METODOS QUANTITATIVOS II

AULA 2

Para a tabela a seguir, calcule os decis (D1, D5 e D9) .

classes fi

200 |– 300 1

300 |– 400 2

400 |– 500 4

500 |– 600 7

600 |– 700 5

700 |– 800 3

800 |– 900 2

total

classes___________ fi ______ Fac

200 |– 300_________ 1 ______ 1

300 |– 400_________ 2 ______ 3 --> classe D1

400 |– 500_________ 4 ______ 7

500 |– 600_________ 7 ______ 14 --> classe D5

600 |– 700_________ 5 ______ 19

700 |– 800_________ 3 ______ 22 --> classe D9

800 |– 900_________ 2 ______ 24

S1= Sx=x.E.fi/4 Dx=li+[x Efi/4-fac(ant)].h/fi

S1=1.24/10=2,4

li=300 D1=300+[1.24/10-1].100/2

Efi=2,4 D1=300+[2,4-1].100/2

fac( ant)=1 D1=300+[1,4].100/2

h=100 D1=300+1,4.100/2

fi=2 D1=300+140/2

D1=300+70

D1=370

S5= Sx=x.E.fi/4 Dx=li+[x Efi/4-fac(ant)].h/fi

S5= 5.24/10

S5=5.2,4 D5=500+[5.24/10-7].100/7

S5=12 D5=500+[12-7].100/7

li=500 D5=500+5.100/7

Efi=12 D5=500+500/7

Fac(ant)= 7 D5=500+71,42

h=100 D5=571,42

fi=7

S9= Sx=x.E.fi/4 Qx=li+[x Efi/4-fac(ant)].h/fi

S9= 9.24/10

S9=9. 2,4 D9=700+[9.24/10-19].100/3

S3=21,6 D9=700+[9.2,4-19].100/3

D9=700+[21,6-19].100/3

li=700