1. distribución normal

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  • 7/23/2019 1. Distribucin Normal

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    Resultados

    Ajuste de una serie de datos a la distribucin normal

    Serie de datos X:

    ----------------------------------------N X----------------------------------------1 25.432 .!43 .154 .3!5 1".3!# !.4" !.!#! 12.$"" 14.$1$ 24.4

    11 2$.$12 31.513 25.214 2$.215 32.41# 2$.51 1".21! 1"."1" 3!.32$ 25.!421 1!2.122 15.2323 1.$

    24 23.325 4#."2# 1".42 23.22! .2" 14.13$ 1$.#31 22.232 13.!33 33.#34 22.35 23.33# 42.5

    3 3.53! 22.$3" 33.#4$ 32.441 2!.!42 23.143 32.$44 1".#45 31."4# 31."

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    4 1#."----------------------------------------

    %&lculos del ajuste Smirno' (olmo)oro':

    ---------------------------------------------------------------------------------------------------------------------------------- m X *+X, +, /rdinario +, 0om ineal elta---------------------------------------------------------------------------------------------------------------------------------- 1 .15 $.$2$! $.22"5 $.112! $.$"2$

    2 .3! $.$41 $.2322 $.115 $.$4$3 . $.$#25 $.23#1 $.11"! $.$534 .!4 $.$!33 $.23! $.121# $.$3!35 !.4" $.1$42 $.245! $.13$3 $.$2#1# !.!# $.125$ $.25$5 $.1355 $.$1$5 1$.# $.145! $.22" $.1#15 $.$15! 12.$" $.1## $.2"2! $.1!#2 $.$1"#

    " 13.! $.1!5 $.31#5 $.213 $.$2"!1$ 14.$ $.2$!3 $.32$3 $.2225 $.$14211 14.1 $.22"2 $.32$ $.2231 $.$$#112 15.23 $.25$$ $.33#" $.2455 $.$$4513 1#." $.2$! $.35" $.2!4 $.$$514 1.$ $.2"1 $.3#2! $.2!2" $.$$!15 1".2 $.3125 $.3"5" $.333$ $.$2$51# 1".3! $.3333 $.3"! $.332 $.$$3"1 1".4 $.3542 $.3""$ $.33 $.$1#51! 1".# $.35$ $.4$2$ $.3424 $.$32#1" 1"." $.3"5! $.4$## $.34"# $.$4#32$ 2$.$ $.41# $.4$!2 $.352$ $.$#421 2$.2 $.435 $.4112 $.35#! $.$!$

    22 2$.5 $.45!3 $.415" $.3#41 $.$"4323 22.$ $.4"2 $.43"1 $.4$11 $.$!124 22.2 $.5$$$ $.4423 $.4$#1 $.$"3"25 22. $.52$! $.45$1 $.41! $.1$212# 23.1 $.541 $.45#3 $.42!! $.112!2 23.2 $.5#25 $.45" $.4314 $.13112! 23.3 $.5!33 $.45"5 $.433" $.14"42" 23.3 $.#$42 $.45"5 $.433" $.1$33$ 24.4 $.#25$ $.4#! $.4#21 $.1#2"31 25.2 $.#45! $.4!"4 $.4!2 $.1#3232 25.43 $.### $.4"3$ $.4!!# $.1!133 25.!4 $.#!5 $.4""5 $.4""2 $.1!!334 2!.! $.$!3 $.54#1 $.552 $.1332

    35 31.5 $.2"2 $.5!!1 $.#422 $.$!$3# 31." $.5$$ $.5"43 $.#51! $.$"!23 31." $.$! $.5"43 $.#51! $.11"$3! 32.$ $."1 $.5"5! $.#542 $.1353" 32.4 $.!125 $.#$1" $.##3 $.14!!4$ 32.4 $.!333 $.#$1" $.##3 $.1#"41 33.# $.!542 $.#2$1 $.#"15 $.1#2#42 33.# $.!5$ $.#2$1 $.#"15 $.1!3543 3.5 $.!"5! $.#3 $.41 $.12144 3!.3 $."1# $.#!!5 $.!"4 $.123

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    45 42.5 $."35 $.44 $.!5"1 $.$!44# 4#." $."5!3 $."3 $."132 $.$4514 1!2.1 $.""2 1.$$$$ 1.$$$$ $.$2$!

    ----------------------------------------------------------------------------------------------------------------------------------

    -------------------------------------------------------Ajuste con momentos lineales:-------------------------------------------------------%omo el delta terico $.1!!3 es menor ue el delta tabular $.1"!4. os datos se ajustan a ladistribucin Normal con un ni'el de si)niicacin del 56

    -------------------------------------------------------*ar&metros de la distribucin normal:-------------------------------------------------------%on momentos ordinarios:*ar&metro de locali7acin +Xm,8 25.!15*ar&metro de escala +S,8 25.2

    %on momentos lineales:

    0edia lineal +Xl,8 25.!15es'iacin est&ndar lineal +Sl,8 15.4515

    ------------------------------%audal de dise9o:------------------------------l caudal de dise9o ;ara un ;eriodo de retorno de 2 a9os es 25.!