70 91 78 89 72 92 97 74
## [991] 93 91 99 89 74 92 74 92 87 70
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 70 70
## [37] 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71 71
## [55] 71 71 71 71 71 71 71 71 71 71 71 71 71 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 72 72 72 72 72 72 72 72 72 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 73 73 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] 75 75 75 75 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] 75 75 75 75 75 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 76 76 76 76 76
## [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 77 77 77 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 80 80 80 80
## [325] 80 80 80 80 80 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 81 81
## [361] 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81 81
## [379] 81 81 82 82 82 82 82 82 82 82 82 82 82 82 82 82 82 82
## [397] 82 82 82 82 82 82 82 82 82 82 82 83 83 83 83 83 83 83
## [415] 83 83 83 83 83 83 83 83 83 83 83 83 83 83 83 83 83 83
## [433] 83 83 83 84 84 84 84 84 84 84 84 84 84 84 84 84 84 84
## [451] 84 84 84 84 84 84 84 84 84 84 84 84 84 84 84 84 84 84
## [469] 84 84 84 85 85 85 85 85 85 85 85 85 85 85 85 85 85 85
## [487] 85 85 85 85 85 85 85 85 85 85 85 85 85 85 85 85 86 86
## [505] 86 86 86 86 86 86 86 86 86 86 86 86 86 86 86 86 86 86
## [523] 86 86 86 86 86 86 86 86 86 86 87 87 87 87 87 87 87 87
## [541] 87 87 87 87 87 87 87 87 87 87 87 87 87 88 88 88 88 88
## [559] 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88
## [577] 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88 88
## [595] 89 89 89 89 89 89 89 89 89 89 89 89 89 89 89 89 89 89
## [613] 89 89 89 89 89 89 89 89 89 89 89 89 89 89 90 90 90 90
## [631] 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90
## [649] 90 90 90 90 90 90 90 90 90 90 90 90 91 91 91 91 91 91
## [667] 91 91 91 91 91 91 91 91 91 91 91 91 91 91 91 91 91 91
## [685] 91 91 91 91 91 91 91 91 91 91 91 91 91 91 91 91 91 91
## [703] 91 91 91 91 91 91 91 91 92 92 92 92 92 92 92 92 92 92
## [721] 92 92 92 92 92 92 92 92 92 92 92 92 92 92 92 92 92 92
## [739] 92 92 92 92 92 92 92 92 93 93 93 93 93 93 93 93 93 93
## [757] 93 93 93 93 93 93 93 93 93 93 93 93 93 93 93 93 93 93
## [775] 93 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94 94
## [793] 94 94 94 94 94 94 94 94 94 94 94 94 94 95 95 95 95 95
## [811] 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95 95
## [829] 95 95 95 95 95 95 95 96 96 96 96 96 96 96 96 96 96 96
## [847] 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96
## [865] 96 96 96 96 97 97 97 97 97 97 97 97 97 97 97 97 97 97
## [883] 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97
## [901] 97 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98
## [919] 98 98 98 98 98 98 98 98 99 99 99 99 99 99 99 99 99 99
## [937] 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99
## [955] 99 99 99 99 100 100 100 100 100 100 100 100 100 100 100 100 100 100
## [973] 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100
## [991] 100 100 100 100 100 100 100 100 100 100
n <- length(datos)
n
## [1] 1000
max(datos)
## [1] 100
min(datos)
## [1] 70
rango <- range(datos)
rango
## [1] 70 100
amplitud <- diff(rango) # amplitud del rango. Tambien es max(muestra) - min(muestra)
amplitud
## [1] 30
# Fórmula : valor mínimo / intervalos
nointervalos <- 5 # Número de intervalos que se desea
rangointervalos <- amplitud / nointervalos
rangointervalos
## [1] 6
# paste significa concatenar
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"
tabla.intervalos <- transform(table(cut(datos, breaks = 5)))
tabla.intervalos
## Var1 Freq
## 1 (70,76] 234
## 2 (76,82] 173
## 3 (82,88] 187
## 4 (88,94] 211
## 5 (94,100] 195
plot(tabla.intervalos, main = "¿De cuál intervalo hay más y menos elementos?")
#### REGLA DE STURGES. #### De manera mantematica sugiere los intérvalos y las amplitudes de cada intervalo #### ¿Cuáles intérvalos genera? ¿cual es la amplitud de cada intérvalo? #### Fórmula: K=1+3.322(log N) /* Logaritmo de base 10 */
1 + 3.3222* (log10(n)) ## Redondeado hacia arriba entonces sale 11 igual que siguiente
## [1] 10.9666
nointervalos <- nclass.Sturges(datos) # igual al numero de intervalos aqui sale 11
nointervalos
## [1] 11
cut(datos, breaks = nointervalos) #Cortes de cada intérvalo
## [1] (94.5,97.3] (83.6,86.4] (94.5,97.3] (89.1,91.8] (72.7,75.5] (80.9,83.6]
## [7] (83.6,86.4] (75.5,78.2] (72.7,75.5] (72.7,75.5] (83.6,86.4] (72.7,75.5]
## [13] (70,72.7] (75.5,78.2] (89.1,91.8] (94.5,97.3] (72.7,75.5] (83.6,86.4]
## [19] (80.9,83.6] (86.4,89.1] (80.9,83.6] (97.3,100] (91.8,94.5] (97.3,100]
## [25] (72.7,75.5] (72.7,75.5] (89.1,91.8] (75.5,78.2] (86.4,89.1] (91.8,94.5]
## [31] (70,72.7] (72.7,75.5] (97.3,100] (97.3,100] (97.3,100] (94.5,97.3]
## [37] (72.7,75.5] (70,72.7] (97.3,100] (83.6,86.4] (75.5,78.2] (94.5,97.3]
## [43] (86.4,89.1] (83.6,86.4] (80.9,83.6] (70,72.7] (91.8,94.5] (75.5,78.2]
## [49] (86.4,89.1] (89.1,91.8] (72.7,75.5] (75.5,78.2] (78.2,80.9] (78.2,80.9]
## [55] (70,72.7] (89.1,91.8] (83.6,86.4] (89.1,91.8] (83.6,86.4] (72.7,75.5]
## [61] (91.8,94.5] (86.4,89.1] (72.7,75.5] (83.6,86.4] (97.3,100] (83.6,86.4]
## [67] (91.8,94.5] (75.5,78.2] (94.5,97.3] (83.6,86.4] (97.3,100] (94.5,97.3]
## [73] (75.5,78.2] (78.2,80.9] (83.6,86.4] (89.1,91.8] (70,72.7] (75.5,78.2]
## [79] (83.6,86.4] (70,72.7] (89.1,91.8] (91.8,94.5] (78.2,80.9] (91.8,94.5]
## [85] (89.1,91.8] (91.8,94.5] (80.9,83.6] (91.8,94.5] (70,72.7] (86.4,89.1]
## [91] (86.4,89.1] (89.1,91.8] (91.8,94.5] (94.5,97.3] (91.8,94.5] (72.7,75.5]
## [97] (94.5,97.3] (86.4,89.1] (75.5,78.2] (97.3,100] (75.5,78.2] (97.3,100]
## [103] (86.4,89.1] (72.7,75.5] (97.3,100] (72.7,75.5] (94.5,97.3] (80.9,83.6]
## [109] (75.5,78.2] (83.6,86.4] (94.5,97.3] (70,72.7] (72.7,75.5] (91.8,94.5]
## [115] (94.5,97.3] (86.4,89.1] (75.5,78.2] (97.3,100] (97.3,100] (97.3,100]
## [121] (86.4,89.1] (83.6,86.4] (72.7,75.5] (89.1,91.8] (94.5,97.3] (72.7,75.5]
## [127] (89.1,91.8] (89.1,91.8] (80.9,83.6] (83.6,86.4] (70,72.7] (97.3,100]
## [133] (72.7,75.5] (94.5,97.3] (70,72.7] (89.1,91.8] (83.6,86.4] (78.2,80.9]
## [139] (94.5,97.3] (72.7,75.5] (70,72.7] (94.5,97.3] (72.7,75.5] (89.1,91.8]
## [145] (78.2,80.9] (72.7,75.5] (72.7,75.5] (75.5,78.2] (78.2,80.9] (86.4,89.1]
## [151] (91.8,94.5] (89.1,91.8] (80.9,83.6] (75.5,78.2] (97.3,100] (83.6,86.4]
## [157] (80.9,83.6] (91.8,94.5] (83.6,86.4] (70,72.7] (72.7,75.5] (91.8,94.5]
## [163] (97.3,100] (78.2,80.9] (72.7,75.5] (97.3,100] (86.4,89.1] (91.8,94.5]
## [169] (83.6,86.4] (89.1,91.8] (89.1,91.8] (80.9,83.6] (91.8,94.5] (94.5,97.3]
## [175] (86.4,89.1] (86.4,89.1] (75.5,78.2] (75.5,78.2] (94.5,97.3] (94.5,97.3]
## [181] (83.6,86.4] (94.5,97.3] (75.5,78.2] (70,72.7] (94.5,97.3] (83.6,86.4]
## [187] (89.1,91.8] (91.8,94.5] (94.5,97.3] (70,72.7] (72.7,75.5] (83.6,86.4]
## [193] (89.1,91.8] (75.5,78.2] (70,72.7] (75.5,78.2] (70,72.7] (75.5,78.2]
## [199] (86.4,89.1] (97.3,100] (91.8,94.5] (72.7,75.5] (91.8,94.5] (86.4,89.1]
## [205] (86.4,89.1] (94.5,97.3] (75.5,78.2] (83.6,86.4] (91.8,94.5] (70,72.7]
## [211] (70,72.7] (72.7,75.5] (83.6,86.4] (83.6,86.4] (97.3,100] (78.2,80.9]
## [217] (89.1,91.8] (91.8,94.5] (83.6,86.4] (70,72.7] (91.8,94.5] (83.6,86.4]
## [223] (75.5,78.2] (86.4,89.1] (80.9,83.6] (72.7,75.5] (83.6,86.4] (70,72.7]
## [229] (83.6,86.4] (89.1,91.8] (72.7,75.5] (72.7,75.5] (86.4,89.1] (97.3,100]
## [235] (86.4,89.1] (86.4,89.1] (91.8,94.5] (78.2,80.9] (83.6,86.4] (97.3,100]
## [241] (72.7,75.5] (75.5,78.2] (75.5,78.2] (72.7,75.5] (78.2,80.9] (97.3,100]
## [247] (83.6,86.4] (83.6,86.4] (78.2,80.9] (75.5,78.2] (78.2,80.9] (91.8,94.5]
## [253] (78.2,80.9] (70,72.7] (94.5,97.3] (86.4,89.1] (78.2,80.9] (91.8,94.5]
## [259] (70,72.7] (75.5,78.2] (75.5,78.2] (89.1,91.8] (78.2,80.9] (72.7,75.5]
## [265] (86.4,89.1] (80.9,83.6] (97.3,100] (78.2,80.9] (86.4,89.1] (70,72.7]
## [271] (97.3,100] (89.1,91.8] (72.7,75.5] (94.5,97.3] (70,72.7] (72.7,75.5]
## [277] (72.7,75.5] (78.2,80.9] (70,72.7] (70,72.7] (86.4,89.1] (97.3,100]
## [283] (70,72.7] (97.3,100] (91.8,94.5] (94.5,97.3] (80.9,83.6] (97.3,100]
## [289] (86.4,89.1] (78.2,80.9] (89.1,91.8] (80.9,83.6] (80.9,83.6] (97.3,100]
## [295] (97.3,100] (70,72.7] (89.1,91.8] (80.9,83.6] (78.2,80.9] (89.1,91.8]
## [301] (80.9,83.6] (94.5,97.3] (75.5,78.2] (86.4,89.1] (91.8,94.5] (97.3,100]
## [307] (70,72.7] (91.8,94.5] (72.7,75.5] (91.8,94.5] (89.1,91.8] (80.9,83.6]
## [313] (72.7,75.5] (72.7,75.5] (78.2,80.9] (80.9,83.6] (94.5,97.3] (94.5,97.3]
## [319] (75.5,78.2] (86.4,89.1] (86.4,89.1] (70,72.7] (70,72.7] (83.6,86.4]
## [325] (72.7,75.5] (97.3,100] (89.1,91.8] (78.2,80.9] (70,72.7] (78.2,80.9]
## [331] (91.8,94.5] (86.4,89.1] (80.9,83.6] (78.2,80.9] (86.4,89.1] (72.7,75.5]
## [337] (91.8,94.5] (70,72.7] (72.7,75.5] (70,72.7] (72.7,75.5] (97.3,100]
## [343] (91.8,94.5] (80.9,83.6] (94.5,97.3] (86.4,89.1] (72.7,75.5] (75.5,78.2]
## [349] (91.8,94.5] (94.5,97.3] (72.7,75.5] (83.6,86.4] (89.1,91.8] (86.4,89.1]
## [355] (75.5,78.2] (70,72.7] (78.2,80.9] (91.8,94.5] (80.9,83.6] (91.8,94.5]
## [361] (72.7,75.5] (86.4,89.1] (97.3,100] (94.5,97.3] (75.5,78.2] (86.4,89.1]
## [367] (72.7,75.5] (72.7,75.5] (83.6,86.4] (97.3,100] (72.7,75.5] (91.8,94.5]
## [373] (94.5,97.3] (80.9,83.6] (94.5,97.3] (70,72.7] (94.5,97.3] (78.2,80.9]
## [379] (94.5,97.3] (72.7,75.5] (86.4,89.1] (86.4,89.1] (78.2,80.9] (70,72.7]
## [385] (83.6,86.4] (72.7,75.5] (89.1,91.8] (78.2,80.9] (91.8,94.5] (86.4,89.1]
## [391] (80.9,83.6] (80.9,83.6] (75.5,78.2] (80.9,83.6] (94.5,97.3] (91.8,94.5]
## [397] (83.6,86.4] (97.3,100] (94.5,97.3] (86.4,89.1] (94.5,97.3] (78.2,80.9]
## [403] (80.9,83.6] (70,72.7] (72.7,75.5] (89.1,91.8] (94.5,97.3] (89.1,91.8]
## [409] (70,72.7] (83.6,86.4] (86.4,89.1] (94.5,97.3] (70,72.7] (83.6,86.4]
## [415] (86.4,89.1] (83.6,86.4] (83.6,86.4] (89.1,91.8] (72.7,75.5] (94.5,97.3]
## [421] (80.9,83.6] (94.5,97.3] (80.9,83.6] (83.6,86.4] (78.2,80.9] (83.6,86.4]
## [427] (91.8,94.5] (94.5,97.3] (89.1,91.8] (78.2,80.9] (83.6,86.4] (80.9,83.6]
## [433] (72.7,75.5] (89.1,91.8] (89.1,91.8] (83.6,86.4] (75.5,78.2] (89.1,91.8]
## [439] (72.7,75.5] (94.5,97.3] (94.5,97.3] (89.1,91.8] (72.7,75.5] (80.9,83.6]
## [445] (78.2,80.9] (97.3,100] (89.1,91.8] (86.4,89.1] (75.5,78.2] (83.6,86.4]
## [451] (86.4,89.1] (86.4,89.1] (83.6,86.4] (80.9,83.6] (91.8,94.5] (83.6,86.4]
## [457] (75.5,78.2] (72.7,75.5] (80.9,83.6] (97.3,100] (80.9,83.6] (75.5,78.2]
## [463] (86.4,89.1] (70,72.7] (72.7,75.5] (91.8,94.5] (80.9,83.6] (97.3,100]
## [469] (78.2,80.9] (91.8,94.5] (80.9,83.6] (80.9,83.6] (94.5,97.3] (78.2,80.9]
## [475] (86.4,89.1] (78.2,80.9] (83.6,86.4] (89.1,91.8] (83.6,86.4] (78.2,80.9]
## [481] (72.7,75.5] (94.5,97.3] (89.1,91.8] (94.5,97.3] (83.6,86.4] (97.3,100]
## [487] (80.9,83.6] (80.9,83.6] (97.3,100] (86.4,89.1] (89.1,91.8] (75.5,78.2]
## [493] (80.9,83.6] (86.4,89.1] (97.3,100] (97.3,100] (78.2,80.9] (70,72.7]
## [499] (89.1,91.8] (97.3,100] (78.2,80.9] (78.2,80.9] (78.2,80.9] (86.4,89.1]
## [505] (94.5,97.3] (70,72.7] (72.7,75.5] (97.3,100] (83.6,86.4] (89.1,91.8]
## [511] (89.1,91.8] (70,72.7] (83.6,86.4] (91.8,94.5] (86.4,89.1] (83.6,86.4]
## [517] (89.1,91.8] (72.7,75.5] (75.5,78.2] (94.5,97.3] (75.5,78.2] (86.4,89.1]
## [523] (91.8,94.5] (97.3,100] (91.8,94.5] (94.5,97.3] (75.5,78.2] (97.3,100]
## [529] (97.3,100] (80.9,83.6] (70,72.7] (83.6,86.4] (83.6,86.4] (97.3,100]
## [535] (70,72.7] (86.4,89.1] (94.5,97.3] (78.2,80.9] (86.4,89.1] (75.5,78.2]
## [541] (72.7,75.5] (80.9,83.6] (83.6,86.4] (97.3,100] (83.6,86.4] (78.2,80.9]
## [547] (89.1,91.8] (72.7,75.5] (97.3,100] (83.6,86.4] (97.3,100] (97.3,100]
## [553] (86.4,89.1] (75.5,78.2] (70,72.7] (72.7,75.5] (89.1,91.8] (86.4,89.1]
## [559] (83.6,86.4] (94.5,97.3] (75.5,78.2] (75.5,78.2] (83.6,86.4] (80.9,83.6]
## [565] (91.8,94.5] (89.1,91.8] (78.2,80.9] (94.5,97.3] (91.8,94.5] (97.3,100]
## [571] (91.8,94.5] (75.5,78.2] (94.5,97.3] (91.8,94.5] (94.5,97.3] (97.3,100]
## [577] (91.8,94.5] (75.5,78.2] (91.8,94.5] (72.7,75.5] (72.7,75.5] (70,72.7]
## [583] (72.7,75.5] (80.9,83.6] (78.2,80.9] (80.9,83.6] (91.8,94.5] (86.4,89.1]
## [589] (72.7,75.5] (70,72.7] (97.3,100] (86.4,89.1] (78.2,80.9] (97.3,100]
## [595] (91.8,94.5] (83.6,86.4] (91.8,94.5] (70,72.7] (70,72.7] (83.6,86.4]
## [601] (86.4,89.1] (86.4,89.1] (97.3,100] (83.6,86.4] (83.6,86.4] (72.7,75.5]
## [607] (97.3,100] (89.1,91.8] (80.9,83.6] (91.8,94.5] (78.2,80.9] (83.6,86.4]
## [613] (83.6,86.4] (94.5,97.3] (72.7,75.5] (97.3,100] (75.5,78.2] (70,72.7]
## [619] (97.3,100] (70,72.7] (72.7,75.5] (86.4,89.1] (97.3,100] (86.4,89.1]
## [625] (91.8,94.5] (91.8,94.5] (89.1,91.8] (89.1,91.8] (89.1,91.8] (83.6,86.4]
## [631] (97.3,100] (86.4,89.1] (70,72.7] (70,72.7] (89.1,91.8] (78.2,80.9]
## [637] (97.3,100] (97.3,100] (94.5,97.3] (94.5,97.3] (75.5,78.2] (91.8,94.5]
## [643] (72.7,75.5] (86.4,89.1] (86.4,89.1] (78.2,80.9] (80.9,83.6] (89.1,91.8]
## [649] (94.5,97.3] (75.5,78.2] (94.5,97.3] (80.9,83.6] (80.9,83.6] (75.5,78.2]
## [655] (75.5,78.2] (91.8,94.5] (80.9,83.6] (75.5,78.2] (80.9,83.6] (70,72.7]
## [661] (97.3,100] (94.5,97.3] (97.3,100] (70,72.7] (83.6,86.4] (89.1,91.8]
## [667] (78.2,80.9] (86.4,89.1] (94.5,97.3] (97.3,100] (70,72.7] (80.9,83.6]
## [673] (91.8,94.5] (83.6,86.4] (75.5,78.2] (83.6,86.4] (94.5,97.3] (83.6,86.4]
## [679] (78.2,80.9] (70,72.7] (70,72.7] (80.9,83.6] (80.9,83.6] (86.4,89.1]
## [685] (83.6,86.4] (94.5,97.3] (70,72.7] (75.5,78.2] (97.3,100] (97.3,100]
## [691] (80.9,83.6] (83.6,86.4] (70,72.7] (94.5,97.3] (75.5,78.2] (86.4,89.1]
## [697] (83.6,86.4] (86.4,89.1] (75.5,78.2] (97.3,100] (97.3,100] (91.8,94.5]
## [703] (89.1,91.8] (70,72.7] (89.1,91.8] (97.3,100] (89.1,91.8] (97.3,100]
## [709] (70,72.7] (75.5,78.2] (75.5,78.2] (75.5,78.2] (78.2,80.9] (72.7,75.5]
## [715] (70,72.7] (70,72.7] (89.1,91.8] (75.5,78.2] (78.2,80.9] (80.9,83.6]
## [721] (89.1,91.8] (80.9,83.6] (91.8,94.5] (86.4,89.1] (75.5,78.2] (70,72.7]
## [727] (97.3,100] (91.8,94.5] (97.3,100] (91.8,94.5] (80.9,83.6] (75.5,78.2]
## [733] (91.8,94.5] (91.8,94.5] (72.7,75.5] (97.3,100] (89.1,91.8] (72.7,75.5]
## [739] (80.9,83.6] (75.5,78.2] (80.9,83.6] (80.9,83.6] (86.4,89.1] (97.3,100]
## [745] (80.9,83.6] (80.9,83.6] (75.5,78.2] (72.7,75.5] (78.2,80.9] (89.1,91.8]
## [751] (91.8,94.5] (97.3,100] (70,72.7] (94.5,97.3] (94.5,97.3] (72.7,75.5]
## [757] (91.8,94.5] (91.8,94.5] (97.3,100] (70,72.7] (75.5,78.2] (75.5,78.2]
## [763] (72.7,75.5] (91.8,94.5] (83.6,86.4] (94.5,97.3] (91.8,94.5] (94.5,97.3]
## [769] (83.6,86.4] (94.5,97.3] (91.8,94.5] (97.3,100] (72.7,75.5] (70,72.7]
## [775] (94.5,97.3] (72.7,75.5] (91.8,94.5] (86.4,89.1] (72.7,75.5] (89.1,91.8]
## [781] (89.1,91.8] (78.2,80.9] (94.5,97.3] (80.9,83.6] (94.5,97.3] (97.3,100]
## [787] (89.1,91.8] (72.7,75.5] (83.6,86.4] (80.9,83.6] (94.5,97.3] (72.7,75.5]
## [793] (72.7,75.5] (94.5,97.3] (70,72.7] (70,72.7] (70,72.7] (83.6,86.4]
## [799] (78.2,80.9] (78.2,80.9] (70,72.7] (83.6,86.4] (89.1,91.8] (72.7,75.5]
## [805] (86.4,89.1] (83.6,86.4] (70,72.7] (86.4,89.1] (83.6,86.4] (97.3,100]
## [811] (78.2,80.9] (72.7,75.5] (97.3,100] (78.2,80.9] (91.8,94.5] (91.8,94.5]
## [817] (75.5,78.2] (83.6,86.4] (70,72.7] (70,72.7] (91.8,94.5] (75.5,78.2]
## [823] (97.3,100] (97.3,100] (80.9,83.6] (80.9,83.6] (83.6,86.4] (75.5,78.2]
## [829] (89.1,91.8] (97.3,100] (75.5,78.2] (94.5,97.3] (86.4,89.1] (89.1,91.8]
## [835] (94.5,97.3] (78.2,80.9] (89.1,91.8] (70,72.7] (75.5,78.2] (80.9,83.6]
## [841] (86.4,89.1] (86.4,89.1] (78.2,80.9] (75.5,78.2] (89.1,91.8] (83.6,86.4]
## [847] (94.5,97.3] (86.4,89.1] (72.7,75.5] (97.3,100] (70,72.7] (94.5,97.3]
## [853] (75.5,78.2] (80.9,83.6] (83.6,86.4] (89.1,91.8] (83.6,86.4] (70,72.7]
## [859] (80.9,83.6] (89.1,91.8] (91.8,94.5] (91.8,94.5] (97.3,100] (83.6,86.4]
## [865] (80.9,83.6] (94.5,97.3] (72.7,75.5] (78.2,80.9] (97.3,100] (86.4,89.1]
## [871] (97.3,100] (91.8,94.5] (70,72.7] (83.6,86.4] (80.9,83.6] (78.2,80.9]
## [877] (83.6,86.4] (86.4,89.1] (78.2,80.9] (75.5,78.2] (78.2,80.9] (97.3,100]
## [883] (70,72.7] (70,72.7] (94.5,97.3] (97.3,100] (70,72.7] (97.3,100]
## [889] (83.6,86.4] (83.6,86.4] (80.9,83.6] (75.5,78.2] (80.9,83.6] (86.4,89.1]
## [895] (94.5,97.3] (72.7,75.5] (86.4,89.1] (97.3,100] (75.5,78.2] (86.4,89.1]
## [901] (89.1,91.8] (80.9,83.6] (86.4,89.1] (72.7,75.5] (78.2,80.9] (94.5,97.3]
## [907] (94.5,97.3] (94.5,97.3] (86.4,89.1] (89.1,91.8] (72.7,75.5] (94.5,97.3]
## [913] (97.3,100] (78.2,80.9] (72.7,75.5] (89.1,91.8] (78.2,80.9] (72.7,75.5]
## [919] (80.9,83.6] (70,72.7] (94.5,97.3] (94.5,97.3] (83.6,86.4] (70,72.7]
## [925] (70,72.7] (72.7,75.5] (75.5,78.2] (75.5,78.2] (70,72.7] (83.6,86.4]
## [931] (70,72.7] (91.8,94.5] (91.8,94.5] (94.5,97.3] (72.7,75.5] (91.8,94.5]
## [937] (70,72.7] (75.5,78.2] (86.4,89.1] (86.4,89.1] (83.6,86.4] (80.9,83.6]
## [943] (70,72.7] (72.7,75.5] (91.8,94.5] (72.7,75.5] (89.1,91.8] (89.1,91.8]
## [949] (78.2,80.9] (70,72.7] (94.5,97.3] (70,72.7] (75.5,78.2] (91.8,94.5]
## [955] (91.8,94.5] (86.4,89.1] (70,72.7] (94.5,97.3] (91.8,94.5] (91.8,94.5]
## [961] (78.2,80.9] (94.5,97.3] (89.1,91.8] (89.1,91.8] (91.8,94.5] (78.2,80.9]
## [967] (70,72.7] (72.7,75.5] (83.6,86.4] (78.2,80.9] (86.4,89.1] (89.1,91.8]
## [973] (70,72.7] (97.3,100] (94.5,97.3] (86.4,89.1] (86.4,89.1] (70,72.7]
## [979] (91.8,94.5] (91.8,94.5] (97.3,100] (75.5,78.2] (70,72.7] (89.1,91.8]
## [985] (75.5,78.2] (86.4,89.1] (70,72.7] (91.8,94.5] (94.5,97.3] (72.7,75.5]
## [991] (91.8,94.5] (89.1,91.8] (97.3,100] (86.4,89.1] (72.7,75.5] (91.8,94.5]
## [997] (72.7,75.5] (91.8,94.5] (86.4,89.1] (70,72.7]
## 11 Levels: (70,72.7] (72.7,75.5] (75.5,78.2] (78.2,80.9] ... (97.3,100]
tabla.intervalos <- transform(table(cut(datos, breaks = nointervalos))) # son 11
tabla.intervalos
## Var1 Freq
## 1 (70,72.7] 101
## 2 (72.7,75.5] 102
## 3 (75.5,78.2] 84
## 4 (78.2,80.9] 71
## 5 (80.9,83.6] 77
## 6 (83.6,86.4] 97
## 7 (86.4,89.1] 94
## 8 (89.1,91.8] 84
## 9 (91.8,94.5] 95
## 10 (94.5,97.3] 96
## 11 (97.3,100] 99
pie(tabla.intervalos$Freq, labels = paste(tabla.intervalos$Var1, " - ", tabla.intervalos$Freq), main = "¿De cuál intervalo hay más y menos elementos?")