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Cómo calcular la amplitud de intervalo de un conjunto de datos numéricos

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Esta presentación muestra de forma resumida la manera de calcular la amplitud intervalar de un conjunto de datos numéricos, con el fin de tabularlos de mejor manera en una tabla de frecuencias.

Published in: Education, Technology
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Cómo calcular la amplitud de intervalo de un conjunto de datos numéricos

  1. 1. Como calcular la amplitud de intervalos de una serie de valores<br />
  2. 2. En ocasiones se deben ordenar una serie de datos o variables numéricas en intervalos, como una forma de acotar la información a la hora de tabularla y ordenarla.<br />Como no existe un criterio determinado para establecer los intervalos la tarea se hace aun más difícil. <br />
  3. 3. Sin embargo una forma sencilla de determinar los intervalos es dividir el rango de la serie de valores por el nº de intervalos que deseamos establecer.<br />
  4. 4. Ejemplo:<br />Tenemos que ordenar los siguientes valores en 5 intervalos cerrados:<br />141, 145, 147, 148, 151, 156, 156, 158, 158, 161, 162, 162, 162, 164, 166, 166, 167, 168, 169, 170, 171, 171, 172, 172, 172, 173, 173, 173, 174, 175, 176, 176, 177, 178, 178, 179, 179, 180, 181, 181, 183, 183, 184, 185, 187, 187, 188, 191, 193, 197<br />
  5. 5. Para ello los hemos ordenado de menor a mayor para distinguir sus valores extremos. Hecho esto se obtiene el rango que no es otra cosa que la diferencia entre su mayor valor y su menor valor. Para nuestro ejemplo, el mayor valor de la serie es 197 y el menor es 141. Su rango entonces será:<br />197 – 141 = 56<br />
  6. 6. Sabiendo entonces que su rango es 56, debemos ahora determinar la amplitud que tendrá cada uno de los 5 intervalos que crearemos. Para ello solo hay que dividir el rango por la cantidad de intervalos que buscamos formar, es decir, cinco:<br />
  7. 7. Se calcula de la siguiente manera:<br />56/5 = 11,2<br />Como nos dio un valor con decimal, debemos redondear, dejándolo en una amplitud intervalar de 12. De ese modo, al ordenar los datos, la tabla con los intervalos quedaría así:<br />Donde:<br />Yi-1 = limite inferir del intervalo o clase<br />Yi = limite superior del intervalo o clase<br />ni = frecuencia absoluta<br />
  8. 8. Presentación creada<br />por<br />José Luis Escanilla A.<br />Sábado 19 de diciembre de 2009<br />

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