guia de estadistica que permite calcular las medidas de tendencia centralDescripción completa
Descripción: EXPLICACION DE LAS MEDEDIAS DE TENDENCIA CENTRAL
Descripción: .)
Descripción: Medidas de Tendencia Central
MEDIDAS DE TENDENCIA CENTRAL estadistica analisis de datos aplicados
Descripción: estadística ejercicios
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Descripción: ¿Qué es el muestreo?
Aquí encontraras un texto que recopila ejercicios de estadistica descriptiva, especificamente, problemas (algunos resueltos) sobre MEDIDAS DE TENDENCIA CENTRAL (Media - Moda - Mediana)Descripción completa
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Plan de clase Inicio
• Competencias • Motivación. • Saberes previos.
• Medidas de resumen. Tipos. • Medidas de posición. Tipos. • Medidas de tendencia central: Media Aritmética, Mediana y Moda. Contenido de • Ejemplos. sesión
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CASO PRACTICO En la siguiente tabla de frecuencias se presenta el porcentaje de algodón en un material utilizado para la fabricación de pantalones para caballeros Porcentajes de algodón [32.1 [33.0 [33.9 [34.8 [35.7 [36.6 [37.5
-
33.0> 33.9> 34.8> 35.7> 36.6> 37.5> 38.4>
xi
f i
32.55
6
33.45
11
34.35
20
35.25
12
36.15
6
37.05
6
37.95
3
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Competencias Al finalizar el capítulo, el estudiante estará en capacidad de: •
•
•
Definir las medidas de tendencia central Calcular las medidas de tendencia central en problemas contextualizados. Interpretar Interpretar las medidas de tendencia
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Medidas de Resumen Son útiles para describir un conjunto de datos.
Medidas de Posición
Medidas de tendencia central
Medidas de tendencia no central
Medidas de Dispersión
Desviación estándar Varianza
Medidas de Forma
Medidas de Concentración
Coeficiente de Pearson
Coeficiente de curtosis basado en
•
•
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Medidas de posición Las medidas de posición son aquellas medidas de resumen cuyas posiciones permiten hacer una descripción del conjunto de datos. Se dividen en:
•
Medidas de tendencia central
•
Medidas de tendencia no central
Las medidas de tendencia central, son aquellas que tienden a ocupar posiciones centrales en el conjunto de datos. Entre estas
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Media Aritmética También llamada promedio aritmético. Es la medida más utilizada, conocida y fácil de calcular e interpretar.
Cálculo de la media aritmética para datos no agrupados
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Ejemplo Los siguientes datos corresponden al tiempo de ejecución (en minutos) para una muestra muestra de ocho sistemas sistemas de información información trabajados en una CPU. 117
161
116
138
353
123
376
194
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Cálculo de la media aritmética para datos agrupados Cuando se disponga de información resumida en una tabla de frecuencias, se puede hacer el cálculo de la media aritmética, mediante la siguiente expresión:
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Ejemplo En la siguiente tabla de frecuencias se presenta el porcentaje de algodón en un material utilizado para la fabricación de pantalones para caballeros Porcentajes de algodón
xi
f i
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Propiedades de la media aritmética
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Propiedades Propied ades de la Media Aritmética
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Ejemplo
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SOLUCIÓN
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b) Si se acuerda aumentar la temperatura temperatura en un 2.5% más 1.5°C.
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) Media Total ( La media total es útil cuando se conocen las medias y los tamaños de varias muestras, y es de interés calcular la media de todas las muestras juntas. La fórmula es la siguiente:
donde:
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Ejemplo Un ingeniero civil, gerente de una empresa constructora, obtuvo la siguiente información acerca de los tiempos de ejecución diarias (en horas) de los operarios de dos obras de concreto armado en el último mes: el tiempo diario promedio de los 50 operarios de la primera obra fue 10.25 horas y el tiempo diario promedio de los 67 operarios de la segunda obra fue de 8.49 horas.
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Solución Sea la variable: variable: Xi = Tiempo de ejecución diario de los operarios de la obra i en el último mes; i = 1,2. Datos:
= 10.25 Obra 1: = 50, = 8.49 Obra 2: = 67, El tiempo de ejecución diario promedio de los 117 operarios se calcula de la siguiente manera:
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SÍNTESIS Medidas de posición Media aritmética o o
Media aritmética aritmética para datos no agrupados Media aritmética para datos agrupados
Mediana y Moda o Mediana para datos no agrupados o Moda para datos no agrupados o Mediana para datos agrupados
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METACOGNICIÓN ¿Qué
ventajas tiene la media con respecto a la mediana?
¿Qué
medidas de posición consideras más importante del tema trabajado?
¿Qué
competencias del tema podrías
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PARA REFORZAR LO APRENDIDO APRENDIDO •
RESOLVER LOS PROBLEMAS DE LA GUÍA DE TRABAJO.
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REFERENCIASS BIBLIOGRÁFICAS REFERENCIA 1. Anders Anderson, on, D. D. (2012) (2012) Estadíst Estadística ica par para a Negocio Negocios s y Economí Economía. a.