statistik
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Transcript of statistik
TUGAS “STATISTIKA DASAR”
Di Susun Oleh :
Nama : Miranti Audia
Nim : 1204015270
Kelas : VI B
FAKULTAS FARMASI DAN SAINS
UNIVERSITAS MUHAMMADIYAH PROF,DR.HAMKA
JAKARTA
2015
Jumlah Data
N = 250
0.001 0.184 0.299 0.299 0.337 0.443 0.608 0.687 0.74 0.9540.001 0.182 0.291 0.291 0.33 0.472 0.608 0.687 0.74 0.9540.001 0.129 0.284 0.284 0.323 0.472 0.608 0.687 0.74 0.9540.091 0.136 0.277 0.277 0.361 0.472 0.608 0.687 0.795 0.9540.091 0.145 0.271 0.271 0.367 0.472 0.608 0.687 0.795 0.9540.091 0.155 0.265 0.317 0.374 0.472 0.6 0.687 0.795 0.90.1 0.174 0.241 0.365 0.4 0.472 0.6 0.65 0.795 0.9010.1 0.185 0.306 0.351 0.4 0.507 0.6 0.65 0.749 0.9010.1 0.198 0.286 0.338 0.42 0.507 0.6 0.65 0.749 0.9010.1 0.139 0.27 0.327 0.415 0.507 0.6 0.65 0.749 0.9010.1 0.197 0.256 0.338 0.413 0.507 0.54 0.65 0.749 0.9010.1 0.207 0.317 0.351 0.414 0.507 0.54 0.65 0.749 0.9010.1 0.207 0.311 0.365 0.443 0.507 0.54 0.65 0.749 0.9010.1 0.207 0.306 0.38 0.443 0.507 0.54 0.65 0.8 0.9010.1 0.207 0.265 0.398 0.443 0.507 0.54 0.74 0.8 0.9010.1 0.21 0.26 0.389 0.443 0.507 0.54 0.74 0.795 0.901
0.106 0.168 0.26 0.4 0.381 0.472 0.6 0.687 0.795 0.90.106 0.184 0.255 0.419 0.388 0.472 0.6 0.687 0.795 0.90.106 0.117 0.25 0.398 0.396 0.472 0.6 0.65 0.795 0.90.106 0.165 0.245 0.38 0.404 0.472 0.6 0.65 0.795 0.90.136 0.209 0.25 0.369 0.443 0.608 0.54 0.74 0.8 0.880.139 0.21 0.255 0.378 0.443 0.507 0.54 0.74 0.8 0.880.145 0.19 0.245 0.36 0.443 0.608 0.54 0.74 0.8 0.880.155 0.318 0.241 0.352 0.443 0.608 0.687 0.74 0.8 0.880.168 0.308 0.308 0.344 0.443 0.608 0.687 0.74 0.8 0.88
No Interval data Frekuensi
(f)
Titik
tengah
(x)
f . x xl f . xl cf f(xl)2
|x| f |x|
9 0,849 - 0,954 25 0,9015 22,53
8
+4 100 250 400 0,429 10,725
8 0,743 - 0,848 21 0,7955 16,70
6
+3 63 225 189 0,324 6,804
7 0,637 - 0,742 31 0,6895 21,37
5
+2 62 204 124 0,218 6,758
6 0,531 - 0,636 27 0,5835 15,75
5
+1 27 173 27 0,112 3,024
5 0,425 - 0,530 30 0,4775 14,32
5
0 0 146 0 0,006 0,18
4 0,319 - 0,424 35 0,3705 12,96
6
-1 -35 116 35 0,102 3,57
3 0,213 - 0,318 33 0,2655 8,762 -2 -66 81 132 0,207 6,831
2 0,107 - 0,212 28 0,1595 4,466 -3 -84 48 252 0,313 8,764
1 0,001 - 0,106 20 0,0535 1,07 -4 -80 20 320 0,419 8,38
i=0,106 N= 250 ∑ fx= 117,9
63
∑ fx l = -13
∑ f(xl)2= 1479
∑ f |x| =
55,036
1. Distribusi frekuensi bergolong :
a. Interval
m = 1 + 3,3 . log N
m = 1 + 3,3 x log 250 = 8,91 ~ 9
b. Range ( R )
R = Xt – Xr
R= 0,954 – 0,001 = 0,953
c. Interval (i ¿
i = R
m
i = 0,953 = 0,1059 ~ 0,106 9
2. Mean
M = ∑ fx = 117,963 = 0,472 N 250
Atau mean dengan rumus terkaan :
M = MT +[ ∑ fx ]i N
M = 0,4775 + [-13 : 250]0,106 = 0,472
3. Median
Md = Bb + [1/2 . N - cfb]i fd
Md = 0,4245 + [1/2 x 250 -116 ]0,106 = 0,456 30
4. Mode
Mode = 3 median – 2 mean
= 3 (0,456) – 2(0,472) = 0,424
5. Kwartil
K = Bb + [n/4 . N - cfb]i Fd
- K1 = 0,2125 + [1/4 x 250 – 48 ]0,106 = 0,25933
- K3 = 0,6365 + [3/4 x 250 – 173 ]0,106 = 0,68631
6. Desil
D = Bb + [n/10 . N - cfb]i Fd
- D2 = 0,1065 + [2/10 x 250 – 20 ]0,106 = 0,220
28
- D4 = 0,3185 + [40/10 x 250 – 81 ]0,106 = 3,102 35
7. Persentil
Pn = Bb + [n/100 . N - cfb]i Fd
P90 = 0,7425 + [90/100 x 250 – 204 ]0,106 = 0,849
21
8. Jenjang Persentil
Jp = [∁ x−Bb¿ fx+cf k]100 i N
Jp = [(0,600 – 0,5305) 27 + 146 ]100 = 65,4810,106 250
9. Mean Deviation
MD = ∑ f|x| N
MD = 55,036 = 0,220 250
10. Standar Deviasi
SD = i √
∑ f (xl)2 - [∑f (xl) ]2
N N
SD = 0,106 √1479 - [-13] 2 = 0,258 250 250
Statistics
VAR00001
N Valid 250
Missing 0
Mean .47718
Median .44300
Mode .740
Std. Deviation .253169
Variance .064
Range .954
Minimum .000
Maximum .954
Percentiles 25 .27075
50 .44300
75 .68700
90 .87200
VAR00001
Frequency Percent Valid Percent
Cumulative
Percent
Valid 0 1 .4 .4 .4
0.001 3 1.2 1.2 1.6
0.091 3 1.2 1.2 2.8
0.1 10 4.0 4.0 6.8
0.106 3 1.2 1.2 8.0
0.117 1 .4 .4 8.4
0.129 1 .4 .4 8.8
0.136 2 .8 .8 9.6
0.139 2 .8 .8 10.4
0.145 2 .8 .8 11.2
0.155 2 .8 .8 12.0
0.165 1 .4 .4 12.4
0.168 2 .8 .8 13.2
0.174 1 .4 .4 13.6
0.182 1 .4 .4 14.0
0.184 2 .8 .8 14.8
0.185 1 .4 .4 15.2
0.19 1 .4 .4 15.6
0.197 1 .4 .4 16.0
0.198 1 .4 .4 16.4
0.207 4 1.6 1.6 18.0
0.209 1 .4 .4 18.4
0.21 2 .8 .8 19.2
0.241 2 .8 .8 20.0
0.245 2 .8 .8 20.8
0.25 2 .8 .8 21.6
0.255 2 .8 .8 22.4
0.256 1 .4 .4 22.8
0.26 2 .8 .8 23.6
0.265 2 .8 .8 24.4
0.27 1 .4 .4 24.8
0.271 2 .8 .8 25.6
0.277 2 .8 .8 26.4
0.284 2 .8 .8 27.2
0.286 1 .4 .4 27.6
0.291 2 .8 .8 28.4
0.299 2 .8 .8 29.2
0.306 2 .8 .8 30.0
0.308 2 .8 .8 30.8
0.311 1 .4 .4 31.2
0.317 2 .8 .8 32.0
0.318 1 .4 .4 32.4
0.323 1 .4 .4 32.8
0.327 1 .4 .4 33.2
0.33 1 .4 .4 33.6
0.337 1 .4 .4 34.0
0.338 2 .8 .8 34.8
0.344 1 .4 .4 35.2
0.351 2 .8 .8 36.0
0.352 1 .4 .4 36.4
0.36 1 .4 .4 36.8
0.361 1 .4 .4 37.2
0.365 2 .8 .8 38.0
0.367 1 .4 .4 38.4
0.369 1 .4 .4 38.8
0.374 1 .4 .4 39.2
0.378 1 .4 .4 39.6
0.38 2 .8 .8 40.4
0.381 1 .4 .4 40.8
0.388 1 .4 .4 41.2
0.389 1 .4 .4 41.6
0.396 1 .4 .4 42.0
0.398 2 .8 .8 42.8
0.4 3 1.2 1.2 44.0
0.404 1 .4 .4 44.4
0.413 1 .4 .4 44.8
0.414 1 .4 .4 45.2
0.415 1 .4 .4 45.6
0.419 1 .4 .4 46.0
0.42 1 .4 .4 46.4
0.443 10 4.0 4.0 50.4
0.472 10 4.0 4.0 54.4
0.507 10 4.0 4.0 58.4
0.54 9 3.6 3.6 62.0
0.6 9 3.6 3.6 65.6
0.608 9 3.6 3.6 69.2
0.65 10 4.0 4.0 73.2
0.687 10 4.0 4.0 77.2
0.74 11 4.4 4.4 81.6
0.749 7 2.8 2.8 84.4
0.795 7 2.8 2.8 87.2
0.8 7 2.8 2.8 90.0
0.88 5 2.0 2.0 92.0
0.9 5 2.0 2.0 94.0
0.901 10 4.0 4.0 98.0
0.954 5 2.0 2.0 100.0
Total 250 100.0 100.0