RoboguruRoboguru
SD

Tentukan D1, D4, D8, dan D9 dari data yang dinyatakan dalam histogram berikut

Pertanyaan

Tentukan D1, D4, D8, dan D9 dari data yang dinyatakan dalam histogram berikut

A. Septianingsih

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Pembahasan

Gunakan rumus desil berikut :

Desil space left parenthesis D subscript i right parenthesis equals L subscript i plus open parentheses fraction numerator begin display style i over 10 end style n minus F subscript i over denominator f subscript i end fraction close parentheses. c 

dengan :

table attributes columnalign right center left columnspacing 0px end attributes row cell D subscript i space end cell equals cell space desil space ke minus i comma space i equals 1 comma 2 comma space. space. space. space comma 9 space space end cell row cell L subscript i end cell equals cell space tepi space bawah space kelas space desil space ke minus i space space end cell row cell n space end cell equals cell space ukuran space data space left parenthesis jumlah space frekuensi right parenthesis space space end cell row cell c space end cell equals cell space interval space kelas space atau space panjang space kelas space space end cell row cell f subscript i space end cell equals cell space frekuensi space pada space interval space kelas space desil space ke minus i space space end cell row cell F subscript i space end cell equals cell space frekuensi space kumulatif space sebelum space interval space kelas space desil space ke minus straight i end cell end table 

Perhatikan tabel distribusi frekuensi kumulatif berikut untuk menghitung desil.

  • Desil 1

table attributes columnalign right center left columnspacing 0px end attributes row cell data space ke end cell equals cell straight i over 10. straight n end cell row blank equals cell 1 over 10.60 end cell row blank equals 6 row cell Kelas space end cell equals cell 16 minus 20 end cell end table  

maka 

table attributes columnalign right center left columnspacing 0px end attributes row cell Desil space space left parenthesis D subscript i right parenthesis end cell equals cell L subscript i plus open parentheses fraction numerator begin display style i over 10 end style n minus F subscript i over denominator f subscript i end fraction close parentheses. c end cell row cell D subscript 1 end cell equals cell 15 comma 5 plus open parentheses fraction numerator 6 minus 4 over denominator 8 end fraction close parentheses.5 end cell row blank equals cell 15 comma 5 plus 1 comma 25 end cell row blank equals cell 16 comma 75 end cell row blank blank blank end table  

 

  • Desil 4

table attributes columnalign right center left columnspacing 0px end attributes row cell data space ke end cell equals cell straight i over 10. straight n end cell row blank equals cell 4 over 10.60 end cell row blank equals 24 row cell Kelas space end cell equals cell 26 minus 30 end cell end table   

maka 

table attributes columnalign right center left columnspacing 0px end attributes row cell Desil space space left parenthesis D subscript i right parenthesis end cell equals cell L subscript i plus open parentheses fraction numerator begin display style i over 10 end style n minus F subscript i over denominator f subscript i end fraction close parentheses. c end cell row cell D subscript 4 end cell equals cell 25 comma 5 plus open parentheses fraction numerator 25 minus 22 over denominator 18 end fraction close parentheses.5 end cell row blank equals cell 25 comma 5 plus 0 comma 83 end cell row blank equals cell 26 comma 33 end cell row blank blank blank end table  

 

  • Desil 8

table attributes columnalign right center left columnspacing 0px end attributes row cell data space ke end cell equals cell straight i over 10. straight n end cell row blank equals cell 8 over 10.60 end cell row blank equals 48 row cell Kelas space end cell equals cell 31 minus 35 end cell end table   

maka 

table attributes columnalign right center left columnspacing 0px end attributes row cell Desil space space left parenthesis D subscript i right parenthesis end cell equals cell L subscript i plus open parentheses fraction numerator begin display style i over 10 end style n minus F subscript i over denominator f subscript i end fraction close parentheses. c end cell row cell D subscript 7 end cell equals cell 30 comma 5 plus open parentheses fraction numerator 48 minus 40 over denominator 16 end fraction close parentheses.5 end cell row blank equals cell 30 comma 5 plus 2 comma 5 end cell row blank equals 33 row blank blank blank end table  

 

  • Desil 9

table attributes columnalign right center left columnspacing 0px end attributes row cell data space ke end cell equals cell i over 10. straight n end cell row blank equals cell 9 over 10.60 end cell row blank equals 54 row cell Kelas space end cell equals cell 31 minus 35 end cell end table   

maka 

table attributes columnalign right center left columnspacing 0px end attributes row cell Desil space space left parenthesis D subscript i right parenthesis end cell equals cell L subscript i plus open parentheses fraction numerator begin display style i over 10 end style n minus F subscript i over denominator f subscript i end fraction close parentheses. c end cell row cell D subscript 9 end cell equals cell 30 comma 5 plus open parentheses fraction numerator 54 minus 40 over denominator 16 end fraction close parentheses.5 end cell row blank equals cell 30 comma 5 plus 4 comma 375 end cell row blank equals cell 34 comma 875 end cell row blank blank blank end table   

Dengan demikian hasil dari 

D subscript 1 equals 16 comma 75 D subscript 4 equals 26 comma 33 D subscript 8 equals 33 D subscript 9 equals 34 comma 875   

 

 

 

 

548

0.0 (0 rating)

Pertanyaan serupa

Perhatikan tabel berikut. Nilai desil kedua (D2) dan kedelapan (D8) dari data tersebut berturut-turut adalah......

1rb+

0.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia