Roboguru
SD

Tentukan simpangan rata-rata, ragam, dan simpangan baku dari data berikut ini! c. 9,3,8,8,9,8,9,18

Pertanyaan

Tentukan simpangan rata-rata, ragam, dan simpangan baku dari data berikut ini!

c. 9,3,8,8,9,8,9,18 space

M. Nasrullah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

simpangan rata-rata, ragam, dan simpangan baku dari data tersebut masing-masing adalah 2 comma 25 comma space 15 space dan space 3 comma 87.

Pembahasan

Ingat kembali:

-rumus rata-rata:

x with bar on top equals fraction numerator jumlah space data over denominator banyaknya space data end fraction

-simpangan rata-rata

simpangan space rata minus rata equals fraction numerator begin display style sum from blank to blank of vertical line x subscript i italic minus x with italic bar on top vertical line end style over denominator n end fraction 

-rumus ragam

ragam equals fraction numerator begin display style sum from blank to blank of end style left parenthesis x subscript i italic minus x with italic bar on top right parenthesis squared over denominator straight n end fraction

-simpangan baku

s equals square root of ragam

Pertama kita tentukan rata-rata dari data tersebut:

table attributes columnalign right center left columnspacing 0px end attributes row cell x with bar on top end cell equals cell fraction numerator 9 plus 3 plus 8 plus 8 plus 9 plus 8 plus 9 plus 18 over denominator 8 end fraction end cell row blank equals cell 72 over 8 end cell row blank equals 9 end table

Kemudian, kita tentukan simpangan rata-rata:

table attributes columnalign right center left columnspacing 0px end attributes row SR equals cell fraction numerator begin display style sum from blank to blank of vertical line x subscript i italic minus x with italic bar on top vertical line end style over denominator n end fraction end cell row blank equals cell fraction numerator vertical line 9 minus 9 vertical line plus vertical line 3 minus 9 vertical line plus vertical line 8 minus 9 vertical line plus vertical line 8 minus 9 vertical line plus vertical line 9 minus 9 vertical line plus vertical line 8 minus 9 vertical line plus vertical line 9 minus 9 vertical line plus vertical line 18 minus 9 vertical line over denominator 8 end fraction end cell row blank equals cell 18 over 8 end cell row blank equals cell 2 comma 25 end cell row blank blank blank end table  

Selanjutnya mennetukan ragam

table attributes columnalign right center left columnspacing 0px end attributes row SR equals cell fraction numerator begin display style sum from blank to blank of begin italic style left parenthesis x subscript i minus x with bar on top right parenthesis end style squared end style over denominator n end fraction end cell row blank equals cell fraction numerator open parentheses 9 minus 9 close parentheses squared plus open parentheses 3 minus 9 close parentheses squared plus open parentheses 8 minus 9 close parentheses squared plus open parentheses 8 minus 9 close parentheses squared plus open parentheses 9 minus 9 close parentheses squared plus open parentheses 8 minus 9 close parentheses squared plus open parentheses 9 minus 9 close parentheses squared plus open parentheses 18 minus 9 close parentheses squared over denominator 8 end fraction end cell row blank equals cell 120 over 8 end cell row blank equals 15 end table    

Selanjutnya, kita tenatukan simpangan baku:

table attributes columnalign right center left columnspacing 0px end attributes row s equals cell square root of ragam end cell row blank equals cell square root of 15 end cell row blank equals cell 3 comma 87 end cell end table 

Dengan demikian, simpangan rata-rata, ragam, dan simpangan baku dari data tersebut masing-masing adalah 2 comma 25 comma space 15 space dan space 3 comma 87.

41

5.0 (2 rating)

Pertanyaan serupa

Tentukan range, simpangan rata-rata dan simpangan baku dari data pada tabel berikut!

121

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