TUGAS BAB I
1. Tentukan
nilai relatif dari :
a.
15 = 15 c. 17,5 = 17,5
b.
20 = 20 d. 15 – 20 = 15 - 20
2. Tentukan
nilai nyata dari :
a.
8 = (8 – 0,5) – (8 + 0,5) = 7,5 – 8,5
b.
55 = (55 – 0,5) – (55 + 0,5) = 54,5 –
55,5
c.
11 – 15 = (11 – 0,5) – (15 + 0,5) =
10,5 – 15,5
d.
20 – 24 = (20 – 0,5) – (24 + 0,5) =
19,5 – 24,5
3.
Tentukan batas
bawah nyata dari :
a.
50 = (50 – 0,5) = 49,5
b.
15 = (15 – 0,5) = 14,5
4.
Tentukan batas
atas nyata dari :
a.
50 = (50 + 0,5) = 50,5
b.
15 = (15 + 0,5) = 15,5
5.
Tentukan batas
bawah relatif dari :
a.
51 = 51
b.
20 = 20
6. Tentukan batas atas relatif dari :
a.
51 = 51
b.
20 = 20
7.
Tentukan batas
atas dan batas bawah relatif dari interval di bawah ini :
a. 20 – 29 = (batas bawah relatif = 20, batas atas
relatif = 29)
b. 25 – 29 = (batas bawah relatif = 25, batas atas
relatif = 29)
8.
Tentukan batas
bawah nyata dan batas atas nyata dari interval di bawah ini :
a.
50 – 59 = batas
bawah nyata = (50 – 0,5) = 49,5, batas atas nyata = (59 + 0,5) = 59,5
b.
60 – 63 = batas
bawah nyata = (60 – 0,5) = 59,5, batas atas nyata = (63 + 0,5) = 63,5
c.
85 – 88 = batas
bawah nyata = (85 – 0,5) = 84,5, batas atas nyata = (88 + 0,5) = 88,5
9. Tentukan
nilai tengah dari :
a.
10,11,12,13,14 = 12
b.
45,46,47,48 = 46 + 47
= 93 = 46,5
2
2
c.
35 – 39 = 35,36,37,38,39 = 37
d.
67 – 69 = 67,68,69 = 68
TUGAS BAB II
1.
Sebanyak 60 siswa Tsanawiyah mengikuti
ujian semester gasal bidang studi matematika. Di bawah ini disajikan data nilai
yang didapatkan :
7
|
8
|
9
|
6
|
5
|
7
|
6
|
5
|
9
|
8
|
8
|
6
|
5
|
7
|
9
|
8
|
5
|
7
|
9
|
6
|
5
|
8
|
7
|
8
|
7
|
7
|
7
|
6
|
7
|
5
|
6
|
8
|
8
|
6
|
5
|
6
|
8
|
9
|
5
|
7
|
7
|
8
|
8
|
8
|
9
|
7
|
6
|
5
|
6
|
7
|
6
|
6
|
6
|
5
|
6
|
7
|
8
|
9
|
9
|
7
|
Susunlah data di atas ke
dalam bentuk Tabel Distribusi Frekuensi Data Tunggal dan lengkapi dengan fkb,
fka, p, pkb,pka
JAWAB :
|
|||||||
1.
|
|||||||
TABEL 1.1.
|
|||||||
Nilai X
|
Tanda/Jari-Jari/Tallies
|
f
|
fkb
|
fka
|
p
|
pkb
|
pka
|
9
|
II/II III
|
8
|
60
|
8
|
13,33
|
100,00
|
13,33
|
8
|
II/II II/II III
|
13
|
52
|
21
|
21,67
|
86,67
|
35,00
|
7
|
II/II
II/II II/II
|
15
|
39
|
36
|
25,00
|
65,00
|
60,00
|
6
|
II/II II/II IIII
|
14
|
24
|
50
|
23,33
|
40,00
|
83,33
|
5
|
II/II
II/II
|
10
|
10
|
60
|
16,67
|
16,67
|
100,00
|
TOTAL
|
N = 60
|
100,00
|
|||||
X
|
f
|
Nilai nyata
|
|||||
9
|
8
|
8,5-9,5
|
|||||
8
|
13
|
7,5-8,5
|
|||||
7
|
15
|
6,5-7,5
|
|||||
6
|
14
|
5,5-6,5
|
|||||
5
|
10
|
4,5-5,5
|
|||||
2. Di bawah ini data nilai matematika siswa MAN kota A :
a.
Data nilai matematika :
94
|
69
|
44
|
53
|
78
|
82
|
57
|
71
|
75
|
64
|
73
|
77
|
70
|
68
|
71
|
89
|
64
|
37
|
58
|
83
|
77
|
52
|
76
|
70
|
69
|
68
|
76
|
75
|
73
|
70
|
84
|
59
|
30
|
63
|
88
|
72
|
56
|
81
|
65
|
74
|
63
|
71
|
79
|
79
|
74
|
79
|
54
|
40
|
68
|
91
|
67
|
61
|
85
|
60
|
79
|
67
|
66
|
74
|
72
|
73
|
74
|
48
|
46
|
73
|
87
|
62
|
66
|
80
|
55
|
78
|
72
|
65
|
69
|
67
|
72
|
Maka
1).
Buatlah tabel distribusi frekuensi
2).
Lengkapi dengan fkb, fka, p, pkb,pka
JAWAB :
R=H-L+1
|
R=94-30+1
|
K=R/i
|
|||||
R=65
|
K=65/5
|
||||||
K=13
|
|||||||
TABEL 1.3
|
|||||||
Nilai X
|
Tanda/Jari-Jari/Tallies
|
f
|
fkb
|
fka
|
p
|
pkb
|
pka
|
90-94
|
II
|
2
|
75
|
2
|
2,67
|
100,00
|
2,67
|
85-89
|
IIII
|
4
|
73
|
6
|
5,33
|
97,33
|
8,00
|
80-84
|
II/II
|
5
|
69
|
11
|
6,67
|
92,00
|
14,67
|
75-79
|
II/II II/II II
|
12
|
64
|
23
|
16,00
|
85,33
|
30,67
|
70-74
|
II/II
II/II II/II III
|
18
|
52
|
41
|
24,00
|
69,33
|
54,67
|
65-69
|
II/II II/II III
|
13
|
34
|
54
|
17,33
|
45,33
|
72,00
|
60-64
|
II/II
II
|
7
|
21
|
61
|
9,33
|
28,00
|
81,34
|
55-59
|
II/II
|
5
|
14
|
66
|
6,67
|
18,66
|
88,00
|
50-54
|
III
|
3
|
9
|
69
|
4,00
|
12,00
|
92,00
|
45-49
|
II
|
2
|
6
|
71
|
2,67
|
8,00
|
94,67
|
40-44
|
II
|
2
|
4
|
73
|
2,67
|
5,33
|
97,34
|
35-39
|
I
|
1
|
2
|
74
|
1,33
|
2,66
|
98,67
|
30-34
|
I
|
1
|
1
|
75
|
1,33
|
1,33
|
100,00
|
TOTAL
|
N = 75
|
100,00
|
|||||
interval
|
Nilai nyata
|
f
|
mid point
|
90-94
|
89,5-94,5
|
2
|
92
|
85-89
|
84,5-89,5
|
4
|
87
|
80-84
|
79,5-84,5
|
5
|
82
|
75-79
|
74,5-79,5
|
12
|
77
|
70-74
|
69,5-74,5
|
18
|
72
|
65-69
|
64,5-69,5
|
13
|
67
|
60-64
|
59,5-64,5
|
7
|
62
|
55-59
|
54,5-59,5
|
5
|
57
|
50-54
|
49,5-54,5
|
3
|
52
|
45-49
|
44,5-49,5
|
2
|
47
|
40-44
|
39,5-44,5
|
2
|
42
|
35-39
|
34,5-39,5
|
1
|
37
|
30-34
|
29,5-34,5
|
1
|
32
|
b.
Lengkapi dengan fkb, fka, p, pkb,pka, dari data di
bawah ini :
99
|
74
|
49
|
78
|
53
|
82
|
57
|
81
|
56
|
75
|
94
|
69
|
98
|
73
|
45
|
77
|
52
|
76
|
51
|
70
|
89
|
64
|
93
|
69
|
97
|
72
|
96
|
71
|
90
|
65
|
84
|
59
|
88
|
63
|
92
|
67
|
91
|
66
|
85
|
60
|
79
|
54
|
83
|
58
|
87
|
62
|
86
|
61
|
80
|
55
|
70
|
65
|
79
|
74
|
69
|
73
|
68
|
72
|
71
|
70
|
89
|
74
|
69
|
83
|
78
|
72
|
77
|
81
|
76
|
75
|
84
|
79
|
64
|
88
|
73
|
67
|
82
|
68
|
71
|
66
|
JAWAB :
R=H-L+1
|
R=99-45+1
|
K=R/i
|
|||||
R=55
|
K=55/5
|
||||||
K=11
|
|||||||
TABEL 1.4
|
|||||||
Nilai
X
|
Tanda/Jari-Jari/Tallies
|
f
|
fkb
|
fka
|
p
|
pkb
|
pka
|
95-99
|
IIII
|
4
|
80
|
4
|
5,00
|
100,00
|
5,00
|
90-94
|
II/II
|
5
|
76
|
9
|
6,25
|
95,00
|
11,25
|
85-89
|
II/II
II
|
7
|
71
|
16
|
8,75
|
88,75
|
20,00
|
80-84
|
II/II IIII
|
9
|
64
|
25
|
11,25
|
80,00
|
31,25
|
75-79
|
II/II
II/II I
|
11
|
55
|
36
|
13,75
|
68,75
|
45,00
|
70-74
|
II/II II/II II/II
|
15
|
44
|
51
|
18,75
|
55,00
|
63,75
|
65-69
|
II/II
II/II II
|
12
|
29
|
63
|
15,00
|
36,25
|
78,75
|
60-64
|
II/II I
|
6
|
17
|
69
|
7,50
|
21,25
|
86,25
|
55-59
|
II/II
|
5
|
11
|
74
|
6,25
|
13,75
|
92,50
|
50-54
|
IIII
|
4
|
6
|
78
|
5,00
|
7,50
|
97,50
|
45-49
|
II
|
2
|
2
|
80
|
2,50
|
2,5
|
100,00
|
TOTAL
|
N = 80
|
100,00
|
|||||
interval
|
Nilai nyata
|
f
|
mid point
|
95-99
|
94,5-99,5
|
4
|
97
|
90-94
|
89,5-94,5
|
5
|
92
|
85-89
|
84,5-89,5
|
7
|
87
|
80-84
|
79,5-84,5
|
9
|
82
|
75-79
|
74,5-79,5
|
11
|
77
|
70-74
|
69,5-74,5
|
15
|
72
|
65-69
|
64,5-69,5
|
12
|
67
|
60-64
|
59,5-64,5
|
6
|
62
|
55-59
|
54,5-59,5
|
5
|
57
|
50-54
|
49,5-54,5
|
4
|
52
|
45-49
|
44,5-49,5
|
2
|
47
|
SUMBER = http://mahmud09-kumpulanmakalah.blogspot.com/2013/11/menentukan-nilai-relatif-nilai-nyata.html
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