Pertanyaan

Varians (ragam) dari data 9, 4, 10, 12, 7, 6 adalah ....

2,33
6,00
6,33
7,00
7,33

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Jawaban terverifikasi

Pembahasan

Rata-rata data tersebut: Rumus ragam atau varians, Maka,

Rata-rata data tersebut:

$top enclose x equals fraction numerator 9 plus 4 plus 10 plus 12 plus 7 plus 6 over denominator 6 end fraction equals 8$

Rumus ragam atau varians,

$S squared equals fraction numerator left parenthesis x subscript 1 minus top enclose x right parenthesis squared plus horizontal ellipsis plus left parenthesis x subscript n minus top enclose x right parenthesis squared over denominator n end fraction$

Maka,

$S squared equals fraction numerator left parenthesis 9 minus 8 right parenthesis squared plus left parenthesis 4 minus 8 right parenthesis squared plus left parenthesis 10 minus 8 right parenthesis squared plus left parenthesis 12 minus 8 right parenthesis squared plus left parenthesis 7 minus 8 right parenthesis squared plus left parenthesis 6 minus 8 right parenthesis squared over denominator 6 end fraction S squared equals fraction numerator 1 plus 16 plus 4 plus 16 plus 1 plus 4 over denominator 6 end fraction equals 42 over 6 equals 7 comma 00$