Estadistica
Páginas: 2 (359 palabras)
Publicado: 13 de febrero de 2012
1. RANGO
Rango R=mayor-menor R=3000-300=2700
2. NUMERO DE CLASE
n=40 k=1+3.33log(n) k=1+3.33*log(40)=6.33 APROX.=6
3. AMPLITUD DE INTERVALO
i=R/k i=2700/6.33=426.54APROX. =427
4. CONSTRUIR DISTRIBUCION DE FRECUENCIAS
intervalos | limites reales | f | x | fx | FA | f(x-)² | RANGO |
300 | 726 | 299.5 | 726.5 | 14 | 513 | 7182 | 14 |4652124.44 | MODA Y PERCENTIL (P23) |
727 | 1153 | 726.5 | 1153.5 | 11 | 940 | 10340 | 25 | 245688.33 | MEDIANA Y CUARTIL (Q2) |
1154 | 1580 | 1153.5 | 1580.5 | 7 | 1367 | 9569 | 32| 539238.02 | DECIL (D7) |
1581 | 2007 | 1580.5 | 2007.5 | 6 | 1794 | 10764 | 38 | 2978344.22 | |
2008 | 2434 | 2007.5 | 2434.5 | 0 | 2221 | 0 | 38 | 0.00 | |
2435 | 2861 |2434.5 | 2861.5 | 1 | 2648 | 2648 | 39 | 2429078.10 | |
2862 | 3288 | 2861.5 | 3288.5 | 1 | 3075 | 3075 | 40 | 3942408.80 | |
| | | | 40 | | 43578 | | 14786881.90 | |5. MEDIA ()
=((∑FX)/N)=43578/40=1089.45
6. MEDIANA (Me)
rango de la mediana =n/2=40/2=20
Me=Li+(((n/2)-fa)/f)∗i Me=726.5+((20-14)/11)*427=959.41
7. MODA (Mo)1=f - f antes 1=14-0=14
=f -f después =14-11=3
Mo=Li+())* i Mo=299.5+(14/(14+3))*427=651.15
8. VARIANZA(S²)
S²=(F(X-)²)/NS²=14786881.90/40=369672.05
9. DESVIACION ESTANDAR (S)
S= √ (F(X-)²)/N=608.01
10. CUARTIL (Q2)
rango Q2=(2*n)/4=2*40/4=20
Q2=(Li+((n)/4)-fa)/f)*i Q2=726.5+((20-14)/11)*427=959.4111. PERCENTIL (P23)
rango P23=23*n/100=(23*40)/100=9.2
P23=(Li+((n)/100)-fa)/f)*i P23=299.5+((9.2-0)/14)*427=580.10
12. DECIL (D7)
rango D7=7*n/10=7*40/10=28D7=(Li+((n)/10)-fa)/f)*i D7=1153.5+((28-25)/7)*427=1336.50
13. COEFICIENTE DE OBLICUIDAD
C.O.=(i*(-Me))/s C.O.=(427*(1089.45-959.41))/608.01=91.33
TIENE DISIMETRIA POSITIVA
Rango R=mayor-menor R=3000-300=2700
2. NUMERO DE CLASE
n=40 k=1+3.33log(n) k=1+3.33*log(40)=6.33 APROX.=6
3. AMPLITUD DE INTERVALO
i=R/k i=2700/6.33=426.54APROX. =427
4. CONSTRUIR DISTRIBUCION DE FRECUENCIAS
intervalos | limites reales | f | x | fx | FA | f(x-)² | RANGO |
300 | 726 | 299.5 | 726.5 | 14 | 513 | 7182 | 14 |4652124.44 | MODA Y PERCENTIL (P23) |
727 | 1153 | 726.5 | 1153.5 | 11 | 940 | 10340 | 25 | 245688.33 | MEDIANA Y CUARTIL (Q2) |
1154 | 1580 | 1153.5 | 1580.5 | 7 | 1367 | 9569 | 32| 539238.02 | DECIL (D7) |
1581 | 2007 | 1580.5 | 2007.5 | 6 | 1794 | 10764 | 38 | 2978344.22 | |
2008 | 2434 | 2007.5 | 2434.5 | 0 | 2221 | 0 | 38 | 0.00 | |
2435 | 2861 |2434.5 | 2861.5 | 1 | 2648 | 2648 | 39 | 2429078.10 | |
2862 | 3288 | 2861.5 | 3288.5 | 1 | 3075 | 3075 | 40 | 3942408.80 | |
| | | | 40 | | 43578 | | 14786881.90 | |5. MEDIA ()
=((∑FX)/N)=43578/40=1089.45
6. MEDIANA (Me)
rango de la mediana =n/2=40/2=20
Me=Li+(((n/2)-fa)/f)∗i Me=726.5+((20-14)/11)*427=959.41
7. MODA (Mo)1=f - f antes 1=14-0=14
=f -f después =14-11=3
Mo=Li+())* i Mo=299.5+(14/(14+3))*427=651.15
8. VARIANZA(S²)
S²=(F(X-)²)/NS²=14786881.90/40=369672.05
9. DESVIACION ESTANDAR (S)
S= √ (F(X-)²)/N=608.01
10. CUARTIL (Q2)
rango Q2=(2*n)/4=2*40/4=20
Q2=(Li+((n)/4)-fa)/f)*i Q2=726.5+((20-14)/11)*427=959.4111. PERCENTIL (P23)
rango P23=23*n/100=(23*40)/100=9.2
P23=(Li+((n)/100)-fa)/f)*i P23=299.5+((9.2-0)/14)*427=580.10
12. DECIL (D7)
rango D7=7*n/10=7*40/10=28D7=(Li+((n)/10)-fa)/f)*i D7=1153.5+((28-25)/7)*427=1336.50
13. COEFICIENTE DE OBLICUIDAD
C.O.=(i*(-Me))/s C.O.=(427*(1089.45-959.41))/608.01=91.33
TIENE DISIMETRIA POSITIVA
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