Calculo integral edades
- 1. 15.6, 17.8, 17.4, 15.7, 17.4, 20.4, 17.6, 16.8, 15.8, 17.0, 15.9, 16.0, 15.6, 16.3, 18.1, 16.4, 18.6, 17.9, 18.6, 15.7, 17.2, 15.9, 18.7, 18.6, 15.7, 15.7, 15.7, 18.3, 17.4, 16.5, 16.0, 18.3, 16.4, 17.1, 17.3, 16.6, 17.4, 16.4, 19.6, 16.4, 17.4, 15.3, 17.4, 15.5, 16.5, 18.3, 17.8, 18.5, 17.8, 19.3, 18.3, 18.2, 18.9, 17.6, 18.3, 19.0, 18.0, 18.0<br />Clase= √63= 7.9 = 8<br />Intervalo exacto= 20.4-15.3= 5.1= 5<br />ClaseLímite inferiorLímite superiorLimite I. exactoLimite S. ExactomarcaAbsolutaAcumulada115.315.815.2515.8515.551111215.916.415.8516.4516.15718316.51716.4517.0516.75624417.117.717.0517.7517.41135517.818.317.7518.3518.051348618.418.918.3518.9518.6585671919.518.9519.5519.25561819.620.119.5520.1519.85263<br /> 5/8=.6375<br />Media<br />∑= (15.55)(11)+(16.15)(7)+(16.75)(6)+(17.4)(11)+(18.05)(13)+(18.65)(8)+(19.25)(5)+(19.85)(2)= <br />63<br />1095.8/63= 17.393<br />Posición de la mediana: <br /> ∑= 63+1 = 64/2= 32<br /> 2<br />Mediana:<br />∑= 17.05+ 63/2 – 24 .7 = 17.527<br /> 11<br />Moda:<br />∑= 17.05 11-6 (.7) = 224.052<br /> 2[11] – 6 – 13<br />Rango:<br />∑= 20.1 – 15.3= 4.8<br />Varianza:<br />√=∑= (15.55 – 17.39)²(11)+ (16.15– 17.39)²(7)+(16.75– 17.39)²(6)+(17.4– 17.39)²(11)+(18.05– 17.39)²(13)+(18.65– 17.39)²(8)+(19.25– 17.39)²(5)+(19.85– 17.39)²(2)<br />63<br />√=∑= 90.332/63= 1.433<br />Desviación Estándar:<br />√V² = √1.433= 1.19= 1.2<br />-9906024130Liceo<br />Universidad Pedro de Gante<br />Federico Espiritusanto Gómez<br />Juan Carlos Rosas Arellano<br />Julián E. Vidal Porraz<br />C.Brian Gutiérrez Rodríguez<br />Mauricio Fco. Morales Rodríguez<br />Prof.: Arturo Herrera<br />Probabilidad y Estadística Dinámica<br />6°- Semestre<br />2008-2009<br />
![15.6, 17.8, 17.4, 15.7, 17.4, 20.4, 17.6, 16.8, 15.8, 17.0, 15.9, 16.0, 15.6, 16.3, 18.1, 16.4, 18.6, 17.9, 18.6, 15.7, 17.2, 15.9, 18.7, 18.6, 15.7, 15.7, 15.7, 18.3, 17.4, 16.5, 16.0, 18.3, 16.4, 17.1, 17.3, 16.6, 17.4, 16.4, 19.6, 16.4, 17.4, 15.3, 17.4, 15.5, 16.5, 18.3, 17.8, 18.5, 17.8, 19.3, 18.3, 18.2, 18.9, 17.6, 18.3, 19.0, 18.0, 18.0<br />Clase= √63= 7.9 = 8<br />Intervalo exacto= 20.4-15.3= 5.1= 5<br />ClaseLímite inferiorLímite superiorLimite I. exactoLimite S. ExactomarcaAbsolutaAcumulada115.315.815.2515.8515.551111215.916.415.8516.4516.15718316.51716.4517.0516.75624417.117.717.0517.7517.41135517.818.317.7518.3518.051348618.418.918.3518.9518.6585671919.518.9519.5519.25561819.620.119.5520.1519.85263<br /> 5/8=.6375<br />Media<br />∑= (15.55)(11)+(16.15)(7)+(16.75)(6)+(17.4)(11)+(18.05)(13)+(18.65)(8)+(19.25)(5)+(19.85)(2)= <br />63<br />1095.8/63= 17.393<br />Posición de la mediana: <br /> ∑= 63+1 = 64/2= 32<br /> 2<br />Mediana:<br />∑= 17.05+ 63/2 – 24 .7 = 17.527<br /> 11<br />Moda:<br />∑= 17.05 11-6 (.7) = 224.052<br /> 2[11] – 6 – 13<br />Rango:<br />∑= 20.1 – 15.3= 4.8<br />Varianza:<br />√=∑= (15.55 – 17.39)²(11)+ (16.15– 17.39)²(7)+(16.75– 17.39)²(6)+(17.4– 17.39)²(11)+(18.05– 17.39)²(13)+(18.65– 17.39)²(8)+(19.25– 17.39)²(5)+(19.85– 17.39)²(2)<br />63<br />√=∑= 90.332/63= 1.433<br />Desviación Estándar:<br />√V² = √1.433= 1.19= 1.2<br />-9906024130Liceo<br />Universidad Pedro de Gante<br />Federico Espiritusanto Gómez<br />Juan Carlos Rosas Arellano<br />Julián E. Vidal Porraz<br />C.Brian Gutiérrez Rodríguez<br />Mauricio Fco. Morales Rodríguez<br />Prof.: Arturo Herrera<br />Probabilidad y Estadística Dinámica<br />6°- Semestre<br />2008-2009<br />](https://image.slidesharecdn.com/calculointegraledades-110224220043-phpapp01/85/Calculo-integral-edades-1-320.jpg)
