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Hitunglah simpangan rata-rata dari data:

74 comma 76 comma 78 comma 64 comma 62 comma 72 comma 64 comma 62 comma 64 comma 60 comma 72 comma 70 comma 74 comma 64 comma 72 comma 68 comma 77 comma 76 comma 69 comma 74  

M. Nasrullah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

simpangan rata-rata dari data tersebut adalah 4 comma 94.

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 data tunggal:

S R equals fraction numerator begin display style sum from 1 to n of end style open vertical bar x i minus x with bar on top close vertical bar over denominator n end fraction

Pertama kita tentukan rata-rata dari data di atas, sehingga:

table attributes columnalign right center left columnspacing 0px end attributes row cell x with bar on top end cell equals cell fraction numerator jumlah space data over denominator banyaknya space data end fraction end cell row cell x with bar on top end cell equals cell fraction numerator 74 plus 76 plus 78 plus 64 plus 62 plus 72 plus 64 plus 62 plus 64 plus 60 plus 72 plus 70 plus 74 plus 64 plus 72 plus 68 plus 77 plus 76 plus 69 plus 74 over denominator 20 end fraction end cell row cell x with bar on top end cell equals cell fraction numerator 1.392 over denominator 20 end fraction end cell row x equals cell 69 comma 6 end cell end table

Sehingga, simpangan rata-ratanya:

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell S R end cell equals cell fraction numerator begin display style sum from 1 to n of end style open vertical bar x i minus x with bar on top close vertical bar over denominator n end fraction end cell row blank equals cell fraction numerator open vertical bar 74 minus 69 comma 6 close vertical bar plus open vertical bar 76 minus 69 comma 6 close vertical bar plus open vertical bar 78 minus 69 comma 6 close vertical bar plus open vertical bar 64 minus 69 comma 6 close vertical bar plus open vertical bar 62 minus 69 comma 6 close vertical bar plus open vertical bar 72 minus 69 comma 6 close vertical bar plus open vertical bar 64 minus 69 comma 6 close vertical bar plus open vertical bar 62 minus 69 comma 6 close vertical bar plus open vertical bar 64 minus 69 comma 6 close vertical bar plus open vertical bar 60 minus 69 comma 6 close vertical bar plus open vertical bar 72 minus 69 comma 6 close vertical bar plus open vertical bar 70 minus 69 comma 6 close vertical bar plus open vertical bar 74 minus 69 comma 6 close vertical bar plus open vertical bar 64 minus 69 comma 6 close vertical bar plus open vertical bar 72 minus 69 comma 6 close vertical bar plus open vertical bar 68 minus 69 comma 6 close vertical bar plus open vertical bar 77 minus 69 comma 6 close vertical bar plus open vertical bar 76 minus 69 comma 6 close vertical bar plus open vertical bar 69 minus 69 comma 6 close vertical bar plus open vertical bar 74 minus 69 comma 6 close vertical bar over denominator 20 end fraction end cell row blank equals cell fraction numerator 98 comma 8 over denominator 20 end fraction end cell row blank equals cell 4 comma 94 end cell end table end style 

Dengan demikian, simpangan rata-rata dari data tersebut adalah 4 comma 94.

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