ページ1:

m
(
r
STATISTIKA
Data
: 5.7, 8.9, 11, 11, 12, 13.14.
N = 9
• Rata-rata | Mean
| x = 2 ( fi
fi
B
r
✗.
=
zf
Xi
V
Q3
Frekuensi (Banyak) datanya
Datanya
f = Total data
Z (fi.xi) = Jumlah data
24 = 911
(fi.x)=90,
Data
Tunggal
-
1Q₁ = 1 (10+2) = 3 -> X 3 -> 7.
4
Q2 =
=
1 (X10 +X10+1)
2
1
2
-(x5 +x6) => 1 (8+10) -> 9
2
1.Q3
4
2
(30+2)-> X8 -> 12
•Jangkauan Data (Rentang Data)
J
= X marx
-X min
-19
X =
2 (fixi)
=
go 10
r
zf
• Modus / Data yang sering muncul
J = 14-5
Jangkauan Kuarfil (Hamparan)
H=23-Q1
H = 12,5-7,5
=
C
Mo
=
11
• Kuartil
Simpangan Kuartil (Qd)
Qol
=
1 H
2
Q₁ (K. Bawah!
Q2 ( Median)
Q3 (K. Atas)
Ef Ganjil → Letak Q₁ = + (n+1)
=
(n+1)
Letak
letak 3 = (n+1),
1. Q₁ > ± (9+1) = 2,5 -> X 2,5 - 7,544
4
C. Q2> 1 (9+1) = 5 -> x5 -> 11 ||
2
2,5
1.833 (9+1) = 715-> x 7,5 -> 12,5 11
4
(Ef Genap → Letak &₁ = & (n+2)
Q₂ = = (x² + x ( 2+1))
Letak Q3 = 4 (3n+2)
Data: 6,7, 12,8,10,7, 12, 8, 12, 10
; 6, 7, 7, 8, 8, 10, 10, 12, 12, 12
Qd = 1.5-25
2
• Statistika Lima Serangkai
Q2-117
=7,5
Xmin
= 5
Q3 = 12.5
Xmax = 14
• Rataan Kuartil
RK = 1 (Q₁+ Q3)
2
RK = 1 (%75 +2.5) ->1 (20) => 10
2
Rataan Tiga Kuartil
Rt =
2
(Q, +202 703)
R+ = 1, (7,5 + 2.11+2.5)
4
01 N = 10 02
23
+42
⇒10,5
4

ページ2:

• Simpangan Rata-rata
SR =
fi
Ef
x-x1
SR = 5+3+2+1+2+2+3+4
= 22
911
Varians/Ragam
g
J-2 fi. (xi-x)^
Zf
5- 25 + 9 + 4 +1 +2 74 +9 +16
70
9
• Simpangan Baku
Svarians
0
Langkah
L = 3H
2
L= ½ (Q-Q.)
= (12,5-7,5)
= 1/2 = 5 => 7.5
•Pagar Dalam
Pd
B
Pd
Q - L
=
7,5
= 011
Pagar luar
PL
=
Q3 + L
7.5
PL
=
12.5 +7.5
20%
S
70
70
Varians (5) S
Contoh Soal
d. Kuartil Atas
03 = (3n+2)
(120+2)
(122)
= 30.5
'
Nilai
fi
fix (xi-
5
4
20 (5-8)=9
T
8
56 (7-8)=1
8
15
120 (8-8)=0
9
6
54 (9-8)= 1
10 7 70 (10-8)=4
40 320
Tentukan
28
18
2000029
fi (xi-fi-xi-xl
36
e. Modus
4.15-81-12
Mo= 8 (15)
8.17-81-8 F. Varians
15-18-81=0
6.19-81-6
T5 fi (xí -x)
7-110-81-14
=
40
= X10+X
a. Mean
2
x = 2 ((fi.x₁)
2f
☑
= 320
=
40
811
b. Kuartil Bawah (Q.)
(n+2)
=
(42)
=10.5
C. Median
Q2 = 1/2(x^2 + x + 1)
=
(x 20+ X21
= 2/2 (8+8)
.16
811
= 7 + 7 => 7
2
70
40
71195
f
9. Simpangan Baku
5-55
= √1.95
1.39614
h Simpangan Rata x
SR= fi-IX-X1
= 40
99
40
W
2f