Simpangan rata-rata data 4, 5, 6, 7, 6, 8, 4, 8 adalah ...

Pertanyaan

Simpangan rata-rata data $4,\;5,\;6,\;7,\;6,\;8,\;4,\;8$ adalah ...

S. Amamah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

simpangan rata-rata dari data tersebut adalah 1 comma 25

Pembahasan

Gunakan konsep simpangan rata-rata data tunggal:

$table attributes columnalign right center left columnspacing 0px end attributes row SR equals cell fraction numerator sum from blank to blank of open vertical bar x subscript i minus X with bar on top close vertical bar over denominator n end fraction end cell row cell X with bar on top end cell equals cell rata minus rata end cell row n equals cell banyak space data end cell row cell x subscript i end cell equals cell data space ke space straight i end cell end table$

Pertama tentukan nilai rata-rata:

$table attributes columnalign right center left columnspacing 0px end attributes row cell straight X with bar on top end cell equals cell fraction numerator 4 plus 5 plus 6 plus 7 plus 6 plus 8 plus 4 plus 8 space over denominator 8 end fraction end cell row blank equals cell 48 over 8 end cell row blank equals 6 end table$

sehingga

$begin mathsize 12px style SR equals fraction numerator sum from blank to blank of open vertical bar straight x subscript straight i minus straight X with bar on top close vertical bar over denominator straight n end fraction equals fraction numerator open parentheses 2 cross times open vertical bar 4 minus 6 close vertical bar close parentheses plus open vertical bar 5 minus 6 close vertical bar plus open parentheses 2 cross times open vertical bar 6 minus 6 close vertical bar close parentheses plus open vertical bar 7 minus 6 close vertical bar plus open parentheses 2 cross times open vertical bar 8 minus 6 close vertical bar close parentheses over denominator 8 end fraction equals fraction numerator open parentheses 2 cross times open vertical bar negative 2 close vertical bar close parentheses plus open vertical bar negative 1 close vertical bar plus open parentheses 2 cross times open vertical bar 0 close vertical bar close parentheses plus open vertical bar 1 close vertical bar plus open parentheses 2 cross times open vertical bar 2 close vertical bar close parentheses over denominator 8 end fraction equals fraction numerator open parentheses 2 cross times 2 close parentheses plus 1 plus open parentheses 2 cross times 0 close parentheses plus 1 plus open parentheses 2 cross times 2 close parentheses over denominator 8 end fraction equals 10 over 8 equals 1 comma 25 end style$

Dengan demikian simpangan rata-rata dari data tersebut adalah 1 comma 25 .

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WANDA LESTARI

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