Métodos Quantitativos II

Aula

1. Para a seqüência de valores, calcule os quartis: Q1, Q2 e Q3.

15, 7, 7, 14, 21,10, 10, 20, 1, 5

Resposta:

1, 5, 7, 7, 10, 10, 14, 15, 20, 21

Q1 (1, 5, 7, 7) = 5+7 = 12/2 = 6

Q2 (10, 10) = 10+10 = 20/2 = 10

Q3 (14, 15, 20, 21) = 15+20 = 35/2 = 17,5

Q1= 6

Q2= 10

Q3= 17,5

2. Para a tabela abaixo, calcule os quartis: Q1, Q2 e Q3.

classes	fi
120 |– 135	1
135 |– 150	3
150 |– 165	4
165 |– 185	2
185 |– 210	1

classes	fi	FAC
120 |- 135	1	1
135 |- 150	3	4	Q1
150 |- 165	4	8	Q2
165 |- 185	2	10	Q3
185 |- 210	1	11
	11	-

Sx = x. ∑ fi/4 S1 = 1.11/4 S1 = 2.75

Sx = x. ∑ fi/4 S2 = 2.11/4 S2 = 5.5

Sx = x. ∑ fi/4 S3 = 3.11/4 S3 = 8.25

Qx = li + [x.∑fi/4 – fac (ant)].h / fi li =135 ∑fi = 11 fac (ant) =1 h = 15 fi = 3 Q1 = 135 + [1.11/4 – 1].15 / 3 Q1 = 135 +[1,75].15 / 3 Q1 = 135 + 8,75 Q1 = 143,75

Qx = li + [x.∑fi/4 – fac (ant)].h / fi li =150 ∑fi = 11 fac (ant) =4 h = 15 fi = 4 Q2 = 150 + [2.11/4 – 4].15 / 4 Q2 = 150 +[1,5].15 / 4 Q2 = 150 + 5,6 Q2 = 155,6

Qx = li + [x.∑fi/4 – fac (ant)].h / fi li =165 ∑fi = 11 fac (ant) =8 h = 20 fi = 2 Q3 = 165 + [3.11/4 – 8].20 / 2 Q3 = 165 +[0,25].20 / 2 Q3 = 165 + 2,5 Q3 = 167,5

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