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Varian (ragam) dari data 15, 13, 15, 12, 14, 15 ad...

Varian (ragam) dari data 15, 13, 15, 12, 14, 15 adalah ....

  1. 11 over 3

  2. 9 over 3

  3. 7 over 3

  4. 5 over 3

  5. 4 over 3

Jawaban:

Varians space equals space straight S squared equals space fraction numerator sum from straight i equals 1 to straight n of left parenthesis straight x subscript straight i minus straight x with bar on top right parenthesis squared over denominator straight n end fraction equals fraction numerator left parenthesis straight x subscript 1 minus straight x with bar on top right parenthesis squared plus... plus left parenthesis straight x subscript straight n minus straight x with bar on top right parenthesis squared over denominator straight n end fraction    Cari space rata minus rata space terlebih space dahulu  straight x with bar on top equals fraction numerator 15 plus 13 plus 15 plus 12 plus 14 plus 15 over denominator 6 end fraction  straight x with bar on top equals 84 over 6  straight x with bar on top equals 14    Sehingga  straight S squared equals fraction numerator left parenthesis 15 minus 14 right parenthesis squared plus left parenthesis 13 minus 14 right parenthesis squared plus left parenthesis 15 minus 14 right parenthesis squared plus left parenthesis 12 minus 14 right parenthesis squared plus left parenthesis 14 minus 14 right parenthesis squared plus left parenthesis 15 minus 14 right parenthesis squared over denominator 6 end fraction  straight S squared equals fraction numerator 1 plus 1 plus 1 plus 4 plus 0 plus 1 over denominator 6 end fraction  straight S squared equals 8 over 6  straight S squared equals 4 over 3

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