——–

19041231 Osiris Ochoa Solis https://rpubs.com/OsirisKeton/577191

19041239 Elias Jr. Ramos Lopez https://rpubs.com/Elias_R/577286

19041216 Frida Krystel Herrera Hernández https://rpubs.com/Frida_Krys/577265

19041198 Marco Daniel De La Torre Mendia https://rpubs.com/mDaniel/577269

19041206 Irving alonso Galvan carabez https://rpubs.com/IRVING_GALVAN_CARABEZ/577289

——–
Objetivo: Generar datos agrupados, tabla de frecuencia y gráfica de los datos agrupados
Proceso:
* Identificar y mostrar datos de la muestra
* Ordenar datos y mostrar
* Encontrar número de elementos n, valores mánimos y máximos , rango y amplitud del rango de la muestra
* Determianr número de intérvalos igual a 5
* Identificar rango de cada intérvalo mediante: VALOR MINIMO / INTERVALOS
* Mostrar tabla de frecuencia de datos agrupados
* Plot o graficar tabla de ffrecuencia

Identificar datos de la muestra

 datos <- sample(70:100, 1000, replace = TRUE)
 datos
##    [1]  72  77  87  80  90  84  82  82  72  78  76  94  72  97  94  86  96  84
##   [19]  83  87  92  75  99  93  82  75  86  84  76  75  73  72  95  70  93  82
##   [37]  97  96  86  89  96  91  84  89  79  90  82  82  70  93  82  93  78  90
##   [55]  75  75  72  86  81  95  89  83  95  96  84  95  81  73  91  83  79  74
##   [73]  71  72  98 100  71  72  96  78 100  84  80  80  71  71  86  92  85  76
##   [91]  86  78  95  85  74  81  76  98  74  99  74  99  84  94  70  70  82  76
##  [109]  92  71  71  78  87  77  97  82  83  98  99  81  71  86  88  81  87  92
##  [127]  90  82  70  72  78  84  99  94  76  97  75  93  97  91  81  82  99  80
##  [145]  80  72  93  89  79  72  83  78  89  73  78  95  74  70  99  91  71  74
##  [163]  79  80  76  70  80  74  73  86  83  83  97  84  73  83  92  73  90  91
##  [181]  95  74  87  97  91  84  71  94 100  76  95  75  94  94  78  86  77  74
##  [199]  77  86  88  86  93  82  79  99  90  90  89  71  78  89  83  72  98  97
##  [217]  92  98  82  75  80  79  97  89  86  82  87  74  74  96  84  96  73  78
##  [235]  96  80  86  84  79  75  74  92  96  90  94  92  70  99  88  89  78  97
##  [253]  86  93 100  83  77  82  72  94  97  79  76  82  90  75  89  74  85  79
##  [271] 100  79  75  96  70  81  86  98  86  93  89  72  71  81  73  86  93  97
##  [289]  84  93  76  98  75  81  80  92  99  97  86  85  86  81  83  83  99  92
##  [307]  98  97  91  97  87  96  80  73  97  92  84  91  84  92  89  91  99  97
##  [325]  91  87  74  85  89  72  70  93  88  80  91  94  81  76  79  86  70  82
##  [343]  88  83  98  78  83  93  71  70  70  90  93  88  77  80  71  78  78  84
##  [361]  71  87  77  72  96  86  71  73  94  72  81  83  81 100  75  70  85  73
##  [379]  97  99  83  74  78  70  95  74  80  79  76  99  73  83  89  91  88  70
##  [397]  88  74  78  88  89  86  70  88  71  92  78  93  81  70  88  74  87  89
##  [415]  71  79  95  72  98  82  84  72  78  88  88  77  73  71  89  83  77  73
##  [433]  73  95  84  75  92  71  75  70  98  78  87  86  78  88  88  70  83  74
##  [451]  73  89  94  70  82  78  71  78  89  73  95  72  89  82  93  99  75  84
##  [469]  75  99 100  76  90  86  91  76  81  77  77  89  72  81  73  76  76  97
##  [487]  81  85  70  97  96  94  89  89  92  97  94  79  73  85  71  84  89  86
##  [505]  88  87  99  95  96  89  93  84  72  84  74  80  73  80  79  76  71  97
##  [523]  91  70  97  82  75  86  72  96  81  85  80  84  92  71  89  93  98  79
##  [541]  96 100 100  95  72  86  73  85  72  71  84  75  90  84  91  72  81  83
##  [559]  71  70  76  91  84  84  92  76  94  86 100  84  74  93  94  78  70  93
##  [577]  96  89  94  71  72  79  98  83  96  88  89  97  95  89  98  77  73  95
##  [595]  90  77  89  84  74  84  86  92  93  85  87  84  84  83  71  77  81  97
##  [613]  77  94  91  73  72  94  81  73  71  76  96  83  74  85  94 100  71  70
##  [631]  85  89  92  85  79  89  90 100  74  72  76  87  77  77  76  83  90  94
##  [649]  71  97  78  71  98  89  92  93  95  76  81  78 100  74  92  78  75  87
##  [667] 100  78  78  93  88  98  96  96  72  97  83  98  74  89  79  91  86  94
##  [685]  89  84  87  93  70 100  79  99 100  90  75  97  78  77  92  83  70 100
##  [703]  87  97  75  90  72  96  99  98  72  94  84  77  76  83  92  83  82  79
##  [721]  84  70  73 100  84  74  78  87  79  88  81  73  88  76  76  88  79  99
##  [739]  79  83  71  96  86  93  83  73  95  88  80  76  80  97  86  81  82  98
##  [757]  87  78  98  88  72  79  80  88  75  90  90  86  84  72  74  74  98  79
##  [775]  90  71  81  77  78  81  81  90  75 100  81  94  81  95  71  98  86  71
##  [793]  84  76  87  87  88  94 100  83  96  98  72  97  95  98  80  88  98  78
##  [811]  95  90  82  84  70  76  74  74  96  94  92  88  93  85  86  90  74  78
##  [829]  71  76  74  92  78  82  93  91  70  78  90  75  91  76  98  95  83 100
##  [847]  89  78  87  77  87  87  71  75  71  78  93  95  95  97  79  85  80  81
##  [865]  79  72  72 100  95  99  78  79  78  91  89  83  81  98  77  74  86  86
##  [883]  97  85  86  72  71  97  92  83  99  90  76  81  83  73  88  97  74  91
##  [901]  97  78  86  70  98  91  92  75  91  73  79  89  70  88 100  77  89  97
##  [919]  99  85  88  77  73  85  90  96  86 100  87  86  80  73 100  97  77  90
##  [937]  93 100  98  74  84  99  92  84  77  80  73  99  89  77  79  81  82  87
##  [955] 100  80  97  76  87  95  96  84  84  71  89  89  86  81  97  83  95  97
##  [973]  95  72  88  94  72  92  80  95  91  91  96  83  75  88  81  79  74  74
##  [991]  93  91  77  95  83  95  95  94  81  76

Ordenar datos y mostrar

muestraord <- sort(datos)
muestraord
##    [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  71  71  71  71  71  71  71  71  71  71  71
##   [73]  71  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  72  72  72  72  72  72  72
##  [109]  72  72  72  72  73  73  73  73  73  73  73  73  73  73  73  73  73  73
##  [127]  73  73  73  73  73  73  73  73  73  73  73  73  73  73  73  73  73  73
##  [145]  74  74  74  74  74  74  74  74  74  74  74  74  74  74  74  74  74  74
##  [163]  74  74  74  74  74  74  74  74  74  74  74  74  74  74  74  74  74  74
##  [181]  74  74  75  75  75  75  75  75  75  75  75  75  75  75  75  75  75  75
##  [199]  75  75  75  75  75  75  75  75  75  75  75  75  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]  76  76  76  76  76  76  76  76  76  76  77  77  77  77  77  77  77  77
##  [253]  77  77  77  77  77  77  77  77  77  77  77  77  77  77  77  77  77  77
##  [271]  77  77  78  78  78  78  78  78  78  78  78  78  78  78  78  78  78  78
##  [289]  78  78  78  78  78  78  78  78  78  78  78  78  78  78  78  78  78  78
##  [307]  78  78  78  78  78  78  78  78  79  79  79  79  79  79  79  79  79  79
##  [325]  79  79  79  79  79  79  79  79  79  79  79  79  79  79  79  79  79  79
##  [343]  79  79  79  79  80  80  80  80  80  80  80  80  80  80  80  80  80  80
##  [361]  80  80  80  80  80  80  80  80  80  80  80  80  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  81  81  81  81  81  81  81  82  82  82  82  82  82
##  [415]  82  82  82  82  82  82  82  82  82  82  82  82  82  82  82  82  82  82
##  [433]  82  82  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  83  83  83  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  84  84  84
##  [505]  84  84  84  84  84  84  84  84  84  84  84  85  85  85  85  85  85  85
##  [523]  85  85  85  85  85  85  85  85  85  85  85  85  86  86  86  86  86  86
##  [541]  86  86  86  86  86  86  86  86  86  86  86  86  86  86  86  86  86  86
##  [559]  86  86  86  86  86  86  86  86  86  86  86  86  86  86  86  86  86  86
##  [577]  87  87  87  87  87  87  87  87  87  87  87  87  87  87  87  87  87  87
##  [595]  87  87  87  87  87  87  87  87  87  88  88  88  88  88  88  88  88  88
##  [613]  88  88  88  88  88  88  88  88  88  88  88  88  88  88  88  88  88  88
##  [631]  88  88  88  88  88  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  89  89
##  [667]  89  89  89  89  89  89  89  89  89  89  89  90  90  90  90  90  90  90
##  [685]  90  90  90  90  90  90  90  90  90  90  90  90  90  90  90  90  90  90
##  [703]  90  90  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  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  92  92  92  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  94  94
##  [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  95  95  95  95  95  95  95  95  95  95
##  [829]  95  95  95  95  95  95  95  95  95  95  95  95  95  95  95  95  95  95
##  [847]  95  95  95  95  96  96  96  96  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  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  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  98  98  98  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]  99 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100
##  [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
max(datos)
## [1] 100
min(datos)
## [1] 70
rango <- range(datos) 
rango
## [1]  70 100
amplitud <- max(datos) - min(datos)
amplitud
## [1] 30

FORMA HABITUAL PARA AGRUPAR DATOS

¿Cuántos intérvalos se quiere tener? ¿Cuántos grupos?]

* Determinar número de intervalos igual a 5

nointervalos <- 5
rangointervalos <- amplitud / nointervalos
rangointervalos
## [1] 6
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]  244
## 2  (76,82]  190
## 3  (82,88]  201
## 4  (88,94]  183
## 5 (94,100]  182
plot(tabla.intervalos, main = "¿De cuál intervalo hay más y menos elementos?")

REGLA DE STURGES.

¿De manera mantemática sugiere los intérvalos y las amplitudes de cada intervalo

¿Cuáles intérvalos genra? ¿cual es la amplitud de cada intérvalo?]

Fórmula: K=1+3.322(log N) /* Logaritmo de base 10 */

intervaloSugerido <-1 + 3.3222* (log10(n))
intervaloSugerido
## [1] 10.9666
nointervalos <- nclass.Sturges(datos)
nointervalos
## [1] 11
cut(datos, breaks = nointervalos)
##    [1] (70,72.7]   (75.5,78.2] (86.4,89.1] (78.2,80.9] (89.1,91.8] (83.6,86.4]
##    [7] (80.9,83.6] (80.9,83.6] (70,72.7]   (75.5,78.2] (75.5,78.2] (91.8,94.5]
##   [13] (70,72.7]   (94.5,97.3] (91.8,94.5] (83.6,86.4] (94.5,97.3] (83.6,86.4]
##   [19] (80.9,83.6] (86.4,89.1] (91.8,94.5] (72.7,75.5] (97.3,100]  (91.8,94.5]
##   [25] (80.9,83.6] (72.7,75.5] (83.6,86.4] (83.6,86.4] (75.5,78.2] (72.7,75.5]
##   [31] (72.7,75.5] (70,72.7]   (94.5,97.3] (70,72.7]   (91.8,94.5] (80.9,83.6]
##   [37] (94.5,97.3] (94.5,97.3] (83.6,86.4] (86.4,89.1] (94.5,97.3] (89.1,91.8]
##   [43] (83.6,86.4] (86.4,89.1] (78.2,80.9] (89.1,91.8] (80.9,83.6] (80.9,83.6]
##   [49] (70,72.7]   (91.8,94.5] (80.9,83.6] (91.8,94.5] (75.5,78.2] (89.1,91.8]
##   [55] (72.7,75.5] (72.7,75.5] (70,72.7]   (83.6,86.4] (80.9,83.6] (94.5,97.3]
##   [61] (86.4,89.1] (80.9,83.6] (94.5,97.3] (94.5,97.3] (83.6,86.4] (94.5,97.3]
##   [67] (80.9,83.6] (72.7,75.5] (89.1,91.8] (80.9,83.6] (78.2,80.9] (72.7,75.5]
##   [73] (70,72.7]   (70,72.7]   (97.3,100]  (97.3,100]  (70,72.7]   (70,72.7]  
##   [79] (94.5,97.3] (75.5,78.2] (97.3,100]  (83.6,86.4] (78.2,80.9] (78.2,80.9]
##   [85] (70,72.7]   (70,72.7]   (83.6,86.4] (91.8,94.5] (83.6,86.4] (75.5,78.2]
##   [91] (83.6,86.4] (75.5,78.2] (94.5,97.3] (83.6,86.4] (72.7,75.5] (80.9,83.6]
##   [97] (75.5,78.2] (97.3,100]  (72.7,75.5] (97.3,100]  (72.7,75.5] (97.3,100] 
##  [103] (83.6,86.4] (91.8,94.5] (70,72.7]   (70,72.7]   (80.9,83.6] (75.5,78.2]
##  [109] (91.8,94.5] (70,72.7]   (70,72.7]   (75.5,78.2] (86.4,89.1] (75.5,78.2]
##  [115] (94.5,97.3] (80.9,83.6] (80.9,83.6] (97.3,100]  (97.3,100]  (80.9,83.6]
##  [121] (70,72.7]   (83.6,86.4] (86.4,89.1] (80.9,83.6] (86.4,89.1] (91.8,94.5]
##  [127] (89.1,91.8] (80.9,83.6] (70,72.7]   (70,72.7]   (75.5,78.2] (83.6,86.4]
##  [133] (97.3,100]  (91.8,94.5] (75.5,78.2] (94.5,97.3] (72.7,75.5] (91.8,94.5]
##  [139] (94.5,97.3] (89.1,91.8] (80.9,83.6] (80.9,83.6] (97.3,100]  (78.2,80.9]
##  [145] (78.2,80.9] (70,72.7]   (91.8,94.5] (86.4,89.1] (78.2,80.9] (70,72.7]  
##  [151] (80.9,83.6] (75.5,78.2] (86.4,89.1] (72.7,75.5] (75.5,78.2] (94.5,97.3]
##  [157] (72.7,75.5] (70,72.7]   (97.3,100]  (89.1,91.8] (70,72.7]   (72.7,75.5]
##  [163] (78.2,80.9] (78.2,80.9] (75.5,78.2] (70,72.7]   (78.2,80.9] (72.7,75.5]
##  [169] (72.7,75.5] (83.6,86.4] (80.9,83.6] (80.9,83.6] (94.5,97.3] (83.6,86.4]
##  [175] (72.7,75.5] (80.9,83.6] (91.8,94.5] (72.7,75.5] (89.1,91.8] (89.1,91.8]
##  [181] (94.5,97.3] (72.7,75.5] (86.4,89.1] (94.5,97.3] (89.1,91.8] (83.6,86.4]
##  [187] (70,72.7]   (91.8,94.5] (97.3,100]  (75.5,78.2] (94.5,97.3] (72.7,75.5]
##  [193] (91.8,94.5] (91.8,94.5] (75.5,78.2] (83.6,86.4] (75.5,78.2] (72.7,75.5]
##  [199] (75.5,78.2] (83.6,86.4] (86.4,89.1] (83.6,86.4] (91.8,94.5] (80.9,83.6]
##  [205] (78.2,80.9] (97.3,100]  (89.1,91.8] (89.1,91.8] (86.4,89.1] (70,72.7]  
##  [211] (75.5,78.2] (86.4,89.1] (80.9,83.6] (70,72.7]   (97.3,100]  (94.5,97.3]
##  [217] (91.8,94.5] (97.3,100]  (80.9,83.6] (72.7,75.5] (78.2,80.9] (78.2,80.9]
##  [223] (94.5,97.3] (86.4,89.1] (83.6,86.4] (80.9,83.6] (86.4,89.1] (72.7,75.5]
##  [229] (72.7,75.5] (94.5,97.3] (83.6,86.4] (94.5,97.3] (72.7,75.5] (75.5,78.2]
##  [235] (94.5,97.3] (78.2,80.9] (83.6,86.4] (83.6,86.4] (78.2,80.9] (72.7,75.5]
##  [241] (72.7,75.5] (91.8,94.5] (94.5,97.3] (89.1,91.8] (91.8,94.5] (91.8,94.5]
##  [247] (70,72.7]   (97.3,100]  (86.4,89.1] (86.4,89.1] (75.5,78.2] (94.5,97.3]
##  [253] (83.6,86.4] (91.8,94.5] (97.3,100]  (80.9,83.6] (75.5,78.2] (80.9,83.6]
##  [259] (70,72.7]   (91.8,94.5] (94.5,97.3] (78.2,80.9] (75.5,78.2] (80.9,83.6]
##  [265] (89.1,91.8] (72.7,75.5] (86.4,89.1] (72.7,75.5] (83.6,86.4] (78.2,80.9]
##  [271] (97.3,100]  (78.2,80.9] (72.7,75.5] (94.5,97.3] (70,72.7]   (80.9,83.6]
##  [277] (83.6,86.4] (97.3,100]  (83.6,86.4] (91.8,94.5] (86.4,89.1] (70,72.7]  
##  [283] (70,72.7]   (80.9,83.6] (72.7,75.5] (83.6,86.4] (91.8,94.5] (94.5,97.3]
##  [289] (83.6,86.4] (91.8,94.5] (75.5,78.2] (97.3,100]  (72.7,75.5] (80.9,83.6]
##  [295] (78.2,80.9] (91.8,94.5] (97.3,100]  (94.5,97.3] (83.6,86.4] (83.6,86.4]
##  [301] (83.6,86.4] (80.9,83.6] (80.9,83.6] (80.9,83.6] (97.3,100]  (91.8,94.5]
##  [307] (97.3,100]  (94.5,97.3] (89.1,91.8] (94.5,97.3] (86.4,89.1] (94.5,97.3]
##  [313] (78.2,80.9] (72.7,75.5] (94.5,97.3] (91.8,94.5] (83.6,86.4] (89.1,91.8]
##  [319] (83.6,86.4] (91.8,94.5] (86.4,89.1] (89.1,91.8] (97.3,100]  (94.5,97.3]
##  [325] (89.1,91.8] (86.4,89.1] (72.7,75.5] (83.6,86.4] (86.4,89.1] (70,72.7]  
##  [331] (70,72.7]   (91.8,94.5] (86.4,89.1] (78.2,80.9] (89.1,91.8] (91.8,94.5]
##  [337] (80.9,83.6] (75.5,78.2] (78.2,80.9] (83.6,86.4] (70,72.7]   (80.9,83.6]
##  [343] (86.4,89.1] (80.9,83.6] (97.3,100]  (75.5,78.2] (80.9,83.6] (91.8,94.5]
##  [349] (70,72.7]   (70,72.7]   (70,72.7]   (89.1,91.8] (91.8,94.5] (86.4,89.1]
##  [355] (75.5,78.2] (78.2,80.9] (70,72.7]   (75.5,78.2] (75.5,78.2] (83.6,86.4]
##  [361] (70,72.7]   (86.4,89.1] (75.5,78.2] (70,72.7]   (94.5,97.3] (83.6,86.4]
##  [367] (70,72.7]   (72.7,75.5] (91.8,94.5] (70,72.7]   (80.9,83.6] (80.9,83.6]
##  [373] (80.9,83.6] (97.3,100]  (72.7,75.5] (70,72.7]   (83.6,86.4] (72.7,75.5]
##  [379] (94.5,97.3] (97.3,100]  (80.9,83.6] (72.7,75.5] (75.5,78.2] (70,72.7]  
##  [385] (94.5,97.3] (72.7,75.5] (78.2,80.9] (78.2,80.9] (75.5,78.2] (97.3,100] 
##  [391] (72.7,75.5] (80.9,83.6] (86.4,89.1] (89.1,91.8] (86.4,89.1] (70,72.7]  
##  [397] (86.4,89.1] (72.7,75.5] (75.5,78.2] (86.4,89.1] (86.4,89.1] (83.6,86.4]
##  [403] (70,72.7]   (86.4,89.1] (70,72.7]   (91.8,94.5] (75.5,78.2] (91.8,94.5]
##  [409] (80.9,83.6] (70,72.7]   (86.4,89.1] (72.7,75.5] (86.4,89.1] (86.4,89.1]
##  [415] (70,72.7]   (78.2,80.9] (94.5,97.3] (70,72.7]   (97.3,100]  (80.9,83.6]
##  [421] (83.6,86.4] (70,72.7]   (75.5,78.2] (86.4,89.1] (86.4,89.1] (75.5,78.2]
##  [427] (72.7,75.5] (70,72.7]   (86.4,89.1] (80.9,83.6] (75.5,78.2] (72.7,75.5]
##  [433] (72.7,75.5] (94.5,97.3] (83.6,86.4] (72.7,75.5] (91.8,94.5] (70,72.7]  
##  [439] (72.7,75.5] (70,72.7]   (97.3,100]  (75.5,78.2] (86.4,89.1] (83.6,86.4]
##  [445] (75.5,78.2] (86.4,89.1] (86.4,89.1] (70,72.7]   (80.9,83.6] (72.7,75.5]
##  [451] (72.7,75.5] (86.4,89.1] (91.8,94.5] (70,72.7]   (80.9,83.6] (75.5,78.2]
##  [457] (70,72.7]   (75.5,78.2] (86.4,89.1] (72.7,75.5] (94.5,97.3] (70,72.7]  
##  [463] (86.4,89.1] (80.9,83.6] (91.8,94.5] (97.3,100]  (72.7,75.5] (83.6,86.4]
##  [469] (72.7,75.5] (97.3,100]  (97.3,100]  (75.5,78.2] (89.1,91.8] (83.6,86.4]
##  [475] (89.1,91.8] (75.5,78.2] (80.9,83.6] (75.5,78.2] (75.5,78.2] (86.4,89.1]
##  [481] (70,72.7]   (80.9,83.6] (72.7,75.5] (75.5,78.2] (75.5,78.2] (94.5,97.3]
##  [487] (80.9,83.6] (83.6,86.4] (70,72.7]   (94.5,97.3] (94.5,97.3] (91.8,94.5]
##  [493] (86.4,89.1] (86.4,89.1] (91.8,94.5] (94.5,97.3] (91.8,94.5] (78.2,80.9]
##  [499] (72.7,75.5] (83.6,86.4] (70,72.7]   (83.6,86.4] (86.4,89.1] (83.6,86.4]
##  [505] (86.4,89.1] (86.4,89.1] (97.3,100]  (94.5,97.3] (94.5,97.3] (86.4,89.1]
##  [511] (91.8,94.5] (83.6,86.4] (70,72.7]   (83.6,86.4] (72.7,75.5] (78.2,80.9]
##  [517] (72.7,75.5] (78.2,80.9] (78.2,80.9] (75.5,78.2] (70,72.7]   (94.5,97.3]
##  [523] (89.1,91.8] (70,72.7]   (94.5,97.3] (80.9,83.6] (72.7,75.5] (83.6,86.4]
##  [529] (70,72.7]   (94.5,97.3] (80.9,83.6] (83.6,86.4] (78.2,80.9] (83.6,86.4]
##  [535] (91.8,94.5] (70,72.7]   (86.4,89.1] (91.8,94.5] (97.3,100]  (78.2,80.9]
##  [541] (94.5,97.3] (97.3,100]  (97.3,100]  (94.5,97.3] (70,72.7]   (83.6,86.4]
##  [547] (72.7,75.5] (83.6,86.4] (70,72.7]   (70,72.7]   (83.6,86.4] (72.7,75.5]
##  [553] (89.1,91.8] (83.6,86.4] (89.1,91.8] (70,72.7]   (80.9,83.6] (80.9,83.6]
##  [559] (70,72.7]   (70,72.7]   (75.5,78.2] (89.1,91.8] (83.6,86.4] (83.6,86.4]
##  [565] (91.8,94.5] (75.5,78.2] (91.8,94.5] (83.6,86.4] (97.3,100]  (83.6,86.4]
##  [571] (72.7,75.5] (91.8,94.5] (91.8,94.5] (75.5,78.2] (70,72.7]   (91.8,94.5]
##  [577] (94.5,97.3] (86.4,89.1] (91.8,94.5] (70,72.7]   (70,72.7]   (78.2,80.9]
##  [583] (97.3,100]  (80.9,83.6] (94.5,97.3] (86.4,89.1] (86.4,89.1] (94.5,97.3]
##  [589] (94.5,97.3] (86.4,89.1] (97.3,100]  (75.5,78.2] (72.7,75.5] (94.5,97.3]
##  [595] (89.1,91.8] (75.5,78.2] (86.4,89.1] (83.6,86.4] (72.7,75.5] (83.6,86.4]
##  [601] (83.6,86.4] (91.8,94.5] (91.8,94.5] (83.6,86.4] (86.4,89.1] (83.6,86.4]
##  [607] (83.6,86.4] (80.9,83.6] (70,72.7]   (75.5,78.2] (80.9,83.6] (94.5,97.3]
##  [613] (75.5,78.2] (91.8,94.5] (89.1,91.8] (72.7,75.5] (70,72.7]   (91.8,94.5]
##  [619] (80.9,83.6] (72.7,75.5] (70,72.7]   (75.5,78.2] (94.5,97.3] (80.9,83.6]
##  [625] (72.7,75.5] (83.6,86.4] (91.8,94.5] (97.3,100]  (70,72.7]   (70,72.7]  
##  [631] (83.6,86.4] (86.4,89.1] (91.8,94.5] (83.6,86.4] (78.2,80.9] (86.4,89.1]
##  [637] (89.1,91.8] (97.3,100]  (72.7,75.5] (70,72.7]   (75.5,78.2] (86.4,89.1]
##  [643] (75.5,78.2] (75.5,78.2] (75.5,78.2] (80.9,83.6] (89.1,91.8] (91.8,94.5]
##  [649] (70,72.7]   (94.5,97.3] (75.5,78.2] (70,72.7]   (97.3,100]  (86.4,89.1]
##  [655] (91.8,94.5] (91.8,94.5] (94.5,97.3] (75.5,78.2] (80.9,83.6] (75.5,78.2]
##  [661] (97.3,100]  (72.7,75.5] (91.8,94.5] (75.5,78.2] (72.7,75.5] (86.4,89.1]
##  [667] (97.3,100]  (75.5,78.2] (75.5,78.2] (91.8,94.5] (86.4,89.1] (97.3,100] 
##  [673] (94.5,97.3] (94.5,97.3] (70,72.7]   (94.5,97.3] (80.9,83.6] (97.3,100] 
##  [679] (72.7,75.5] (86.4,89.1] (78.2,80.9] (89.1,91.8] (83.6,86.4] (91.8,94.5]
##  [685] (86.4,89.1] (83.6,86.4] (86.4,89.1] (91.8,94.5] (70,72.7]   (97.3,100] 
##  [691] (78.2,80.9] (97.3,100]  (97.3,100]  (89.1,91.8] (72.7,75.5] (94.5,97.3]
##  [697] (75.5,78.2] (75.5,78.2] (91.8,94.5] (80.9,83.6] (70,72.7]   (97.3,100] 
##  [703] (86.4,89.1] (94.5,97.3] (72.7,75.5] (89.1,91.8] (70,72.7]   (94.5,97.3]
##  [709] (97.3,100]  (97.3,100]  (70,72.7]   (91.8,94.5] (83.6,86.4] (75.5,78.2]
##  [715] (75.5,78.2] (80.9,83.6] (91.8,94.5] (80.9,83.6] (80.9,83.6] (78.2,80.9]
##  [721] (83.6,86.4] (70,72.7]   (72.7,75.5] (97.3,100]  (83.6,86.4] (72.7,75.5]
##  [727] (75.5,78.2] (86.4,89.1] (78.2,80.9] (86.4,89.1] (80.9,83.6] (72.7,75.5]
##  [733] (86.4,89.1] (75.5,78.2] (75.5,78.2] (86.4,89.1] (78.2,80.9] (97.3,100] 
##  [739] (78.2,80.9] (80.9,83.6] (70,72.7]   (94.5,97.3] (83.6,86.4] (91.8,94.5]
##  [745] (80.9,83.6] (72.7,75.5] (94.5,97.3] (86.4,89.1] (78.2,80.9] (75.5,78.2]
##  [751] (78.2,80.9] (94.5,97.3] (83.6,86.4] (80.9,83.6] (80.9,83.6] (97.3,100] 
##  [757] (86.4,89.1] (75.5,78.2] (97.3,100]  (86.4,89.1] (70,72.7]   (78.2,80.9]
##  [763] (78.2,80.9] (86.4,89.1] (72.7,75.5] (89.1,91.8] (89.1,91.8] (83.6,86.4]
##  [769] (83.6,86.4] (70,72.7]   (72.7,75.5] (72.7,75.5] (97.3,100]  (78.2,80.9]
##  [775] (89.1,91.8] (70,72.7]   (80.9,83.6] (75.5,78.2] (75.5,78.2] (80.9,83.6]
##  [781] (80.9,83.6] (89.1,91.8] (72.7,75.5] (97.3,100]  (80.9,83.6] (91.8,94.5]
##  [787] (80.9,83.6] (94.5,97.3] (70,72.7]   (97.3,100]  (83.6,86.4] (70,72.7]  
##  [793] (83.6,86.4] (75.5,78.2] (86.4,89.1] (86.4,89.1] (86.4,89.1] (91.8,94.5]
##  [799] (97.3,100]  (80.9,83.6] (94.5,97.3] (97.3,100]  (70,72.7]   (94.5,97.3]
##  [805] (94.5,97.3] (97.3,100]  (78.2,80.9] (86.4,89.1] (97.3,100]  (75.5,78.2]
##  [811] (94.5,97.3] (89.1,91.8] (80.9,83.6] (83.6,86.4] (70,72.7]   (75.5,78.2]
##  [817] (72.7,75.5] (72.7,75.5] (94.5,97.3] (91.8,94.5] (91.8,94.5] (86.4,89.1]
##  [823] (91.8,94.5] (83.6,86.4] (83.6,86.4] (89.1,91.8] (72.7,75.5] (75.5,78.2]
##  [829] (70,72.7]   (75.5,78.2] (72.7,75.5] (91.8,94.5] (75.5,78.2] (80.9,83.6]
##  [835] (91.8,94.5] (89.1,91.8] (70,72.7]   (75.5,78.2] (89.1,91.8] (72.7,75.5]
##  [841] (89.1,91.8] (75.5,78.2] (97.3,100]  (94.5,97.3] (80.9,83.6] (97.3,100] 
##  [847] (86.4,89.1] (75.5,78.2] (86.4,89.1] (75.5,78.2] (86.4,89.1] (86.4,89.1]
##  [853] (70,72.7]   (72.7,75.5] (70,72.7]   (75.5,78.2] (91.8,94.5] (94.5,97.3]
##  [859] (94.5,97.3] (94.5,97.3] (78.2,80.9] (83.6,86.4] (78.2,80.9] (80.9,83.6]
##  [865] (78.2,80.9] (70,72.7]   (70,72.7]   (97.3,100]  (94.5,97.3] (97.3,100] 
##  [871] (75.5,78.2] (78.2,80.9] (75.5,78.2] (89.1,91.8] (86.4,89.1] (80.9,83.6]
##  [877] (80.9,83.6] (97.3,100]  (75.5,78.2] (72.7,75.5] (83.6,86.4] (83.6,86.4]
##  [883] (94.5,97.3] (83.6,86.4] (83.6,86.4] (70,72.7]   (70,72.7]   (94.5,97.3]
##  [889] (91.8,94.5] (80.9,83.6] (97.3,100]  (89.1,91.8] (75.5,78.2] (80.9,83.6]
##  [895] (80.9,83.6] (72.7,75.5] (86.4,89.1] (94.5,97.3] (72.7,75.5] (89.1,91.8]
##  [901] (94.5,97.3] (75.5,78.2] (83.6,86.4] (70,72.7]   (97.3,100]  (89.1,91.8]
##  [907] (91.8,94.5] (72.7,75.5] (89.1,91.8] (72.7,75.5] (78.2,80.9] (86.4,89.1]
##  [913] (70,72.7]   (86.4,89.1] (97.3,100]  (75.5,78.2] (86.4,89.1] (94.5,97.3]
##  [919] (97.3,100]  (83.6,86.4] (86.4,89.1] (75.5,78.2] (72.7,75.5] (83.6,86.4]
##  [925] (89.1,91.8] (94.5,97.3] (83.6,86.4] (97.3,100]  (86.4,89.1] (83.6,86.4]
##  [931] (78.2,80.9] (72.7,75.5] (97.3,100]  (94.5,97.3] (75.5,78.2] (89.1,91.8]
##  [937] (91.8,94.5] (97.3,100]  (97.3,100]  (72.7,75.5] (83.6,86.4] (97.3,100] 
##  [943] (91.8,94.5] (83.6,86.4] (75.5,78.2] (78.2,80.9] (72.7,75.5] (97.3,100] 
##  [949] (86.4,89.1] (75.5,78.2] (78.2,80.9] (80.9,83.6] (80.9,83.6] (86.4,89.1]
##  [955] (97.3,100]  (78.2,80.9] (94.5,97.3] (75.5,78.2] (86.4,89.1] (94.5,97.3]
##  [961] (94.5,97.3] (83.6,86.4] (83.6,86.4] (70,72.7]   (86.4,89.1] (86.4,89.1]
##  [967] (83.6,86.4] (80.9,83.6] (94.5,97.3] (80.9,83.6] (94.5,97.3] (94.5,97.3]
##  [973] (94.5,97.3] (70,72.7]   (86.4,89.1] (91.8,94.5] (70,72.7]   (91.8,94.5]
##  [979] (78.2,80.9] (94.5,97.3] (89.1,91.8] (89.1,91.8] (94.5,97.3] (80.9,83.6]
##  [985] (72.7,75.5] (86.4,89.1] (80.9,83.6] (78.2,80.9] (72.7,75.5] (72.7,75.5]
##  [991] (91.8,94.5] (89.1,91.8] (75.5,78.2] (94.5,97.3] (80.9,83.6] (94.5,97.3]
##  [997] (94.5,97.3] (91.8,94.5] (80.9,83.6] (75.5,78.2]
## 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]  112
## 2  (72.7,75.5]   98
## 3  (75.5,78.2]  104
## 4  (78.2,80.9]   58
## 5  (80.9,83.6]  100
## 6  (83.6,86.4]  104
## 7  (86.4,89.1]  101
## 8  (89.1,91.8]   54
## 9  (91.8,94.5]   87
## 10 (94.5,97.3]  101
## 11  (97.3,100]   81
pie(tabla.intervalos$Freq, labels = paste(tabla.intervalos$Var1, " - ", tabla.intervalos$Freq), main = "¿De cuál intervalo hay más y menos elementos?. Sturges")

——–

INTERPRETACION DE LOS DATOS

Como los datos fueron generados de manera aleatoria sin un motivo especifico no significan por si solos como tal pero el hecho de poder apreciarlos de esta manera nos permite visuzliar perfectamente un caso cuando tenemos muchos muestras.

Como nosoros tenemos muchas muestras y trabajar de manera individual con cada una de ellas seria algo muy tardo para los fines practicos que necesitamos, lo que hacemos es agrupar los datos por clases con un rango detrminado que nos permite juntar datos y manejarlos con el menor numero de variables posibles. Al dividir los datos por clases nosotros podemos hacerlo bajo nuestro propio criterio, pero lo mejor y lo mas optimo es dividir las secciones y determinar el numero de clases bajo la REGLA DE STURGES que nos permite determinar en base a N muestras cual seria el rango ideal para cada clases, dejandonos asi una forma de manejar los datos de manera comoda y sencilla, pudiendo trabajar con medidas de tendencia central sin tanta dispercion y facilitando el trabajo de interpretar los datos, ademas que permite una mejor interpretacion de los datos al tener menos variables en juego, pudiendo apreciar de manera mas sencilla los datos de manera grafica, ya que al manejarlos de manera desordenada sin una clases de por medio solo complicaria mas la utilizacion de la informacion. Es por la comodidad de esto que el dividir los datos por clases se ha vuelto algo muy recurrente, por ejemplo al agrupar a personas de cierto rango de edad para no poner todos las edades y mas cuando la variable edades no es lo mas importante, por lo que podemos inferir que el separar los datos por clases nos sirve para reducir y facilitar la informacion tanto al que maneja los datos como para el que los visualiza.

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