Minggu, 21 Desember 2014

Tugas Statistik Dasar Fakulatas Ilmu Sosial Prodi Ilmu Pemerintahan


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)
                           
                            = 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
c3 = -2 , c4 = -1 , c5 = 0 , c6 = 1, c7 = 2 , c8 = 3 , c9 = 4 , c10 = 5

·        Jadi Mean sementara

    = 72 + 5
                                        = 72 + 5 (0,675)
                                        = 72 + 3,375
                                        = 75,375
2.      Modus
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 :

                   = 74,5 + 5
                   = 74,5 + 5 (0,375)
                   = 74,5 + 1,875
                   =76,375
3.      Median
Menentukan letak Median,
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:
= 74,5 + 5
= 74,5 + 5 (0,19)
= 74,5 + 0,95
= 75,95

4.      Kuartil
Mencoba mencari K1, K2, dan K3
·        K1 =  = 20, jadi data K1 terletak di kelas interval 65-69
Dit:
b = 64,5
 F = 1+2+11 = 14
f = 10
Penye :
=  64,5 + 5 (0,6)
= 64,5 + 3
= 67,5

·        K2 =  = 40, jadi data K2 terletak di kelas interval 75-79
Dit:
b = 74,5
F = 1+2+11+10+12 = 36
f = 12

Penye:
= 74,5 + 5 ( 0,33 )
= 74,5 + 1,65
= 76,15

·        K3 =  = 60, jadi data K3 terletak di kelas interval 80-84
Dit :
b = 79,5
F = 1+2+11+12+21 = 57
f = 6

Penye :
 = 79,5 + 5 (0,5)
 = 79,5 + 2,5
 = 82


5.      Desil (D1 dan D2 )

·        Mencari D1
Letak D1 =  = 8, terletak pasa kelas 60-64
b = 59,5
F = 1+2 = 3
f = 11
Pnye :
= 59,5 + 5
= 59,5 + 5 (0,45)
= 59,5 +  2,25
= 61,75

·        Mencari D2
Letak D2 =  = 16, terletak pasa kelas 65-69
b = 64,5
F = 1+2+11 = 14
f = 10
Pnye :
= 64,5 + 5
= 64,5 + 5 (0,5)
= 64,5 +  2,5
= 67

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