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1. Tentukan Q1 , Q2 , Q3 , dan Qd dari data berikut :Data : 8 , 5 , 9 , 6 , 2 , 9 , 3

Jawab : Data : 2 , 3 , 5 , 6 , 8 , 9 , 9

↓ ↓ ↓ Q1 Q2 Q3

∘ letak Q1 = 14 ( n+1 ) ∘ letak Q2 =

12 (n+1) ∘ letak Q3 =

34 (n+1 )

= 14 ( 7+1 ) =

12 ( 7+1 ) =

34 ( 7+1 )

= 2 = 4 = 6

∴Nilai Q1 = 3 ∴Nilai Q2 = 6 ∴Nilai Q3 = 9

* Jangkauan antar kuartil : * Simpangan kuartil :

JAK = Q3 – Q1 Qd = 12 (Q3−Q1)

= 9 - 3 = 12

(9−3 )

= 6 = 12×6

= 3

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2. Tentukan Q1 , Q2 , Q3 , dan Qd dari data berikut : Data : 3, 4, 6, 6, 7, 10, 11, 12, 12, 14

Jawab :

Letak Q1 = 14

(n+1 ) X2 = 4 X3 = 6

= 14

(10+1 ) ∴Qalignl ¿ 1 ¿¿¿ = X2 + 34 (X 3−X2)

= 14 ×11 = 4 +

34

(6−4 )

= 234 = 4 +

34 ×2

= 4 + 1,5 = 5,5

Letak Q2 = 12

(n+1 ) X5 = 7 X6 = 10

= 12

(10+1 ) ∴Q2=

X5+X6

2

= 512 =

7+102

= 8,5

Letak Q3 = 34

(n+1 ) X8 = 12 X9 = 12

= 34

(10+1 ) ∴Q3=X8+13 (X9−X 8)

= 34 ×11 = 12 +

13

(12−12 )

= 813 = 12 + 0

= 12

* Jangkauan antar kuartil : * Simpangan Kuartil :

JAK = Q3 – Q1 Qd=1

2 (Q3−Q1 )

= 12 – 5,5 =12

(12−5,5 )

= 6,5 = 12×6,5

= 3,25