Tugas Statistik Tia.docx
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NAMA
: ADE TIA UTARI
NIM
: 5163331001
MATA KULIAH
: STATISTIK
SOAL 1. Kinerja 64 orang karyawan disajikan pada tabel dibawah ini 83
92
90
91 94
91
90
77
93
68
82 83
86
91
81
81
90
89 89
89
90
89
75
91
98 83
81
77
92
82
90
88 84
89
96
88
77
92 85
92
91
71
73
77 89
77
87
93
88
87 83
91
91
84
84
86 82
86
81
81
75
98 83
95
Hitunglah a. Buat daftar distribusi frekuensi kinerja. b. Buat histogram. c. Hitung rata-rata median modus. d. Hitung k1, k2, k3. e. Hitung D2, D5,D7. Jawaban a. Tabel frekuensi data tunggal 68
1
71
1
73
1
75
2
77
5
81
5
82 3 83 5 84 3 85 1 86 3 87 2 88 3 89 6 90 5 91 7 92 4 93 2 94 1 95 1 96 1 98 2
Tabel frekuensi data kelompok
Kelas ke -
Selang nilai kerja
Batas kelas
Nilai kelas (x1)
fi
1
61-70
60,5-70,5
65,5
1
2
71-80
70,5-80,5
75,5
8
3
81-90
80,5-90,5
80,5
37
4
91-100
90,5-100,5
95,5
18
Frekuensi Kumulatif
b. Hitogram
Histogram
20 18 16 14 12 10 8 6 4 2 0
17.5-25.5 25.5-29.5 29.5-35.5 35.5-41.5 41.5-47.5 47.5-53.5 53.5-59.5 59.5-66.5 Tepi Kelas
c. Rata-rata, Median, Modus Mean (rata-rata)
5502 64
= 85,96875
Median : Jumlah data 64 data ke 32+data ke 33 Median 2
Median (nilai tengah) =
82+89 2
Modus Modus (nilai yg sering mucul) 77,89,91 d. D2 =
2(64+1)
D2 = 13 D2 = 77
10
= 85,5
D5 =
5(64+1) 10
D5 = 32,5 D5 = X 35 + 0,5 ( X36 + X35 ) D5 = 88 + 0,5 ( 92 – 88 ) D5 = 92,5
D7 =
5(64+1) 10
D7 = 45,5 D7 = X 45 + 0,5 (X46 + X45) D7 = 84 + 0,5 ( 85 – 84 ) D7 = 85,5
e. q1 = data 16 + data 17 : 2 q1 = + : 2 = q2 = median = 85,5 q3 = data 48 + data 49 : 2 =: 2 =
f. Simpangan Batu ( S ) S=√
S=√ S=
Ʃ𝑓𝑖 ( 𝑋𝑖− Ẋ )2 𝑛−1
: ADE TIA UTARI
NIM
: 5163331001
MATA KULIAH
: STATISTIK
SOAL 1. Kinerja 64 orang karyawan disajikan pada tabel dibawah ini 83
92
90
91 94
91
90
77
93
68
82 83
86
91
81
81
90
89 89
89
90
89
75
91
98 83
81
77
92
82
90
88 84
89
96
88
77
92 85
92
91
71
73
77 89
77
87
93
88
87 83
91
91
84
84
86 82
86
81
81
75
98 83
95
Hitunglah a. Buat daftar distribusi frekuensi kinerja. b. Buat histogram. c. Hitung rata-rata median modus. d. Hitung k1, k2, k3. e. Hitung D2, D5,D7. Jawaban a. Tabel frekuensi data tunggal 68
1
71
1
73
1
75
2
77
5
81
5
82 3 83 5 84 3 85 1 86 3 87 2 88 3 89 6 90 5 91 7 92 4 93 2 94 1 95 1 96 1 98 2
Tabel frekuensi data kelompok
Kelas ke -
Selang nilai kerja
Batas kelas
Nilai kelas (x1)
fi
1
61-70
60,5-70,5
65,5
1
2
71-80
70,5-80,5
75,5
8
3
81-90
80,5-90,5
80,5
37
4
91-100
90,5-100,5
95,5
18
Frekuensi Kumulatif
b. Hitogram
Histogram
20 18 16 14 12 10 8 6 4 2 0
17.5-25.5 25.5-29.5 29.5-35.5 35.5-41.5 41.5-47.5 47.5-53.5 53.5-59.5 59.5-66.5 Tepi Kelas
c. Rata-rata, Median, Modus Mean (rata-rata)
5502 64
= 85,96875
Median : Jumlah data 64 data ke 32+data ke 33 Median 2
Median (nilai tengah) =
82+89 2
Modus Modus (nilai yg sering mucul) 77,89,91 d. D2 =
2(64+1)
D2 = 13 D2 = 77
10
= 85,5
D5 =
5(64+1) 10
D5 = 32,5 D5 = X 35 + 0,5 ( X36 + X35 ) D5 = 88 + 0,5 ( 92 – 88 ) D5 = 92,5
D7 =
5(64+1) 10
D7 = 45,5 D7 = X 45 + 0,5 (X46 + X45) D7 = 84 + 0,5 ( 85 – 84 ) D7 = 85,5
e. q1 = data 16 + data 17 : 2 q1 = + : 2 = q2 = median = 85,5 q3 = data 48 + data 49 : 2 =: 2 =
f. Simpangan Batu ( S ) S=√
S=√ S=
Ʃ𝑓𝑖 ( 𝑋𝑖− Ẋ )2 𝑛−1
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