Fórmula: K=1+3.322(log N) /* Logaritmo de base 10 */
1 + 3.3222* (log10(n))
## [1] 10.9666
nointervalos <- nclass.Sturges(muestra)
nointervalos
## [1] 11
cut(muestra, breaks = nointervalos)
## [1] (97.3,100] (75.5,78.2] (78.2,80.9] (97.3,100] (70,72.7] (80.9,83.6]
## [7] (94.5,97.3] (70,72.7] (78.2,80.9] (86.4,89.1] (97.3,100] (91.8,94.5]
## [13] (94.5,97.3] (83.6,86.4] (80.9,83.6] (80.9,83.6] (72.7,75.5] (72.7,75.5]
## [19] (78.2,80.9] (72.7,75.5] (86.4,89.1] (89.1,91.8] (94.5,97.3] (97.3,100]
## [25] (83.6,86.4] (97.3,100] (83.6,86.4] (83.6,86.4] (75.5,78.2] (70,72.7]
## [31] (70,72.7] (91.8,94.5] (72.7,75.5] (97.3,100] (91.8,94.5] (89.1,91.8]
## [37] (78.2,80.9] (80.9,83.6] (94.5,97.3] (75.5,78.2] (83.6,86.4] (94.5,97.3]
## [43] (83.6,86.4] (94.5,97.3] (91.8,94.5] (97.3,100] (80.9,83.6] (83.6,86.4]
## [49] (83.6,86.4] (89.1,91.8] (97.3,100] (83.6,86.4] (72.7,75.5] (78.2,80.9]
## [55] (70,72.7] (97.3,100] (72.7,75.5] (80.9,83.6] (97.3,100] (83.6,86.4]
## [61] (80.9,83.6] (91.8,94.5] (91.8,94.5] (86.4,89.1] (97.3,100] (70,72.7]
## [67] (91.8,94.5] (78.2,80.9] (70,72.7] (91.8,94.5] (72.7,75.5] (86.4,89.1]
## [73] (70,72.7] (72.7,75.5] (75.5,78.2] (70,72.7] (70,72.7] (70,72.7]
## [79] (89.1,91.8] (86.4,89.1] (70,72.7] (97.3,100] (80.9,83.6] (86.4,89.1]
## [85] (91.8,94.5] (91.8,94.5] (94.5,97.3] (91.8,94.5] (80.9,83.6] (94.5,97.3]
## [91] (83.6,86.4] (70,72.7] (80.9,83.6] (83.6,86.4] (80.9,83.6] (86.4,89.1]
## [97] (94.5,97.3] (72.7,75.5] (83.6,86.4] (83.6,86.4] (97.3,100] (80.9,83.6]
## [103] (97.3,100] (97.3,100] (80.9,83.6] (70,72.7] (80.9,83.6] (86.4,89.1]
## [109] (75.5,78.2] (97.3,100] (78.2,80.9] (89.1,91.8] (80.9,83.6] (89.1,91.8]
## [115] (83.6,86.4] (94.5,97.3] (78.2,80.9] (86.4,89.1] (80.9,83.6] (86.4,89.1]
## [121] (72.7,75.5] (75.5,78.2] (89.1,91.8] (70,72.7] (97.3,100] (83.6,86.4]
## [127] (70,72.7] (78.2,80.9] (70,72.7] (83.6,86.4] (70,72.7] (94.5,97.3]
## [133] (86.4,89.1] (86.4,89.1] (86.4,89.1] (83.6,86.4] (83.6,86.4] (75.5,78.2]
## [139] (97.3,100] (91.8,94.5] (89.1,91.8] (70,72.7] (97.3,100] (86.4,89.1]
## [145] (80.9,83.6] (86.4,89.1] (83.6,86.4] (80.9,83.6] (97.3,100] (91.8,94.5]
## [151] (94.5,97.3] (91.8,94.5] (72.7,75.5] (97.3,100] (80.9,83.6] (83.6,86.4]
## [157] (89.1,91.8] (70,72.7] (78.2,80.9] (89.1,91.8] (83.6,86.4] (94.5,97.3]
## [163] (70,72.7] (91.8,94.5] (94.5,97.3] (70,72.7] (70,72.7] (80.9,83.6]
## [169] (89.1,91.8] (83.6,86.4] (91.8,94.5] (70,72.7] (94.5,97.3] (70,72.7]
## [175] (94.5,97.3] (72.7,75.5] (94.5,97.3] (94.5,97.3] (83.6,86.4] (80.9,83.6]
## [181] (86.4,89.1] (94.5,97.3] (72.7,75.5] (97.3,100] (97.3,100] (78.2,80.9]
## [187] (75.5,78.2] (94.5,97.3] (91.8,94.5] (86.4,89.1] (80.9,83.6] (94.5,97.3]
## [193] (91.8,94.5] (83.6,86.4] (94.5,97.3] (80.9,83.6] (72.7,75.5] (83.6,86.4]
## [199] (97.3,100] (75.5,78.2] (89.1,91.8] (97.3,100] (80.9,83.6] (70,72.7]
## [205] (83.6,86.4] (94.5,97.3] (80.9,83.6] (80.9,83.6] (75.5,78.2] (91.8,94.5]
## [211] (78.2,80.9] (80.9,83.6] (70,72.7] (83.6,86.4] (94.5,97.3] (89.1,91.8]
## [217] (94.5,97.3] (78.2,80.9] (86.4,89.1] (97.3,100] (75.5,78.2] (83.6,86.4]
## [223] (72.7,75.5] (75.5,78.2] (89.1,91.8] (78.2,80.9] (91.8,94.5] (83.6,86.4]
## [229] (89.1,91.8] (75.5,78.2] (75.5,78.2] (72.7,75.5] (94.5,97.3] (83.6,86.4]
## [235] (70,72.7] (86.4,89.1] (94.5,97.3] (75.5,78.2] (75.5,78.2] (91.8,94.5]
## [241] (75.5,78.2] (80.9,83.6] (75.5,78.2] (72.7,75.5] (70,72.7] (70,72.7]
## [247] (80.9,83.6] (70,72.7] (86.4,89.1] (89.1,91.8] (72.7,75.5] (80.9,83.6]
## [253] (72.7,75.5] (78.2,80.9] (94.5,97.3] (70,72.7] (75.5,78.2] (97.3,100]
## [259] (80.9,83.6] (94.5,97.3] (86.4,89.1] (80.9,83.6] (89.1,91.8] (70,72.7]
## [265] (78.2,80.9] (91.8,94.5] (83.6,86.4] (89.1,91.8] (70,72.7] (70,72.7]
## [271] (75.5,78.2] (78.2,80.9] (70,72.7] (70,72.7] (72.7,75.5] (91.8,94.5]
## [277] (91.8,94.5] (86.4,89.1] (89.1,91.8] (80.9,83.6] (78.2,80.9] (86.4,89.1]
## [283] (75.5,78.2] (86.4,89.1] (86.4,89.1] (83.6,86.4] (83.6,86.4] (80.9,83.6]
## [289] (80.9,83.6] (80.9,83.6] (97.3,100] (91.8,94.5] (86.4,89.1] (83.6,86.4]
## [295] (70,72.7] (86.4,89.1] (97.3,100] (94.5,97.3] (72.7,75.5] (70,72.7]
## [301] (80.9,83.6] (97.3,100] (94.5,97.3] (89.1,91.8] (86.4,89.1] (75.5,78.2]
## [307] (89.1,91.8] (89.1,91.8] (91.8,94.5] (91.8,94.5] (83.6,86.4] (86.4,89.1]
## [313] (70,72.7] (91.8,94.5] (83.6,86.4] (83.6,86.4] (72.7,75.5] (94.5,97.3]
## [319] (91.8,94.5] (94.5,97.3] (86.4,89.1] (86.4,89.1] (89.1,91.8] (94.5,97.3]
## [325] (72.7,75.5] (97.3,100] (72.7,75.5] (72.7,75.5] (97.3,100] (86.4,89.1]
## [331] (70,72.7] (72.7,75.5] (75.5,78.2] (72.7,75.5] (97.3,100] (91.8,94.5]
## [337] (94.5,97.3] (86.4,89.1] (91.8,94.5] (91.8,94.5] (86.4,89.1] (97.3,100]
## [343] (91.8,94.5] (97.3,100] (72.7,75.5] (97.3,100] (70,72.7] (89.1,91.8]
## [349] (83.6,86.4] (80.9,83.6] (78.2,80.9] (94.5,97.3] (83.6,86.4] (89.1,91.8]
## [355] (89.1,91.8] (86.4,89.1] (97.3,100] (91.8,94.5] (97.3,100] (75.5,78.2]
## [361] (94.5,97.3] (91.8,94.5] (86.4,89.1] (86.4,89.1] (75.5,78.2] (72.7,75.5]
## [367] (80.9,83.6] (75.5,78.2] (80.9,83.6] (94.5,97.3] (91.8,94.5] (78.2,80.9]
## [373] (80.9,83.6] (89.1,91.8] (91.8,94.5] (91.8,94.5] (86.4,89.1] (91.8,94.5]
## [379] (83.6,86.4] (91.8,94.5] (94.5,97.3] (78.2,80.9] (94.5,97.3] (91.8,94.5]
## [385] (91.8,94.5] (75.5,78.2] (83.6,86.4] (72.7,75.5] (70,72.7] (86.4,89.1]
## [391] (78.2,80.9] (80.9,83.6] (83.6,86.4] (80.9,83.6] (97.3,100] (78.2,80.9]
## [397] (94.5,97.3] (97.3,100] (97.3,100] (80.9,83.6] (83.6,86.4] (70,72.7]
## [403] (94.5,97.3] (70,72.7] (70,72.7] (80.9,83.6] (91.8,94.5] (80.9,83.6]
## [409] (70,72.7] (94.5,97.3] (86.4,89.1] (75.5,78.2] (70,72.7] (83.6,86.4]
## [415] (86.4,89.1] (75.5,78.2] (72.7,75.5] (97.3,100] (86.4,89.1] (83.6,86.4]
## [421] (72.7,75.5] (89.1,91.8] (89.1,91.8] (91.8,94.5] (91.8,94.5] (72.7,75.5]
## [427] (91.8,94.5] (70,72.7] (86.4,89.1] (83.6,86.4] (94.5,97.3] (97.3,100]
## [433] (75.5,78.2] (70,72.7] (89.1,91.8] (97.3,100] (72.7,75.5] (89.1,91.8]
## [439] (86.4,89.1] (83.6,86.4] (86.4,89.1] (75.5,78.2] (83.6,86.4] (72.7,75.5]
## [445] (70,72.7] (72.7,75.5] (94.5,97.3] (97.3,100] (91.8,94.5] (97.3,100]
## [451] (97.3,100] (94.5,97.3] (72.7,75.5] (94.5,97.3] (83.6,86.4] (83.6,86.4]
## [457] (94.5,97.3] (86.4,89.1] (89.1,91.8] (97.3,100] (75.5,78.2] (83.6,86.4]
## [463] (94.5,97.3] (75.5,78.2] (78.2,80.9] (83.6,86.4] (80.9,83.6] (94.5,97.3]
## [469] (86.4,89.1] (91.8,94.5] (70,72.7] (94.5,97.3] (80.9,83.6] (83.6,86.4]
## [475] (94.5,97.3] (91.8,94.5] (94.5,97.3] (97.3,100] (70,72.7] (97.3,100]
## [481] (80.9,83.6] (94.5,97.3] (86.4,89.1] (89.1,91.8] (78.2,80.9] (80.9,83.6]
## [487] (94.5,97.3] (80.9,83.6] (72.7,75.5] (72.7,75.5] (75.5,78.2] (70,72.7]
## [493] (91.8,94.5] (97.3,100] (83.6,86.4] (78.2,80.9] (72.7,75.5] (70,72.7]
## [499] (72.7,75.5] (75.5,78.2] (97.3,100] (83.6,86.4] (83.6,86.4] (80.9,83.6]
## [505] (83.6,86.4] (72.7,75.5] (75.5,78.2] (70,72.7] (91.8,94.5] (72.7,75.5]
## [511] (97.3,100] (70,72.7] (70,72.7] (75.5,78.2] (70,72.7] (80.9,83.6]
## [517] (70,72.7] (75.5,78.2] (72.7,75.5] (97.3,100] (80.9,83.6] (72.7,75.5]
## [523] (80.9,83.6] (80.9,83.6] (72.7,75.5] (83.6,86.4] (72.7,75.5] (70,72.7]
## [529] (83.6,86.4] (70,72.7] (78.2,80.9] (80.9,83.6] (97.3,100] (83.6,86.4]
## [535] (97.3,100] (86.4,89.1] (86.4,89.1] (78.2,80.9] (78.2,80.9] (97.3,100]
## [541] (80.9,83.6] (86.4,89.1] (80.9,83.6] (83.6,86.4] (80.9,83.6] (83.6,86.4]
## [547] (78.2,80.9] (94.5,97.3] (75.5,78.2] (86.4,89.1] (94.5,97.3] (97.3,100]
## [553] (72.7,75.5] (97.3,100] (83.6,86.4] (72.7,75.5] (83.6,86.4] (97.3,100]
## [559] (97.3,100] (70,72.7] (80.9,83.6] (86.4,89.1] (70,72.7] (78.2,80.9]
## [565] (75.5,78.2] (78.2,80.9] (75.5,78.2] (70,72.7] (89.1,91.8] (80.9,83.6]
## [571] (75.5,78.2] (83.6,86.4] (72.7,75.5] (91.8,94.5] (70,72.7] (75.5,78.2]
## [577] (94.5,97.3] (80.9,83.6] (89.1,91.8] (80.9,83.6] (72.7,75.5] (97.3,100]
## [583] (75.5,78.2] (70,72.7] (83.6,86.4] (70,72.7] (75.5,78.2] (75.5,78.2]
## [589] (91.8,94.5] (80.9,83.6] (83.6,86.4] (72.7,75.5] (86.4,89.1] (75.5,78.2]
## [595] (86.4,89.1] (83.6,86.4] (89.1,91.8] (83.6,86.4] (97.3,100] (91.8,94.5]
## [601] (70,72.7] (75.5,78.2] (97.3,100] (97.3,100] (97.3,100] (97.3,100]
## [607] (91.8,94.5] (80.9,83.6] (97.3,100] (89.1,91.8] (72.7,75.5] (70,72.7]
## [613] (94.5,97.3] (91.8,94.5] (78.2,80.9] (70,72.7] (83.6,86.4] (94.5,97.3]
## [619] (72.7,75.5] (70,72.7] (86.4,89.1] (94.5,97.3] (70,72.7] (91.8,94.5]
## [625] (94.5,97.3] (70,72.7] (80.9,83.6] (89.1,91.8] (86.4,89.1] (83.6,86.4]
## [631] (78.2,80.9] (89.1,91.8] (72.7,75.5] (78.2,80.9] (83.6,86.4] (80.9,83.6]
## [637] (72.7,75.5] (86.4,89.1] (70,72.7] (78.2,80.9] (94.5,97.3] (72.7,75.5]
## [643] (78.2,80.9] (94.5,97.3] (78.2,80.9] (80.9,83.6] (75.5,78.2] (72.7,75.5]
## [649] (78.2,80.9] (72.7,75.5] (89.1,91.8] (75.5,78.2] (94.5,97.3] (72.7,75.5]
## [655] (91.8,94.5] (94.5,97.3] (91.8,94.5] (72.7,75.5] (97.3,100] (80.9,83.6]
## [661] (91.8,94.5] (72.7,75.5] (78.2,80.9] (86.4,89.1] (78.2,80.9] (72.7,75.5]
## [667] (91.8,94.5] (78.2,80.9] (97.3,100] (86.4,89.1] (70,72.7] (75.5,78.2]
## [673] (89.1,91.8] (72.7,75.5] (78.2,80.9] (83.6,86.4] (89.1,91.8] (83.6,86.4]
## [679] (86.4,89.1] (91.8,94.5] (80.9,83.6] (83.6,86.4] (78.2,80.9] (80.9,83.6]
## [685] (78.2,80.9] (83.6,86.4] (94.5,97.3] (72.7,75.5] (89.1,91.8] (97.3,100]
## [691] (97.3,100] (70,72.7] (75.5,78.2] (89.1,91.8] (86.4,89.1] (94.5,97.3]
## [697] (94.5,97.3] (78.2,80.9] (89.1,91.8] (91.8,94.5] (80.9,83.6] (91.8,94.5]
## [703] (70,72.7] (78.2,80.9] (83.6,86.4] (94.5,97.3] (83.6,86.4] (75.5,78.2]
## [709] (97.3,100] (91.8,94.5] (97.3,100] (94.5,97.3] (78.2,80.9] (72.7,75.5]
## [715] (80.9,83.6] (94.5,97.3] (89.1,91.8] (89.1,91.8] (89.1,91.8] (78.2,80.9]
## [721] (94.5,97.3] (97.3,100] (86.4,89.1] (72.7,75.5] (72.7,75.5] (80.9,83.6]
## [727] (83.6,86.4] (91.8,94.5] (75.5,78.2] (94.5,97.3] (75.5,78.2] (86.4,89.1]
## [733] (86.4,89.1] (75.5,78.2] (86.4,89.1] (94.5,97.3] (91.8,94.5] (80.9,83.6]
## [739] (94.5,97.3] (78.2,80.9] (83.6,86.4] (83.6,86.4] (91.8,94.5] (78.2,80.9]
## [745] (83.6,86.4] (91.8,94.5] (83.6,86.4] (97.3,100] (83.6,86.4] (97.3,100]
## [751] (94.5,97.3] (72.7,75.5] (78.2,80.9] (86.4,89.1] (97.3,100] (94.5,97.3]
## [757] (89.1,91.8] (86.4,89.1] (78.2,80.9] (86.4,89.1] (83.6,86.4] (70,72.7]
## [763] (75.5,78.2] (94.5,97.3] (94.5,97.3] (75.5,78.2] (86.4,89.1] (97.3,100]
## [769] (83.6,86.4] (75.5,78.2] (72.7,75.5] (91.8,94.5] (80.9,83.6] (86.4,89.1]
## [775] (78.2,80.9] (75.5,78.2] (70,72.7] (70,72.7] (72.7,75.5] (83.6,86.4]
## [781] (70,72.7] (83.6,86.4] (83.6,86.4] (86.4,89.1] (75.5,78.2] (97.3,100]
## [787] (89.1,91.8] (70,72.7] (75.5,78.2] (94.5,97.3] (75.5,78.2] (97.3,100]
## [793] (86.4,89.1] (89.1,91.8] (89.1,91.8] (97.3,100] (86.4,89.1] (86.4,89.1]
## [799] (72.7,75.5] (70,72.7] (83.6,86.4] (86.4,89.1] (80.9,83.6] (72.7,75.5]
## [805] (72.7,75.5] (89.1,91.8] (91.8,94.5] (94.5,97.3] (97.3,100] (94.5,97.3]
## [811] (75.5,78.2] (94.5,97.3] (89.1,91.8] (97.3,100] (86.4,89.1] (86.4,89.1]
## [817] (97.3,100] (70,72.7] (75.5,78.2] (80.9,83.6] (72.7,75.5] (97.3,100]
## [823] (86.4,89.1] (70,72.7] (97.3,100] (97.3,100] (97.3,100] (91.8,94.5]
## [829] (83.6,86.4] (72.7,75.5] (70,72.7] (80.9,83.6] (94.5,97.3] (70,72.7]
## [835] (78.2,80.9] (80.9,83.6] (83.6,86.4] (83.6,86.4] (94.5,97.3] (97.3,100]
## [841] (86.4,89.1] (97.3,100] (78.2,80.9] (80.9,83.6] (80.9,83.6] (70,72.7]
## [847] (75.5,78.2] (80.9,83.6] (94.5,97.3] (80.9,83.6] (89.1,91.8] (72.7,75.5]
## [853] (75.5,78.2] (91.8,94.5] (70,72.7] (86.4,89.1] (89.1,91.8] (78.2,80.9]
## [859] (83.6,86.4] (78.2,80.9] (94.5,97.3] (70,72.7] (75.5,78.2] (94.5,97.3]
## [865] (91.8,94.5] (75.5,78.2] (94.5,97.3] (97.3,100] (86.4,89.1] (83.6,86.4]
## [871] (91.8,94.5] (75.5,78.2] (80.9,83.6] (75.5,78.2] (97.3,100] (86.4,89.1]
## [877] (75.5,78.2] (83.6,86.4] (86.4,89.1] (91.8,94.5] (80.9,83.6] (89.1,91.8]
## [883] (94.5,97.3] (75.5,78.2] (83.6,86.4] (70,72.7] (97.3,100] (91.8,94.5]
## [889] (72.7,75.5] (91.8,94.5] (91.8,94.5] (78.2,80.9] (70,72.7] (91.8,94.5]
## [895] (83.6,86.4] (97.3,100] (94.5,97.3] (86.4,89.1] (78.2,80.9] (72.7,75.5]
## [901] (97.3,100] (94.5,97.3] (70,72.7] (72.7,75.5] (70,72.7] (83.6,86.4]
## [907] (78.2,80.9] (94.5,97.3] (70,72.7] (72.7,75.5] (70,72.7] (94.5,97.3]
## [913] (94.5,97.3] (89.1,91.8] (75.5,78.2] (83.6,86.4] (75.5,78.2] (78.2,80.9]
## [919] (97.3,100] (86.4,89.1] (70,72.7] (91.8,94.5] (97.3,100] (89.1,91.8]
## [925] (78.2,80.9] (86.4,89.1] (70,72.7] (72.7,75.5] (89.1,91.8] (70,72.7]
## [931] (72.7,75.5] (83.6,86.4] (97.3,100] (91.8,94.5] (94.5,97.3] (91.8,94.5]
## [937] (83.6,86.4] (72.7,75.5] (89.1,91.8] (70,72.7] (78.2,80.9] (72.7,75.5]
## [943] (75.5,78.2] (75.5,78.2] (91.8,94.5] (70,72.7] (70,72.7] (75.5,78.2]
## [949] (86.4,89.1] (91.8,94.5] (89.1,91.8] (94.5,97.3] (70,72.7] (80.9,83.6]
## [955] (91.8,94.5] (97.3,100] (72.7,75.5] (72.7,75.5] (97.3,100] (80.9,83.6]
## [961] (72.7,75.5] (91.8,94.5] (70,72.7] (83.6,86.4] (86.4,89.1] (70,72.7]
## [967] (97.3,100] (86.4,89.1] (70,72.7] (72.7,75.5] (78.2,80.9] (72.7,75.5]
## [973] (78.2,80.9] (86.4,89.1] (75.5,78.2] (70,72.7] (83.6,86.4] (70,72.7]
## [979] (80.9,83.6] (94.5,97.3] (97.3,100] (89.1,91.8] (70,72.7] (75.5,78.2]
## [985] (78.2,80.9] (94.5,97.3] (83.6,86.4] (72.7,75.5] (94.5,97.3] (80.9,83.6]
## [991] (72.7,75.5] (83.6,86.4] (86.4,89.1] (97.3,100] (89.1,91.8] (70,72.7]
## [997] (94.5,97.3] (94.5,97.3] (78.2,80.9] (80.9,83.6]
## 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(muestra, breaks = nointervalos)))
tabla.intervalos
## Var1 Freq
## 1 (70,72.7] 111
## 2 (72.7,75.5] 92
## 3 (75.5,78.2] 80
## 4 (78.2,80.9] 68
## 5 (80.9,83.6] 92
## 6 (83.6,86.4] 107
## 7 (86.4,89.1] 92
## 8 (89.1,91.8] 64
## 9 (91.8,94.5] 87
## 10 (94.5,97.3] 103
## 11 (97.3,100] 104
pie(tabla.intervalos$Freq, labels = paste(tabla.intervalos$Var1, " - ", tabla.intervalos$Freq), main = "¿De cuál intervalo hay más y menos elementos?. Sturges")

En esta práctica se dio a conocer la agrupación de datos en la herramienta R, la cual facilita el proceso que implica la agrupación de datos las cuales son: ordenar, clasificar y expresar los en una tabla de frecuencias. Se agrupan los datos, esto quiere decir que se pueden clasificar de forma coherente y lógica mediante una tabla de frecuencias la cual hace más entendibles las muestras que se dan a conocer y las personas tienen a entender más. El objetivo de la agrupación de los datos es resumir la información, por lo general es de una muestra mayor a 20 datos, la agrupación puede ser de forma simple o mediante intervalos de clase.