Soal Latihan……
Rentang
|
Frekuansi
(fi)
|
50-54
|
1
|
55-59
|
2
|
60-64
|
11
|
65-69
|
10
|
70-74
|
12
|
75-79
|
21
|
80-84
|
6
|
85-89
|
9
|
90-94
|
4
|
95-99
|
4
|
Jumlah (∑)
|
80
|
Ditanya
:
1. Mean ( Pakai
kedua rumus )
2. Modus
3. Median
4. Kuartil
5. Desil (D1
dan D2 )
Jawaban……
Rentang
|
Frekuensi (fi)
|
xi
|
fixi
|
ci
|
fici
|
50-54
|
1
|
52
|
52
|
-4
|
-4
|
55-59
|
2
|
57
|
114
|
-3
|
-6
|
60-64
|
11
|
62
|
684
|
-2
|
-22
|
65-69
|
10
|
67
|
670
|
-1
|
-10
|
70-74
|
12
|
72
|
864
|
0
|
0
|
75-79
|
21
|
77
|
1617
|
1
|
21
|
80-84
|
6
|
82
|
492
|
2
|
12
|
85-89
|
9
|
87
|
783
|
3
|
27
|
90-94
|
4
|
92
|
368
|
4
|
16
|
95-99
|
4
|
97
|
388
|
5
|
20
|
Jumlah (∑)
|
80
|
735
|
6032
|
5
|
54
|
Penyelesaian :
1. Mean ( Pakai
kedua rumus )
a)
Mean (Rata-rata)
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image002.gif)
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image004.gif)
= 75,4
b)
Mean sementara
·
Banyak kelas interval 10
·
Plih mean sementara di kelas interval ke 5 . jadi x0 =
72 (karena pemilihan kelas interval bebas )
·
Mencari nilai c1,c2,c3,…,c10
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image006.gif)
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image008.gif)
c3
= -2 , c4 = -1 , c5 = 0 , c6 = 1, c7
= 2 , c8 = 3 , c9 = 4 , c10 = 5
·
Jadi Mean sementara
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image010.gif)
= 72 + 5![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image012.gif)
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image012.gif)
= 72 + 5
(0,675)
= 72 +
3,375
= 75,375
2. Modus
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image014.gif)
Kelas Moduas
= kelas ke-6 (karena frekuensi terbesar)
Dik : Dit : Mo…
?
b = 74,5
p = 5
b1
= 21-12
= 9
b2
= 21-6
= 15
Penyelesaiaan
:
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image014.gif)
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image016.gif)
= 74,5 + 5 ![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image018.gif)
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image018.gif)
= 74,5 + 5 (0,375)
= 74,5 + 1,875
=76,375
3. Median
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image020.gif)
Menentukan
letak Median,
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image022.gif)
Jadi
mediannya terletak pada kelas interval ke-6
Dik:
b =74,5 f = 21
p = 5 F =
1+2+11+10 = 36
Dit :
Me …..?
Penyelesaian:
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image020.gif)
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image024.gif)
= 74,5 + 5 ![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image026.gif)
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image026.gif)
= 74,5 + 5 (0,19)
= 74,5 + 0,95
= 75,95
4. Kuartil
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image028.gif)
Mencoba
mencari K1, K2, dan K3
·
K1 =
= 20,
jadi data K1 terletak di kelas interval 65-69
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image030.gif)
Dit:
b = 64,5
F = 1+2+11 = 14
f = 10
Penye :
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image032.gif)
= 64,5 + 5 (0,6)
= 64,5 +
3
= 67,5
·
K2 =
= 40,
jadi data K2 terletak di kelas interval 75-79
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image034.gif)
Dit:
b = 74,5
F =
1+2+11+10+12 = 36
f = 12
Penye:
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image036.gif)
= 74,5 + 5 ( 0,33 )
= 74,5 + 1,65
= 76,15
·
K3 =
= 60,
jadi data K3 terletak di kelas interval 80-84
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image038.gif)
Dit :
b = 79,5
F =
1+2+11+12+21 = 57
f = 6
Penye :
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image040.gif)
= 79,5 + 5 (0,5)
= 79,5 + 2,5
= 82
5. Desil (D1
dan D2 )
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image042.gif)
·
Mencari D1
Letak D1
=
= 8,
terletak pasa kelas 60-64
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image044.gif)
b = 59,5
F = 1+2
= 3
f = 11
Pnye :
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image046.gif)
= 59,5 +
5 ![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image048.gif)
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image048.gif)
= 59,5 +
5 (0,45)
= 59,5
+ 2,25
= 61,75
·
Mencari D2
Letak D2 =
= 16,
terletak pasa kelas 65-69
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image050.gif)
b = 64,5
F = 1+2+11 = 14
f = 10
Pnye :
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image052.gif)
= 64,5 + 5 ![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image054.gif)
![](file:///C:%5CDOCUME%7E1%5CAdmin%5CLOCALS%7E1%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image054.gif)
= 64,5 + 5 (0,5)
= 64,5 +
2,5
= 67