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NAMA : Maretha Dwi Aryani

NIM : 06101181320032

Prodi : Pendidikan Kimia

LATIHAN SOAL STATISTIKA PENDIDIKAN BAB 2B

Contoh 4

Data X Frek f Pro K!m "aw K!m ata#

012

3$%6&8'10

010

%'1%231%1&'6

0 (0)*0+01 (1)*0 (0)*

0+0% (%)*0+0' (')*0+1% (1%)*0+23 ( 23)*0+1% (1%)*0+1& (1&)*0+0' (')*0+06 ( 6)*

0 (0)*0+01 (1)*0+01 (1)*

0+06 (6)*0+1% (1%)*0+30 (30)*0+%3 ( %3)*0+68 (68)*0+8% (8%)*0+'$ ('$)*1 ( 100)*

1 (1)*1 (1)*0+'' ('')*

0+'' ('')*0+'$ ('$)*0+8% (8%)*0+&0 (&0)*0+$& ($&)*0+32 (32)*0+1% (1%)*0+06 (6)*

100

X dari 2 #amai 8 :

,Data X Frek f Pro K!m "aw K!m ata#

23$%6&8

0%'1%231%1&

0 (0)*0+06 (6)*0+11 (11)*0+18 (18)*0+2& (2&)*0+18 (18)*0+20 (20)*

0 (0)*0+06 (6)*0+1& (1&)*0+3% (3%)*0+62 (62)*0+8 (80)*1 (100)*

1 (100)*1 (100)*0+'$ ('$)*0+83 (83)*0+6% (6%)*0+38 (38)*0+20

(0+20)*8$

X dari % #amai ' : ,

Data X Frek f Pro K!m "aw K!m ata#

%6

&8

1%23

1%1&

0+1' (1')*0+2' (2')*

0+1' (1')*0+22 (22)*

0+1' (1')*0+$8 ($8)*

0+6& (6&)*0+8' (8')*

1 (100)*0+81 (81)*

0+%2 (%2)*0+33 (33)*

7/23/2019 marethadwiar(06101181320032)

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' ' 0+11 (11)* 1 (100)* 0+11 (11)*

&'

X dari 3 #amai % :

,

Data X Frek f Pro K!m "aw K!m ata#

3$%

%'1%

0+1& (1&)*0+31 (31)*0+%2 (%2)*

0+1& (1&)*0+$8 ($8)*1 (100)*

1 (100)*0+83 (83)*0+%2 (%2)*

2'

Contoh 5

Data X Frek f Pro K!m "aw K!m ata#

%%606%&0&%80

8121%302%10

0+08 (8)*0+12 (12)*0+1% (1%)*0+30 (30)*0+2% (2%)*0+10 (10)*

0+08 (8)*0+20

(20)*0+3%

(3%)*0+6%

(6%)*0+'0

('0)*1 (100)*

1(100)*0+'2 ('2)*0+8 (80)*0+6% (6%)*0+3% (3%)*0+10 (10)*

100

Contoh 6

Ke-omo

k

Ni-ai

ke-

Fre

k

Pro K!m "aw K!m ata#

31 . $0$1 . %0%1 . 6061 . &0&1 . 8081 . '0'1 . 100

3%+%$%+%%%+%6%+%&%+%8%+%'%+%

23%1$2%1813

0+02%

(2+%)*

0+03&

(3+&)*

0+062

(6+2)*

0+1&%

(1&+%)*

0+02%

(2+%)*0+062%

(6+2)*0+12%

(12+%)*

0+30 (30)*

0+612

1 (100)*0+'&%

('&+%)*0+'3&

('3+&)*0+8&%

(8&+%)*0+&0 (&0)*

0+38&

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0+312

(31+2)*

0+22%

(22+%)*0+162

(16+2)*

(61+2)*

0+83&

(83+&)*

1 (100)*

(38+&)*0+162

(16+2)*

80

Contoh 9. Grafk Pol!on Pro"or#

1 2 3 $ % 6 &

0/00)100/00)

200/00)

300/00)

$00/00)

%00/00)

600/00)

&00/00)

800/00)

K$lo%"ok Data

Ke-omok Data

Contoh &&

Data 1 2 3 $ % 6 & 8 ' 10

Frek!en

#i

1 0 % ' 1% 23 1% 1& ' 6

Proor#

i

0/01 0 0/0% 0/0' 0/1% 0/23 0/1% 0/1& 0/0' 0/0

6

rak i#toram

7/23/2019 marethadwiar(06101181320032)

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1 2 3 $ % 6 & 8 ' 10

0

0/0%

0/1

0/1%

0/2

0/2%

"ro"or#

roor#i

Contoh &2. Grafk H#to!ra% Pro"or#

Data Ke-omok

0/00)

%/00)

10/00)

1%/00)

20/00)

2%/00)

30/00)

3%/00)

3%+%

$%+%

%%+%

6%+%

&%+%

8%+%

'%+%

Contoh &4

'a(a) *

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Data 0 1 2 3 $ % 6 & 8 ' 10

Frek!en#i ( f * 0 1 0 % ' 1% 23 1% 1& ' 6

Proor#i (* 0 0/0

1

0 0/0

%

0/0

'

0/1

%

0/2

3

0/1

%

0/1

&

0/0

'

0/0

6

K!m!-a#i"awah 0 0/01 0/01 0/06 0/1% 0/30 0/%3 0/68 0/8% 0/'$ 1/00K!m!-a#iata# 1/0

0

1/0

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'

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$

0/8

%

0/&

0

0/$

&

0/3

2

0/1

%

0/0

6

rako4aif( oi5e *

0 2 $ 6 8 10 120

0/2

0/$

0/6

0/8

1

1/2

1 10/''0/''0/'$

0/8%

0/&

0/$&

0/32

0/1%

0/06

0 0/010/01

0/06

0/1%

0/3

0/%3

0/68

0/8%

0/'$1

K!m!-a#i "awah

K!m!-a#i ata#

A+# Ttl$

A+# Ttl$

Contoh &5

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'a(a) *

Ke-omok Ni-ai

Ke-omok

Frek!en#i Proor#i K!m!-a#i

"awah

K!m!-a#i

ata#31 . $0 3%/% 2 0/02%0 0/02%0 1/0001$1 . %0 $%/% 3 0/03&% 0/062% 0/'&%1

%1 . 60 %%/% % 0/062% 0/12%0 0/'3&661 . &0 6%/% 1$ 0/1&%0 0/3000 0/8&%1

&1 . 80 &%/% 2% 0/312% 0/612% 0/&001

81 . '0 8%/% 18 0/22%0 0/83&% 0/38&6

'1 . 100 '%/% 13 0/1626 1/0001 0/1626

rako4aif

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0 1 2 3 $ % 6 & 8

0

0/2

0/$

0/6

0/8

1

1/2

1 0/'80/'$

0/88

0/&

0/3'

0/16

0/030/06

0/13

0/3

0/61

0/8$

1

K!m!-a#i "awah

K!m!-a#i2 ata#

K$lo%"ok

Pro"or#

Co

ntoh ,-

awa" :

Ke-omo

k

7ata#

"awah

7ata#

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Frek!en#i

11 20

21 . 30

31 . $0

$1 . %0

%1 . 60

61 . &0

10+%

20+%

30+%

$0+%

%0+%

60+%

20+%

30+%

$0+%

%0+%

60+%

&0+%

2

3

%

1$ Inter5a-

#e"e-!mnya

2% Ke-a# mod!#

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&1 . 80 &0+% 80+% 18 Inter5a-

#e#!dahnya

13

Dk$tah*

" , %0+%

"1, 2% . 1$ , 11

, 10

"2 , 2% . 18 , &

P$n/$l$#aan*

Mo=b+pb1

b1+b2=50,5+10

11

11+7

, %0+% 9 6+11

, %6+61

Contoh ,&

'a(a) *

Data 7ata# "awah 7ata# ata# Frek!en#i

7/23/2019 marethadwiar(06101181320032)

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$

%

6

&

8'

3+%

$+%

%+%

6+%

&+%8+%

$+%

%+%

6+%

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8+%'+%

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%

10

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116

Dk$tah *

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, 1

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P$n/$l$#aan *

Mod!# , " 9 b1

b1+b2 , 6+% 9 15

5+4 ,6+% 95

9 , 6+% 9 0+%6 ,

&+066

Cotoh ,2

Menhit!n "ata# ata#+ "ata# "awah+ dan frek!en#i #erta ni-ai

mod!#nya:

awa" :

Data 7ata#

"awah

7ata#

ata#

Frek!en#i

0123$%6&8'

10

0+%0+%1+%2+%3+%$+%%+%6+%&+%8+%

'+%

0+%1+%2+%3+%$+%%+%6+%&+%8+%'+%

10+%

010%'

1% inter5a-

#e"e-!mnya

23 ke-a# mod!#

1% inter5a-

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#e#!dahnya1&'6

Dk$tah*" , %+%

"1, 23 . 1% , 8

, 1

2 , 23 . 1% , 8

P$n/$l$#aan*

Mo=b+pb1

b1+b2=5,5+1

8

8+8

, %+% 9 0+%

, 6

Contoh ,5

awa" :

Data 7ata#

"awah

7ata#

ata#

Frek!en#i Pro K!m ro

$%6&8'

3+%$+%%+%6+%&+%8+%

$+%%+%6+%&+%8+%'+%

3%101%116

0+06 (6)*0+1 (10)*0+2 (20)*0+3 (30)*0+22

(22)*0+12

(12)*

0+060+160+360+ 66 ke-omok

median0+881+00

%0 1+0

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(100)*

Dk$tah *

k , 6+%" , 0+36

M , 0+30

i , 1P$n/$l$#aan*

M=k+0,5b

Mi=6,5+

0,50,36

0,301

, 6+% 9 0+$&

, 6+'&

Contoh ,6

awa" :

Dat

a

7ata#

"awah

7ata#

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Frek!en#i Pro K!m ro

123$%6&8'

10

0+%1+%2+%3+%$+%%+%6+%&+%8+%

'+%

1+%2+%3+%$+%%+%6+%&+%8+%'+%

10+%

10%'1%231%1&'

6

0+010+00+0%0+0'0+1%0+230+1%0+1&0+0'

0+06

0+010+010+060+1%0+300+%3 ke-omok

median0+680+8%0+'$

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1+00100 1+0

Dk$tah*k , %+%

" , 0+30M , 0+23 i , 1P$n/$l$#aan *

M=k+0,5b

Mi=5,5+

0,50,30

0,231

, %+% 9 0+8&

, 6+3&

Contoh ,0

awa" :

K$lo%

"ok

1ata

Nla

k$lo%"

ok

Bata

#

)a(a

h

Bata

#

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r$k$

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Pro" K% "ro"

,& 3 4-4& 3 5-5& 3 6-6& 3 0-0& 3 -& 3 9-9& 3

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30+%$0+%%0+%60+%&0+%80+%'0+%

$0+%%0+%60+%&0+%80+%'0+%100+

%

23%1$2%1813

0+02%0+03&

%0+062

%0+1&%0+312

%

0+02%0+062%0+12%0+30+612% ke-omok

median0+83&%1+00

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0+22%0+162

%80 1+0

Dk$tah*k , &0+%

" , 0+3

M , 0+312%

i , 10P$n/$l$#aan *

M=k+0,5b

Mi=70,5+

0,50,30

0,312510

, &0+% 9 6+$

, &6+'

Contoh ,9

'a(a) *

Data 7ata#

7awah

7ata#

Ata#

Frek!en#

i

Proor#i K!m!-atif

Proor#i

45

6

0

9

3+%$+%

%+%

6+%

&+%

8+%

$+%%+%

6+%

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8+%

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3%

10

1%

11

6

0+060+1

0+2

0+3

0+22

0+12

0+060+16

0+36

0+66

0+88

1Dk$tah *

k1 , %+%

k3 , &+%

i , 1

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P$n/$l$#aan *

K1, k 90,25 b

k1i , %+%9

0,250,16

0,2 1 ,%+'%

K3, k 90,75 b

k3i , &+% 9

0,750,66

0,22 1 ,&+% 9 0+$1 , &+'1

Contoh 4-

'a(a) *

Data 7ata#

7awah

7ata#

Ata#

Frek!en#i Proor#i K!m!-atif

Proor#i&

2

,

4

5

6

0

9

&-

0+%

1+%

2+%

3+%

$+%

%+%

6+%

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8+%

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3+%

$+%

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6+%

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8+%

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10+%

1

0

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23

1%

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6

0+01

0

0+0%

0+0'

0+1%

0+23

0+1%

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0+0'

0+06

0+01

0

0+06

0+1%

0+30

0+%3

0+68

0+8%

0+'$

1

Dk$tah *

k1 , $+%

k3 , 6+%

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i , 1

P$n/$l$#aan *

K1, k 9

0,25 b

k1i

, $+%9

0,250,15

0,15 1 ,$+% 9 0+6& , %+1&

K3, k 90,75 b

k3i , 6+% 9

0,750,53

0,15 1 ,6+% 9 1+$&, &+'&

Contoh 4&

'a(a) *

Ke-omo

k Data

Ni-ai

Ke-omo

k

7ata#

7awah

7ata#

Ata#

Frek!en#

i

Proor#i K!m!-atif

Proor#i

,&4-

4&5-5&6-

6&0-

0&-

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3%+%

$%+%%%+%

6%+%

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8%+%

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30+%

$0+%%0+%

60+%

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80+%

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$0+%

%0+%60+%

&0+%

80+%

'0+%

100+%

2

3%

1$

2%

18

13

0+02%

0+03&%0+062%

0+1&%

0+312%

0+22%

0+162%

0+02%

0+062%0+12%

0+3

0+612%

0+83&%

1Dk$tah *

k1 , 6%+%

k3 , 8%+%

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i , 1

P$n/$l$#aan *

K1, k 9

0,25 b

k1i

, 6%+%9

0,250,125

0,175 1 , 6%+% 9 0+&1, 66+ 21

K3, k 90,75 b

k3i , 8%+% 9

0,750,6125

0,225 1 , 8%+% 9 0+61, 86+11