#Empezamos declarando los datos, éstos irán desde 70 a 100 siendo 1000 en total y pueden repetirse.
datos <- sample(70:100, 1000, replace = TRUE)
datos
## [1] 79 94 82 81 89 99 88 88 96 76 76 85 97 70 86 72 99 96
## [19] 90 83 83 91 70 70 77 94 90 89 74 94 90 96 94 77 74 92
## [37] 73 93 86 90 92 99 77 74 70 94 81 83 92 72 85 88 79 90
## [55] 72 94 93 75 88 82 93 84 77 74 86 78 72 80 91 83 84 95
## [73] 74 100 94 100 92 98 89 84 76 71 70 75 80 95 73 77 77 82
## [91] 83 76 97 94 94 83 72 86 100 70 75 74 100 83 79 100 74 71
## [109] 81 83 75 77 81 91 83 95 75 95 79 99 89 75 94 75 85 70
## [127] 98 95 98 92 76 76 91 91 92 100 76 82 99 89 88 83 100 74
## [145] 73 83 71 75 70 86 72 95 97 92 79 90 73 86 84 82 79 73
## [163] 79 98 88 97 77 91 88 70 73 84 70 79 71 90 72 93 99 100
## [181] 97 86 92 98 87 91 99 70 91 79 100 76 77 86 94 78 83 90
## [199] 88 98 88 77 81 85 83 93 85 74 82 90 94 87 94 74 92 84
## [217] 90 81 71 88 70 87 76 98 93 92 100 77 86 87 82 100 93 100
## [235] 88 70 100 95 81 79 83 100 72 77 93 91 87 73 99 79 79 96
## [253] 84 82 85 100 95 82 91 96 97 75 79 96 70 78 100 81 87 82
## [271] 77 94 100 95 76 97 81 81 94 97 88 79 74 76 84 72 84 95
## [289] 74 97 77 76 75 93 77 74 86 74 79 81 73 89 78 82 91 80
## [307] 70 97 86 94 94 82 83 80 87 90 73 83 98 83 73 96 91 73
## [325] 99 94 77 74 92 83 72 88 91 98 88 74 92 86 91 70 73 76
## [343] 81 84 70 98 74 88 87 93 81 75 81 92 80 90 71 71 100 82
## [361] 86 100 73 76 91 89 72 88 95 80 74 87 78 72 100 96 87 88
## [379] 90 94 87 86 85 78 98 96 76 84 94 74 80 86 74 80 100 75
## [397] 81 93 80 83 91 82 84 82 76 89 80 94 84 89 88 86 75 72
## [415] 100 80 73 90 81 73 73 70 91 93 85 88 98 72 75 79 88 78
## [433] 87 100 83 90 84 88 89 91 87 84 75 72 98 70 82 74 93 92
## [451] 72 95 75 80 100 90 76 96 83 98 81 87 94 95 100 100 91 75
## [469] 76 88 81 87 77 78 86 90 71 98 94 76 73 81 91 88 94 78
## [487] 70 90 78 100 88 72 100 97 99 88 78 89 91 72 84 72 84 77
## [505] 79 98 82 98 96 89 93 72 92 75 89 90 80 93 87 98 80 73
## [523] 71 84 89 98 71 72 75 82 99 79 80 86 76 100 87 71 88 84
## [541] 97 70 96 94 76 96 90 73 75 70 70 77 79 83 92 79 78 91
## [559] 90 76 79 96 73 74 73 87 89 81 91 96 78 83 92 77 84 80
## [577] 91 77 78 74 80 80 81 81 95 85 86 90 73 83 89 85 93 93
## [595] 96 90 89 86 87 74 96 79 75 94 86 87 71 93 91 89 83 85
## [613] 88 75 80 96 71 81 97 70 91 79 80 75 80 100 77 95 87 87
## [631] 85 82 80 70 98 85 93 97 80 70 91 88 72 97 98 75 95 91
## [649] 89 96 95 88 83 93 81 76 98 72 79 80 96 77 94 94 83 94
## [667] 71 96 91 84 81 78 89 98 82 94 100 76 91 92 99 89 87 90
## [685] 79 88 73 83 90 94 97 78 76 90 99 75 89 90 95 85 75 81
## [703] 75 75 97 81 84 77 76 83 100 88 72 83 83 86 87 80 80 82
## [721] 94 84 76 81 84 77 78 90 84 88 74 70 78 82 92 96 97 82
## [739] 71 73 79 99 91 76 93 99 91 78 77 78 89 86 83 82 70 83
## [757] 94 92 77 92 71 91 83 91 91 89 89 90 74 75 88 93 91 84
## [775] 91 75 97 76 95 80 97 72 90 84 92 100 98 98 97 71 88 89
## [793] 81 84 88 96 85 77 92 71 72 88 82 93 71 90 87 73 100 83
## [811] 71 76 87 93 82 71 84 89 84 91 100 76 85 76 82 99 92 90
## [829] 79 91 81 70 90 71 74 74 91 89 94 71 87 86 83 90 83 99
## [847] 95 75 74 77 78 89 89 75 71 94 98 86 90 90 79 80 98 74
## [865] 98 97 99 94 76 86 91 70 89 71 83 88 82 85 87 96 74 71
## [883] 81 88 100 97 81 87 93 91 72 78 87 88 92 78 98 99 82 89
## [901] 71 100 92 84 80 74 72 100 90 73 72 89 87 81 95 90 76 82
## [919] 85 82 82 70 79 94 90 99 94 74 90 92 70 75 84 80 96 81
## [937] 100 72 96 82 97 88 77 100 78 97 84 82 82 72 99 84 98 94
## [955] 84 86 71 80 89 82 91 93 81 80 73 84 72 79 78 81 89 79
## [973] 93 97 81 96 93 82 94 89 84 74 72 70 80 73 100 94 73 84
## [991] 76 75 74 85 88 89 91 96 73 89
#Aquí se ordenan y muestran los datos
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 71 71 71
## [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 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 72 72 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 74 74
## [127] 74 74 74 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 75 75 75
## [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 76 76 76 76 76
## [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 77 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 77 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 79 79 79 79 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 80 80 80 80 80 80 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 81 81 81 81 81 81 81 81 81 81 81 81 81
## [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 82 82 82 82 82 82 82 82 82 82 82 82
## [397] 82 82 82 82 82 82 82 82 82 82 82 82 82 82 82 82 82 82
## [415] 82 82 82 82 82 82 82 83 83 83 83 83 83 83 83 83 83 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 84 84 84 84 84 84 84 84 84
## [469] 84 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 85 85 85 85 85 85 85
## [505] 85 85 85 85 85 85 85 85 85 85 85 85 86 86 86 86 86 86
## [523] 86 86 86 86 86 86 86 86 86 86 86 86 86 86 86 86 86 86
## [541] 86 86 86 87 87 87 87 87 87 87 87 87 87 87 87 87 87 87
## [559] 87 87 87 87 87 87 87 87 87 87 87 87 87 87 87 87 88 88
## [577] 88 88 88 88 88 88 88 88 88 88 88 88 88 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 89 89 89 89 89 89 89 89 89 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 90 90 90 90 90 90 90 90 90 90 90 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 91 91 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 91 91 91 91 91 91 91 91 91 92
## [739] 92 92 92 92 92 92 92 92 92 92 92 92 92 92 92 92 92 92
## [757] 92 92 92 92 92 92 92 92 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] 94 94 94 94 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 94 94 95 95 95 95 95 95 95 95 95 95 95 95 95
## [847] 95 95 95 95 95 95 95 95 96 96 96 96 96 96 96 96 96 96
## [865] 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96
## [883] 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97 97
## [901] 97 97 97 97 97 97 97 97 98 98 98 98 98 98 98 98 98 98
## [919] 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98 98
## [937] 98 98 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99 99
## [955] 99 99 99 99 99 100 100 100 100 100 100 100 100 100 100 100 100 100
## [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
#Encontrar número de elementos n, valores máximos y míximos , rango y amplitud del rango de la muestra
n <- length(datos)
n
## [1] 1000
#valor maximo y minimo de los datos
max(datos)
## [1] 100
min(datos)
## [1] 70
#rango de los datos
rango <- range(datos)
rango
## [1] 70 100
#amplitud
amplitud <- diff(rango)
amplitud
## [1] 30
#Determinar número de intervalos igual a 5
nointervalos <- 5
rangointervalos <- amplitud / nointervalos
rangointervalos
## [1] 6
#Mostrar tabla de frecuencia de datos agrupados
tabla.intervalos <- transform(table(cut(datos, breaks = 5)))
tabla.intervalos
## Var1 Freq
## 1 (70,76] 228
## 2 (76,82] 193
## 3 (82,88] 194
## 4 (88,94] 218
## 5 (94,100] 167
#Graficar la tabla de frecuencia utilizando la función plot
plot(tabla.intervalos, main = "¿De cuál intervalo hay más y menos elementos?")
#¿De manera mantemática sugiere los intérvalos y las amplitudes de cada intervalo ¿Cuáles intérvalos genra? ¿cual es la amplitud de cada intérvalo?
1 + 3.3222* (log10(n))
## [1] 10.9666
nointervalos <- nclass.Sturges(datos)
nointervalos
## [1] 11
cut(datos, breaks = nointervalos)
## [1] (78.2,80.9] (91.8,94.5] (80.9,83.6] (80.9,83.6] (86.4,89.1] (97.3,100]
## [7] (86.4,89.1] (86.4,89.1] (94.5,97.3] (75.5,78.2] (75.5,78.2] (83.6,86.4]
## [13] (94.5,97.3] (70,72.7] (83.6,86.4] (70,72.7] (97.3,100] (94.5,97.3]
## [19] (89.1,91.8] (80.9,83.6] (80.9,83.6] (89.1,91.8] (70,72.7] (70,72.7]
## [25] (75.5,78.2] (91.8,94.5] (89.1,91.8] (86.4,89.1] (72.7,75.5] (91.8,94.5]
## [31] (89.1,91.8] (94.5,97.3] (91.8,94.5] (75.5,78.2] (72.7,75.5] (91.8,94.5]
## [37] (72.7,75.5] (91.8,94.5] (83.6,86.4] (89.1,91.8] (91.8,94.5] (97.3,100]
## [43] (75.5,78.2] (72.7,75.5] (70,72.7] (91.8,94.5] (80.9,83.6] (80.9,83.6]
## [49] (91.8,94.5] (70,72.7] (83.6,86.4] (86.4,89.1] (78.2,80.9] (89.1,91.8]
## [55] (70,72.7] (91.8,94.5] (91.8,94.5] (72.7,75.5] (86.4,89.1] (80.9,83.6]
## [61] (91.8,94.5] (83.6,86.4] (75.5,78.2] (72.7,75.5] (83.6,86.4] (75.5,78.2]
## [67] (70,72.7] (78.2,80.9] (89.1,91.8] (80.9,83.6] (83.6,86.4] (94.5,97.3]
## [73] (72.7,75.5] (97.3,100] (91.8,94.5] (97.3,100] (91.8,94.5] (97.3,100]
## [79] (86.4,89.1] (83.6,86.4] (75.5,78.2] (70,72.7] (70,72.7] (72.7,75.5]
## [85] (78.2,80.9] (94.5,97.3] (72.7,75.5] (75.5,78.2] (75.5,78.2] (80.9,83.6]
## [91] (80.9,83.6] (75.5,78.2] (94.5,97.3] (91.8,94.5] (91.8,94.5] (80.9,83.6]
## [97] (70,72.7] (83.6,86.4] (97.3,100] (70,72.7] (72.7,75.5] (72.7,75.5]
## [103] (97.3,100] (80.9,83.6] (78.2,80.9] (97.3,100] (72.7,75.5] (70,72.7]
## [109] (80.9,83.6] (80.9,83.6] (72.7,75.5] (75.5,78.2] (80.9,83.6] (89.1,91.8]
## [115] (80.9,83.6] (94.5,97.3] (72.7,75.5] (94.5,97.3] (78.2,80.9] (97.3,100]
## [121] (86.4,89.1] (72.7,75.5] (91.8,94.5] (72.7,75.5] (83.6,86.4] (70,72.7]
## [127] (97.3,100] (94.5,97.3] (97.3,100] (91.8,94.5] (75.5,78.2] (75.5,78.2]
## [133] (89.1,91.8] (89.1,91.8] (91.8,94.5] (97.3,100] (75.5,78.2] (80.9,83.6]
## [139] (97.3,100] (86.4,89.1] (86.4,89.1] (80.9,83.6] (97.3,100] (72.7,75.5]
## [145] (72.7,75.5] (80.9,83.6] (70,72.7] (72.7,75.5] (70,72.7] (83.6,86.4]
## [151] (70,72.7] (94.5,97.3] (94.5,97.3] (91.8,94.5] (78.2,80.9] (89.1,91.8]
## [157] (72.7,75.5] (83.6,86.4] (83.6,86.4] (80.9,83.6] (78.2,80.9] (72.7,75.5]
## [163] (78.2,80.9] (97.3,100] (86.4,89.1] (94.5,97.3] (75.5,78.2] (89.1,91.8]
## [169] (86.4,89.1] (70,72.7] (72.7,75.5] (83.6,86.4] (70,72.7] (78.2,80.9]
## [175] (70,72.7] (89.1,91.8] (70,72.7] (91.8,94.5] (97.3,100] (97.3,100]
## [181] (94.5,97.3] (83.6,86.4] (91.8,94.5] (97.3,100] (86.4,89.1] (89.1,91.8]
## [187] (97.3,100] (70,72.7] (89.1,91.8] (78.2,80.9] (97.3,100] (75.5,78.2]
## [193] (75.5,78.2] (83.6,86.4] (91.8,94.5] (75.5,78.2] (80.9,83.6] (89.1,91.8]
## [199] (86.4,89.1] (97.3,100] (86.4,89.1] (75.5,78.2] (80.9,83.6] (83.6,86.4]
## [205] (80.9,83.6] (91.8,94.5] (83.6,86.4] (72.7,75.5] (80.9,83.6] (89.1,91.8]
## [211] (91.8,94.5] (86.4,89.1] (91.8,94.5] (72.7,75.5] (91.8,94.5] (83.6,86.4]
## [217] (89.1,91.8] (80.9,83.6] (70,72.7] (86.4,89.1] (70,72.7] (86.4,89.1]
## [223] (75.5,78.2] (97.3,100] (91.8,94.5] (91.8,94.5] (97.3,100] (75.5,78.2]
## [229] (83.6,86.4] (86.4,89.1] (80.9,83.6] (97.3,100] (91.8,94.5] (97.3,100]
## [235] (86.4,89.1] (70,72.7] (97.3,100] (94.5,97.3] (80.9,83.6] (78.2,80.9]
## [241] (80.9,83.6] (97.3,100] (70,72.7] (75.5,78.2] (91.8,94.5] (89.1,91.8]
## [247] (86.4,89.1] (72.7,75.5] (97.3,100] (78.2,80.9] (78.2,80.9] (94.5,97.3]
## [253] (83.6,86.4] (80.9,83.6] (83.6,86.4] (97.3,100] (94.5,97.3] (80.9,83.6]
## [259] (89.1,91.8] (94.5,97.3] (94.5,97.3] (72.7,75.5] (78.2,80.9] (94.5,97.3]
## [265] (70,72.7] (75.5,78.2] (97.3,100] (80.9,83.6] (86.4,89.1] (80.9,83.6]
## [271] (75.5,78.2] (91.8,94.5] (97.3,100] (94.5,97.3] (75.5,78.2] (94.5,97.3]
## [277] (80.9,83.6] (80.9,83.6] (91.8,94.5] (94.5,97.3] (86.4,89.1] (78.2,80.9]
## [283] (72.7,75.5] (75.5,78.2] (83.6,86.4] (70,72.7] (83.6,86.4] (94.5,97.3]
## [289] (72.7,75.5] (94.5,97.3] (75.5,78.2] (75.5,78.2] (72.7,75.5] (91.8,94.5]
## [295] (75.5,78.2] (72.7,75.5] (83.6,86.4] (72.7,75.5] (78.2,80.9] (80.9,83.6]
## [301] (72.7,75.5] (86.4,89.1] (75.5,78.2] (80.9,83.6] (89.1,91.8] (78.2,80.9]
## [307] (70,72.7] (94.5,97.3] (83.6,86.4] (91.8,94.5] (91.8,94.5] (80.9,83.6]
## [313] (80.9,83.6] (78.2,80.9] (86.4,89.1] (89.1,91.8] (72.7,75.5] (80.9,83.6]
## [319] (97.3,100] (80.9,83.6] (72.7,75.5] (94.5,97.3] (89.1,91.8] (72.7,75.5]
## [325] (97.3,100] (91.8,94.5] (75.5,78.2] (72.7,75.5] (91.8,94.5] (80.9,83.6]
## [331] (70,72.7] (86.4,89.1] (89.1,91.8] (97.3,100] (86.4,89.1] (72.7,75.5]
## [337] (91.8,94.5] (83.6,86.4] (89.1,91.8] (70,72.7] (72.7,75.5] (75.5,78.2]
## [343] (80.9,83.6] (83.6,86.4] (70,72.7] (97.3,100] (72.7,75.5] (86.4,89.1]
## [349] (86.4,89.1] (91.8,94.5] (80.9,83.6] (72.7,75.5] (80.9,83.6] (91.8,94.5]
## [355] (78.2,80.9] (89.1,91.8] (70,72.7] (70,72.7] (97.3,100] (80.9,83.6]
## [361] (83.6,86.4] (97.3,100] (72.7,75.5] (75.5,78.2] (89.1,91.8] (86.4,89.1]
## [367] (70,72.7] (86.4,89.1] (94.5,97.3] (78.2,80.9] (72.7,75.5] (86.4,89.1]
## [373] (75.5,78.2] (70,72.7] (97.3,100] (94.5,97.3] (86.4,89.1] (86.4,89.1]
## [379] (89.1,91.8] (91.8,94.5] (86.4,89.1] (83.6,86.4] (83.6,86.4] (75.5,78.2]
## [385] (97.3,100] (94.5,97.3] (75.5,78.2] (83.6,86.4] (91.8,94.5] (72.7,75.5]
## [391] (78.2,80.9] (83.6,86.4] (72.7,75.5] (78.2,80.9] (97.3,100] (72.7,75.5]
## [397] (80.9,83.6] (91.8,94.5] (78.2,80.9] (80.9,83.6] (89.1,91.8] (80.9,83.6]
## [403] (83.6,86.4] (80.9,83.6] (75.5,78.2] (86.4,89.1] (78.2,80.9] (91.8,94.5]
## [409] (83.6,86.4] (86.4,89.1] (86.4,89.1] (83.6,86.4] (72.7,75.5] (70,72.7]
## [415] (97.3,100] (78.2,80.9] (72.7,75.5] (89.1,91.8] (80.9,83.6] (72.7,75.5]
## [421] (72.7,75.5] (70,72.7] (89.1,91.8] (91.8,94.5] (83.6,86.4] (86.4,89.1]
## [427] (97.3,100] (70,72.7] (72.7,75.5] (78.2,80.9] (86.4,89.1] (75.5,78.2]
## [433] (86.4,89.1] (97.3,100] (80.9,83.6] (89.1,91.8] (83.6,86.4] (86.4,89.1]
## [439] (86.4,89.1] (89.1,91.8] (86.4,89.1] (83.6,86.4] (72.7,75.5] (70,72.7]
## [445] (97.3,100] (70,72.7] (80.9,83.6] (72.7,75.5] (91.8,94.5] (91.8,94.5]
## [451] (70,72.7] (94.5,97.3] (72.7,75.5] (78.2,80.9] (97.3,100] (89.1,91.8]
## [457] (75.5,78.2] (94.5,97.3] (80.9,83.6] (97.3,100] (80.9,83.6] (86.4,89.1]
## [463] (91.8,94.5] (94.5,97.3] (97.3,100] (97.3,100] (89.1,91.8] (72.7,75.5]
## [469] (75.5,78.2] (86.4,89.1] (80.9,83.6] (86.4,89.1] (75.5,78.2] (75.5,78.2]
## [475] (83.6,86.4] (89.1,91.8] (70,72.7] (97.3,100] (91.8,94.5] (75.5,78.2]
## [481] (72.7,75.5] (80.9,83.6] (89.1,91.8] (86.4,89.1] (91.8,94.5] (75.5,78.2]
## [487] (70,72.7] (89.1,91.8] (75.5,78.2] (97.3,100] (86.4,89.1] (70,72.7]
## [493] (97.3,100] (94.5,97.3] (97.3,100] (86.4,89.1] (75.5,78.2] (86.4,89.1]
## [499] (89.1,91.8] (70,72.7] (83.6,86.4] (70,72.7] (83.6,86.4] (75.5,78.2]
## [505] (78.2,80.9] (97.3,100] (80.9,83.6] (97.3,100] (94.5,97.3] (86.4,89.1]
## [511] (91.8,94.5] (70,72.7] (91.8,94.5] (72.7,75.5] (86.4,89.1] (89.1,91.8]
## [517] (78.2,80.9] (91.8,94.5] (86.4,89.1] (97.3,100] (78.2,80.9] (72.7,75.5]
## [523] (70,72.7] (83.6,86.4] (86.4,89.1] (97.3,100] (70,72.7] (70,72.7]
## [529] (72.7,75.5] (80.9,83.6] (97.3,100] (78.2,80.9] (78.2,80.9] (83.6,86.4]
## [535] (75.5,78.2] (97.3,100] (86.4,89.1] (70,72.7] (86.4,89.1] (83.6,86.4]
## [541] (94.5,97.3] (70,72.7] (94.5,97.3] (91.8,94.5] (75.5,78.2] (94.5,97.3]
## [547] (89.1,91.8] (72.7,75.5] (72.7,75.5] (70,72.7] (70,72.7] (75.5,78.2]
## [553] (78.2,80.9] (80.9,83.6] (91.8,94.5] (78.2,80.9] (75.5,78.2] (89.1,91.8]
## [559] (89.1,91.8] (75.5,78.2] (78.2,80.9] (94.5,97.3] (72.7,75.5] (72.7,75.5]
## [565] (72.7,75.5] (86.4,89.1] (86.4,89.1] (80.9,83.6] (89.1,91.8] (94.5,97.3]
## [571] (75.5,78.2] (80.9,83.6] (91.8,94.5] (75.5,78.2] (83.6,86.4] (78.2,80.9]
## [577] (89.1,91.8] (75.5,78.2] (75.5,78.2] (72.7,75.5] (78.2,80.9] (78.2,80.9]
## [583] (80.9,83.6] (80.9,83.6] (94.5,97.3] (83.6,86.4] (83.6,86.4] (89.1,91.8]
## [589] (72.7,75.5] (80.9,83.6] (86.4,89.1] (83.6,86.4] (91.8,94.5] (91.8,94.5]
## [595] (94.5,97.3] (89.1,91.8] (86.4,89.1] (83.6,86.4] (86.4,89.1] (72.7,75.5]
## [601] (94.5,97.3] (78.2,80.9] (72.7,75.5] (91.8,94.5] (83.6,86.4] (86.4,89.1]
## [607] (70,72.7] (91.8,94.5] (89.1,91.8] (86.4,89.1] (80.9,83.6] (83.6,86.4]
## [613] (86.4,89.1] (72.7,75.5] (78.2,80.9] (94.5,97.3] (70,72.7] (80.9,83.6]
## [619] (94.5,97.3] (70,72.7] (89.1,91.8] (78.2,80.9] (78.2,80.9] (72.7,75.5]
## [625] (78.2,80.9] (97.3,100] (75.5,78.2] (94.5,97.3] (86.4,89.1] (86.4,89.1]
## [631] (83.6,86.4] (80.9,83.6] (78.2,80.9] (70,72.7] (97.3,100] (83.6,86.4]
## [637] (91.8,94.5] (94.5,97.3] (78.2,80.9] (70,72.7] (89.1,91.8] (86.4,89.1]
## [643] (70,72.7] (94.5,97.3] (97.3,100] (72.7,75.5] (94.5,97.3] (89.1,91.8]
## [649] (86.4,89.1] (94.5,97.3] (94.5,97.3] (86.4,89.1] (80.9,83.6] (91.8,94.5]
## [655] (80.9,83.6] (75.5,78.2] (97.3,100] (70,72.7] (78.2,80.9] (78.2,80.9]
## [661] (94.5,97.3] (75.5,78.2] (91.8,94.5] (91.8,94.5] (80.9,83.6] (91.8,94.5]
## [667] (70,72.7] (94.5,97.3] (89.1,91.8] (83.6,86.4] (80.9,83.6] (75.5,78.2]
## [673] (86.4,89.1] (97.3,100] (80.9,83.6] (91.8,94.5] (97.3,100] (75.5,78.2]
## [679] (89.1,91.8] (91.8,94.5] (97.3,100] (86.4,89.1] (86.4,89.1] (89.1,91.8]
## [685] (78.2,80.9] (86.4,89.1] (72.7,75.5] (80.9,83.6] (89.1,91.8] (91.8,94.5]
## [691] (94.5,97.3] (75.5,78.2] (75.5,78.2] (89.1,91.8] (97.3,100] (72.7,75.5]
## [697] (86.4,89.1] (89.1,91.8] (94.5,97.3] (83.6,86.4] (72.7,75.5] (80.9,83.6]
## [703] (72.7,75.5] (72.7,75.5] (94.5,97.3] (80.9,83.6] (83.6,86.4] (75.5,78.2]
## [709] (75.5,78.2] (80.9,83.6] (97.3,100] (86.4,89.1] (70,72.7] (80.9,83.6]
## [715] (80.9,83.6] (83.6,86.4] (86.4,89.1] (78.2,80.9] (78.2,80.9] (80.9,83.6]
## [721] (91.8,94.5] (83.6,86.4] (75.5,78.2] (80.9,83.6] (83.6,86.4] (75.5,78.2]
## [727] (75.5,78.2] (89.1,91.8] (83.6,86.4] (86.4,89.1] (72.7,75.5] (70,72.7]
## [733] (75.5,78.2] (80.9,83.6] (91.8,94.5] (94.5,97.3] (94.5,97.3] (80.9,83.6]
## [739] (70,72.7] (72.7,75.5] (78.2,80.9] (97.3,100] (89.1,91.8] (75.5,78.2]
## [745] (91.8,94.5] (97.3,100] (89.1,91.8] (75.5,78.2] (75.5,78.2] (75.5,78.2]
## [751] (86.4,89.1] (83.6,86.4] (80.9,83.6] (80.9,83.6] (70,72.7] (80.9,83.6]
## [757] (91.8,94.5] (91.8,94.5] (75.5,78.2] (91.8,94.5] (70,72.7] (89.1,91.8]
## [763] (80.9,83.6] (89.1,91.8] (89.1,91.8] (86.4,89.1] (86.4,89.1] (89.1,91.8]
## [769] (72.7,75.5] (72.7,75.5] (86.4,89.1] (91.8,94.5] (89.1,91.8] (83.6,86.4]
## [775] (89.1,91.8] (72.7,75.5] (94.5,97.3] (75.5,78.2] (94.5,97.3] (78.2,80.9]
## [781] (94.5,97.3] (70,72.7] (89.1,91.8] (83.6,86.4] (91.8,94.5] (97.3,100]
## [787] (97.3,100] (97.3,100] (94.5,97.3] (70,72.7] (86.4,89.1] (86.4,89.1]
## [793] (80.9,83.6] (83.6,86.4] (86.4,89.1] (94.5,97.3] (83.6,86.4] (75.5,78.2]
## [799] (91.8,94.5] (70,72.7] (70,72.7] (86.4,89.1] (80.9,83.6] (91.8,94.5]
## [805] (70,72.7] (89.1,91.8] (86.4,89.1] (72.7,75.5] (97.3,100] (80.9,83.6]
## [811] (70,72.7] (75.5,78.2] (86.4,89.1] (91.8,94.5] (80.9,83.6] (70,72.7]
## [817] (83.6,86.4] (86.4,89.1] (83.6,86.4] (89.1,91.8] (97.3,100] (75.5,78.2]
## [823] (83.6,86.4] (75.5,78.2] (80.9,83.6] (97.3,100] (91.8,94.5] (89.1,91.8]
## [829] (78.2,80.9] (89.1,91.8] (80.9,83.6] (70,72.7] (89.1,91.8] (70,72.7]
## [835] (72.7,75.5] (72.7,75.5] (89.1,91.8] (86.4,89.1] (91.8,94.5] (70,72.7]
## [841] (86.4,89.1] (83.6,86.4] (80.9,83.6] (89.1,91.8] (80.9,83.6] (97.3,100]
## [847] (94.5,97.3] (72.7,75.5] (72.7,75.5] (75.5,78.2] (75.5,78.2] (86.4,89.1]
## [853] (86.4,89.1] (72.7,75.5] (70,72.7] (91.8,94.5] (97.3,100] (83.6,86.4]
## [859] (89.1,91.8] (89.1,91.8] (78.2,80.9] (78.2,80.9] (97.3,100] (72.7,75.5]
## [865] (97.3,100] (94.5,97.3] (97.3,100] (91.8,94.5] (75.5,78.2] (83.6,86.4]
## [871] (89.1,91.8] (70,72.7] (86.4,89.1] (70,72.7] (80.9,83.6] (86.4,89.1]
## [877] (80.9,83.6] (83.6,86.4] (86.4,89.1] (94.5,97.3] (72.7,75.5] (70,72.7]
## [883] (80.9,83.6] (86.4,89.1] (97.3,100] (94.5,97.3] (80.9,83.6] (86.4,89.1]
## [889] (91.8,94.5] (89.1,91.8] (70,72.7] (75.5,78.2] (86.4,89.1] (86.4,89.1]
## [895] (91.8,94.5] (75.5,78.2] (97.3,100] (97.3,100] (80.9,83.6] (86.4,89.1]
## [901] (70,72.7] (97.3,100] (91.8,94.5] (83.6,86.4] (78.2,80.9] (72.7,75.5]
## [907] (70,72.7] (97.3,100] (89.1,91.8] (72.7,75.5] (70,72.7] (86.4,89.1]
## [913] (86.4,89.1] (80.9,83.6] (94.5,97.3] (89.1,91.8] (75.5,78.2] (80.9,83.6]
## [919] (83.6,86.4] (80.9,83.6] (80.9,83.6] (70,72.7] (78.2,80.9] (91.8,94.5]
## [925] (89.1,91.8] (97.3,100] (91.8,94.5] (72.7,75.5] (89.1,91.8] (91.8,94.5]
## [931] (70,72.7] (72.7,75.5] (83.6,86.4] (78.2,80.9] (94.5,97.3] (80.9,83.6]
## [937] (97.3,100] (70,72.7] (94.5,97.3] (80.9,83.6] (94.5,97.3] (86.4,89.1]
## [943] (75.5,78.2] (97.3,100] (75.5,78.2] (94.5,97.3] (83.6,86.4] (80.9,83.6]
## [949] (80.9,83.6] (70,72.7] (97.3,100] (83.6,86.4] (97.3,100] (91.8,94.5]
## [955] (83.6,86.4] (83.6,86.4] (70,72.7] (78.2,80.9] (86.4,89.1] (80.9,83.6]
## [961] (89.1,91.8] (91.8,94.5] (80.9,83.6] (78.2,80.9] (72.7,75.5] (83.6,86.4]
## [967] (70,72.7] (78.2,80.9] (75.5,78.2] (80.9,83.6] (86.4,89.1] (78.2,80.9]
## [973] (91.8,94.5] (94.5,97.3] (80.9,83.6] (94.5,97.3] (91.8,94.5] (80.9,83.6]
## [979] (91.8,94.5] (86.4,89.1] (83.6,86.4] (72.7,75.5] (70,72.7] (70,72.7]
## [985] (78.2,80.9] (72.7,75.5] (97.3,100] (91.8,94.5] (72.7,75.5] (83.6,86.4]
## [991] (75.5,78.2] (72.7,75.5] (72.7,75.5] (83.6,86.4] (86.4,89.1] (86.4,89.1]
## [997] (89.1,91.8] (94.5,97.3] (72.7,75.5] (86.4,89.1]
## 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)))
tabla.intervalos
## Var1 Freq
## 1 (70,72.7] 94
## 2 (72.7,75.5] 99
## 3 (75.5,78.2] 90
## 4 (78.2,80.9] 64
## 5 (80.9,83.6] 112
## 6 (83.6,86.4] 84
## 7 (86.4,89.1] 110
## 8 (89.1,91.8] 84
## 9 (91.8,94.5] 96
## 10 (94.5,97.3] 75
## 11 (97.3,100] 92
pie(tabla.intervalos$Freq, labels = paste(tabla.intervalos$Var1, " - ", tabla.intervalos$Freq), main = "¿De cuál intervalo hay más y menos elementos?. Sturges")