PEMBAHASAN STATISTIKA KELAS XI
PEMBAHASAN STATISTIKA KELAS XI
Oleh: Erni Kundiarsih
MATEMATIKANET.COM
1.
Rata-rata =
2.
Median =
3.
Modus = 7
4.
Jangkauan = 9 – 5 = 4
5.
Mean =
=
=7
.
= 65 kg
=7
=7
Median = 6
Modus = 6
6.
Mean =
=6
6
Median =
Modus = 6
7.
Rata-rata =
8.
Mo = 64,5
9.
Kuartil atas = x 40 = 30
=
5 = 64,5 + 2,5 = 67
∑
=
= 69,5
"#
!
.
"5
= 69,5 + 1,25
= 70,75
&'
()
10. %
*
" +, = 59,5
& )
()
" +5 = 63,25
-
11. 6
a = 10
12.
.
/
= 48
1.326 + 43 x = 48 ( 27 + x )
1.326 + 43 x = 1.296 + 48 x
1
5x = 30
x=6
13. Data setelah diurutkan:
5
6
7
7
8
9
= 6,5
Kuartil bawah =
14. Kuartil atas =
= 11
0&'
()
15. %
10 12 14
*
16. Nilai rata-rata =
" +, = 55,5
6 22
10 27
2 32
0& )
()
5 37
" +5 = 58
4 42
3 47
=
= 32
17. Modus
6(
Mo =
# = 24,5
6( 67
5 = 24,5
5 = 26,2
18. Media
(
∑
7
=
= 24,5
(
.
7
89:
7
"#
"5
.5
= 24,5
= 29
19. Kuartil atas
∑
=
.
= 34,5
"#
!
"5
= 34,5 + 4,5
= 39
20. Kuartil bawah
(
=
= 24,5
(
.
∑
!(
(
"#
"5
= 24,5 + 0,75
2
= 25,25
21. Simpangan kuartil
6
;
=
39 ; 25,25) = 6,875
)=
22. Rata-rata data tersebut adalah 7
sehingga diperoleh ragam S2, yaitu
8;7
4;7
S2 =
5;7
9;7
10 ; 7
6;7
= (9 + 1 + 4 + 4 + 9 + 1)
= 4,67
S = √4,67 = 2,16
23.
?
>
=7
121 + 8 M = 7 ( 19 + M)
121 + 8 M = 133 + 7M
M = 12
24.
.
.
.
= 24
3x + 9 = 24 . 3
3x = 72 – 9
x = 21
.
25.
26. +@
.
.
.
.
=
= 7.420
/@ ( . ( /@ 7 . 7
(
7
, .
7,5
/@7 .
/@ 7 .
7,5
240 = 156 + +@ . 12
12 +@ = 84
+@ = 7
27. +@
/@ ( . ( /@ 7 . 7
6,6
(
7
, . (
(
.
6,6 A + 6,6 = 6,5. A
0,1 A = 2,5
9 .1
A = 25
3
28. Rata-rata = +@ =
=
=
= 6,3
Siswa dinyatakan lulus ujian matematika jika nilainya lebih besar dari 6,3.
Jadi, jumlah siswa yang lulus adalah 11 + 4 = 15 siswa
29. Nilai total kelompok = 50 x 64 = 3.200
Nilai rata-rata 49 siswa =
.
,
= 63,5
30. Misal:
Jumlah siswa laki-laki = a
Jumlah siswa perempuan = b
B
B C
C
58
65a + 54 b = 58a + 58b
7a = 4b
b:a=7:4
4
Oleh: Erni Kundiarsih
MATEMATIKANET.COM
1.
Rata-rata =
2.
Median =
3.
Modus = 7
4.
Jangkauan = 9 – 5 = 4
5.
Mean =
=
=7
.
= 65 kg
=7
=7
Median = 6
Modus = 6
6.
Mean =
=6
6
Median =
Modus = 6
7.
Rata-rata =
8.
Mo = 64,5
9.
Kuartil atas = x 40 = 30
=
5 = 64,5 + 2,5 = 67
∑
=
= 69,5
"#
!
.
"5
= 69,5 + 1,25
= 70,75
&'
()
10. %
*
" +, = 59,5
& )
()
" +5 = 63,25
-
11. 6
a = 10
12.
.
/
= 48
1.326 + 43 x = 48 ( 27 + x )
1.326 + 43 x = 1.296 + 48 x
1
5x = 30
x=6
13. Data setelah diurutkan:
5
6
7
7
8
9
= 6,5
Kuartil bawah =
14. Kuartil atas =
= 11
0&'
()
15. %
10 12 14
*
16. Nilai rata-rata =
" +, = 55,5
6 22
10 27
2 32
0& )
()
5 37
" +5 = 58
4 42
3 47
=
= 32
17. Modus
6(
Mo =
# = 24,5
6( 67
5 = 24,5
5 = 26,2
18. Media
(
∑
7
=
= 24,5
(
.
7
89:
7
"#
"5
.5
= 24,5
= 29
19. Kuartil atas
∑
=
.
= 34,5
"#
!
"5
= 34,5 + 4,5
= 39
20. Kuartil bawah
(
=
= 24,5
(
.
∑
!(
(
"#
"5
= 24,5 + 0,75
2
= 25,25
21. Simpangan kuartil
6
;
=
39 ; 25,25) = 6,875
)=
22. Rata-rata data tersebut adalah 7
sehingga diperoleh ragam S2, yaitu
8;7
4;7
S2 =
5;7
9;7
10 ; 7
6;7
= (9 + 1 + 4 + 4 + 9 + 1)
= 4,67
S = √4,67 = 2,16
23.
?
>
=7
121 + 8 M = 7 ( 19 + M)
121 + 8 M = 133 + 7M
M = 12
24.
.
.
.
= 24
3x + 9 = 24 . 3
3x = 72 – 9
x = 21
.
25.
26. +@
.
.
.
.
=
= 7.420
/@ ( . ( /@ 7 . 7
(
7
, .
7,5
/@7 .
/@ 7 .
7,5
240 = 156 + +@ . 12
12 +@ = 84
+@ = 7
27. +@
/@ ( . ( /@ 7 . 7
6,6
(
7
, . (
(
.
6,6 A + 6,6 = 6,5. A
0,1 A = 2,5
9 .1
A = 25
3
28. Rata-rata = +@ =
=
=
= 6,3
Siswa dinyatakan lulus ujian matematika jika nilainya lebih besar dari 6,3.
Jadi, jumlah siswa yang lulus adalah 11 + 4 = 15 siswa
29. Nilai total kelompok = 50 x 64 = 3.200
Nilai rata-rata 49 siswa =
.
,
= 63,5
30. Misal:
Jumlah siswa laki-laki = a
Jumlah siswa perempuan = b
B
B C
C
58
65a + 54 b = 58a + 58b
7a = 4b
b:a=7:4
4