Elementos BsicosRegistro de la toleracia de ajuste entre dos piezas (mm)Segundo Paso: Organizar los datos en una TABLA DE FRECUENCIAS POR INTERVALOS Esta tabla sirve para contener variables Cuantitativas CotinuasVentaja: favorece la observacin de los datos y sus caractersticasDesventaja: se cambia presicin por comodidad

Toleracia (mm) XiDeterminacin de los elementos componentes de la Tabla de Frecuecias por Itervalos:Total datos (n): nmero total de respuestas10.0000325020.0005430.00082Rango (R): "distancia" mxima entre los valores extremos de la variable40.00099R = Xmx - Xmn 50.001410.0997460.0014670.00161Xmn = 0.000030.09977.=Xmx80.0017090.00277Nmero de Itervalos (m): catidad de grupos en que se dividirn los datos100.00393
Ingeniera Elctrica: Ingeniera Elctrica:Esta frmula genera gran cantidad de intervalos a medida que crece el nmero de datos n.
Ingeniera Elctrica: Ingeniera Elctrica:Esta frmula permite un crecimiento moderado del nmero de intervalos110.0046915.811398.9611608288120.00499169
Ingeniera Elctrica: Ingeniera Elctrica:Este valor resulta de aproximar m al entero siguiente.130.00499140.00520150.00540160.00587170.00622180.00650190.00660200.00679210.00701Amplitud del Itervalo (a): Tamao constante de cada intervalo220.00718230.00740240.007580.0111250.00764260.00791aaaa270.00814280.00894290.00906aaaaa300.00976310.01003320.01048Marca de Clase (Xi): Valor central de cada intervalo, que represeta a todos los datos contenidos en ste.330.01145340.01211350.01255360.01285370.01295380.01353a/2a/2390.01373400.01380410.01422420.01425430.01531440.01551450.01587a460.01603470.01606iLIi LSi XifiFihi%Hi %480.016371Valor mnimo de X# de datos dentro del intervalo i490.01640500.01664510.016732520.016753530.016954540.017275550.017866560.017877570.018258580.018499Valor mximo de X590.01928600.01944610.01955620.01977630.02019Verifique si la aplicacin de los conceptos anteriores lo conducen a la siguiente Tabla de Frecuencias por Intervalos:640.02093650.02164iLIi LSi XifiFihi%Hi %660.0218610.000030.011110.005569500932.0032.0012.80%12.80%670.0219820.011110.022190.016651818936.0068.0014.40%27.20%680.0220030.022190.033280.027734136929.0097.0011.60%38.80%690.0223540.033280.044360.03881645525.00122.0010.00%48.80%700.0223750.044360.055440.04989877327.00149.0010.80%59.60%710.0224960.055440.066520.06098109122.00171.008.80%68.40%720.0225470.066520.077600.07206340928.00199.0011.20%79.60%730.0232480.077600.088690.08314572729.00228.0011.60%91.20%740.0244190.088690.099770.09422804522.00250.008.80%100.00%750.02490760.02513770.02566780.02570790.02574800.02599810.02607820.02639830.02654840.02692850.02894860.02991870.03069880.03100890.03101900.03115910.03134920.03195930.03224940.03228950.03230960.03248970.03312980.03436990.034401000.035141010.035271020.035751030.036031040.036071050.036101060.037181070.037571080.037751090.038681100.038971110.039121120.039411130.039531140.041301150.042701160.042841170.043011180.043121190.043221200.043681210.043861220.043901230.044601240.044621250.045101260.045191270.045461280.045611290.046331300.046711310.047701320.048041330.048331340.048571350.048871360.049591370.050141380.050251390.050501400.050631410.051171420.051381430.051481440.053121450.053121460.054051470.054831480.054941490.055041500.055761510.056811520.056921530.057091540.058131550.058671560.058681570.058751580.059031590.059541600.059991610.060091620.060691630.061561640.062001650.062341660.063971670.064171680.064451690.064901700.065941710.066051720.066571730.067151740.067281750.067961760.068061770.068091780.068701790.068831800.069511810.070731820.070741830.071181840.071771850.072161860.072171870.072681880.072871890.073301900.073321910.073981920.075731930.076141940.076151950.076361960.076381970.077141980.077311990.077422000.077852010.077992020.078572030.078732040.079252050.079992060.080812070.080962080.081442090.081892100.082062110.082682120.083082130.083312140.083912150.084242160.084262170.084552180.084932190.085722200.085842210.085872220.086282230.086292240.086722250.086912260.087312270.087732280.087942290.089512300.089872310.090032320.090142330.090722340.091672350.091912360.092352370.093022380.093352390.094382400.094682410.095302420.095482430.096042440.096202450.096232460.096582470.097972480.098492490.099552500.09977

vv

Construya la TablaPara la siguiente informacin, construya los Lmites Inferiores y Superiores, y las Marcas de Clase de la Tabla de Frecuencias por Intervalos:

La siguiente informacin son los tiempos, en minutos, de atencin telefnica a las quejas en un Call Center de un Operador de Telefona Mvil:Cantidad de Datos: n = 7850Dato mayor: Xi mx = 22.8Dato menor: Xi m = 0.45iLIi LSi Xi10.45
Ingeniera Elctrica: Ingeniera Elctrica:Por qu LI1 = 0,45?2.04642857141.248214285722.04642857143.642857142933.64285714295.239285714345.23928571436.835714285756.83571428578.432142857168.432142857110.0285714286710.02857142868090Rintervalos10013.930967260411022.3512014ampl13014
Ingeniera Elctrica: Ingeniera Elctrica:Por qu m = 14?022.8
Ingeniera Elctrica: Ingeniera Elctrica:Por qu LS14 = 22,8?1.5964285714

Ejercicio - Complete la TablaPonga en esta tabla los Lmites Inferiores, Superiores y las Marcas de Clase de la Tabla anterior.Con la informacin en rojo, completa la Tabla:iLIi LSi XifiFihi %Hi %1201201.53%1.53%6.11%3604804.59%6.11%4409205.61%11.72%44913705.73%17.45%17.45%53019006.75%24.20%78026809.94%34.14%n1020370012.99%47.13%m78501560526019.87%67.01%1400666017.83%84.84%70073608.92%93.76%30076603.82%97.58%10077601.27%98.85%6078190.76%99.61%3178500.39%100.00%

T de F por Intervalos en ExcelRegistro de la toleracia de ajuste entre dos piezas (mm)

Toleracia (mm) XiClaseFrecuencia% acumuladoClaseFrecuencia% acumulado10.00003LSi 0.011113212.80%0.022193614.40%20.000540.011110.022193627.20%0.011113227.20%30.000820.022190.033282938.80%0.033282938.80%40.000990.033280.044362548.80%0.088692950.40%50.001410.044360.055442759.60%0.077602861.60%60.001460.055440.066522268.40%0.055442772.40%70.001610.066520.077602879.60%0.044362582.40%80.001700.077600.088692991.20%0.066522291.20%90.002770.088690.0997722100.00%0.0997722100.00%100.003930.09977y mayor...0100.00%y mayor...0100.00%110.00469120.00499130.00499140.00520150.00540160.00587170.00622180.00650190.00660200.00679210.00701220.00718230.00740240.00758250.00764260.00791270.00814280.00894290.00906300.00976310.01003320.01048330.01145340.01211350.01255360.01285370.01295380.01353390.01373400.01380410.01422420.01425430.01531440.01551450.01587460.01603470.01606480.01637490.01640500.01664510.01673520.01675530.01695540.01727550.01786560.01787570.01825580.01849590.01928600.01944610.01955620.01977630.02019640.02093650.02164660.02186670.02198680.02200690.02235700.02237710.02249720.02254730.02324740.02441750.02490760.02513770.02566780.02570790.02574800.02599810.02607820.02639830.02654840.02692850.02894860.02991870.03069880.03100890.03101900.03115910.03134920.03195930.03224940.03228950.03230960.03248970.03312980.03436990.034401000.035141010.035271020.035751030.036031040.036071050.036101060.037181070.037571080.037751090.038681100.038971110.039121120.039411130.039531140.041301150.042701160.042841170.043011180.043121190.043221200.043681210.043861220.043901230.044601240.044621250.045101260.045191270.045461280.045611290.046331300.046711310.047701320.048041330.048331340.048571350.048871360.049591370.050141380.050251390.050501400.050631410.051171420.051381430.051481440.053121450.053121460.054051470.054831480.054941490.055041500.055761510.056811520.056921530.057091540.058131550.058671560.058681570.058751580.059031590.059541600.059991610.060091620.060691630.061561640.062001650.062341660.063971670.064171680.064451690.064901700.065941710.066051720.066571730.067151740.067281750.067961760.068061770.068091780.068701790.068831800.069511810.070731820.070741830.071181840.071771850.072161860.072171870.072681880.072871890.073301900.073321910.073981920.075731930.076141940.076151950.076361960.076381970.077141980.077311990.077422000.077852010.077992020.078572030.078732040.079252050.079992060.080812070.080962080.081442090.081892100.082062110.082682120.083082130.083312140.083912150.084242160.084262170.084552180.084932190.085722200.085842210.085872220.086282230.086292240.086722250.086912260.087312270.087732280.087942290.089512300.089872310.090032320.090142330.090722340.091672350.091912360.092352370.093022380.093352390.094382400.094682410.095302420.095482430.096042440.096202450.096232460.096582470.097972480.098492490.099552500.09977