Statiska

STATISTIKA

 

15

16

17

19

18

24

23

22

26

25

16

15

16

16

17

18

17

19

19

19

20

23

22

20

24

25

21

28

26

29

27

30

21

28

23

29

21

24

27

30

27

31

34

35

34

28

33

33

31

31

32

34

34

35

32

35

34

35

35

32

 

 

 

Susunan dalam table

  • Jangkauan                   =  X max – X min

= 35 – 15 = 20

  • Banyak kelas               =  1 + 3,3 log 60

=  1 + 3,3 (1,78) = 1 x 5,874 = 6, 87 => 7

  • Panjang kelas              =  20 : 7  = 2,85 => 3

 

Table Distribusi Frekuensi

Nilai

Frekuensi

f k

X1

F 1  X1

15 – 17

9

9

16

144

18 – 20

8

17

19

152

21 – 23

8

25

22

176

24 – 26

7

32

25

175

27 – 29

8

40

28

224

30 – 32

8

48

31

248

33 – 35

12

60

34

408

Jumlah

60

 

 

1527

 

 

 

 

 

 

 

Jawab…!

  1. Diagam batang

 

Kelas

Frekuensi

X (BB + BA : 2)

15 – 17

9

15 + 17 : 2 = 16

18 – 20

8

18 + 20 : 2 = 19

21 – 23

8

21 + 23 : 2 = 22

24 – 26

7

24 + 26 : 2 = 25

27 – 29

8

27 + 29 : 2 = 28

30 – 32

8

30 + 32 : 2 = 31

33 – 35

12

33 + 35: 2 = 34

 

 

 

 

 

 

 

 

  1. OGIVE

 

Tp

Frekuensi kumulatif ( < ) kurang

Frekuensi kumulatif ( > ) lebih

15,5

0

60

17,5

9

51

20,5

17

43

23,5

25

35

26,5

32

28

29,5

40

20

32,5

48

12

35,5

60

0

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. Median, Modus,Mean

 

  1. Median    =  Tb + P  = ½ ( 60 ) = 30

                                       

                                        =  23, 5 + 3

                                        =  23,5  + 3  = 22,65

 

  1. Mean   = ( X ) =  =  25,45

     

 

  1. Modus   =  Tb    + P   

            

              =  23,5 + 3  

             

              =  23,5 + 3 = 23,5 +  = 23,5 + 1,5 = 25

 

 

 

 

  1. Kuartil

 

  1. Letak  Q =

                  =   =  = 15,25 ada pada data ke 15 & 16

 

Nilai   Q 1    = data 15 + 0,25 ( data 16 – data 15 )

                   = 29 +0,25 ( 30 -29 )

                   = 29,25

 

     

 

 

 

  1. Desil

 

  1. Letak D 1 =  

                         =   =  =6,1 ada pada data ke 6 & 7

 

Nilai D1  = data 6 + 0,1 (data 7 – data 6 )

               = 20 + 0,1 ( 21 – 20 )

               = 20,1

 

 

 

  1. Letak D 2 =  

                         =   =  =12,2 ada pada data ke 12 & 13

 

Nilai D2  = data 12 + 0,2 (data 13 – data 12 )

               = 26 + 0,2 ( 27 – 26 )

               = 26,2

 

  1. Letak D 3 =  

                         =   =  =18,3 ada pada data ke 18 & 19

 

Nilai D3  = data 18 + 0,3 (data 19 – data 18 )

               = 32 + 0,3 ( 33 – 32 )

               = 32,3

 

 

 

  1. PERSENTIL

 

                        Pi =   . n

                        Pi = Tb + P(  )

 

  1. Letak P10 =   . 60 = 6

Nilai P10 = 14,5 + 6(  )

                            =14,5+ – 0,6

                            = 13,9

                         

  1. Letak P20 =   . 60 = 12

Nilai P20 = 17,5 + 6(  )

                            =29,5+ -1,67

                            = 27,83

                         

 

 

 

 

 

 

 

 

 

 

 

           
     
       
   
 

 

 

 

 

 

 

 

 

 

 

 

 

 

                                                                                   RAMADHAN SIREGAR

XII TKJ 2

 

 

 

 

 

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