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Varians (ragam) dari data 8,8,6,6,8,12 adalah ....

Varians (ragam) dari data 8,8,6,6,8,12 adalah ....

  1. 8

  2. 6

  3. 2 square root of 6

  4. 4

  5. 2

Jawaban:

V a r i a n s equals S squared equals fraction numerator sum from i equals 1 to n of left parenthesis x subscript i minus top enclose x right parenthesis squared over denominator n end fraction equals fraction numerator left parenthesis x subscript 1 minus top enclose x right parenthesis squared plus midline horizontal ellipsis plus left parenthesis x subscript n minus top enclose x right parenthesis squared over denominator n end fraction right parenthesis

Cari rata-rata terlebih dahulu

top enclose x equals fraction numerator 8 plus 8 plus 6 plus 6 plus 8 plus 12 over denominator 6 end fraction equals 48 over 6 equals 8

Sehingga

S squared equals fraction numerator left parenthesis 8 minus 8 right parenthesis squared plus left parenthesis 8 minus 8 right parenthesis squared plus left parenthesis 6 minus 8 right parenthesis squared plus left parenthesis 6 minus 8 right parenthesis squared plus left parenthesis 8 minus 8 right parenthesis squared plus left parenthesis 12 minus 8 right parenthesis squared right parenthesis over denominator 6 end fraction  S squared equals fraction numerator 0 plus 0 plus 4 plus 4 plus 0 plus 16 over denominator 6 end fraction equals 24 over 6 equals 4

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