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Varian (ragam) dari data 6, 9, 7, 5, 4, 5 adalah ....

Varian (ragam) dari data 6, 9, 7, 5, 4, 5 adalah ....

  1. 1,33

  2. 1,50

  3. 1,60

  4. 2,37

  5. 2,67

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 6 plus 9 plus 7 plus 5 plus 4 plus 5 over denominator 6 end fraction  straight x with bar on top equals 36 over 6  straight x with bar on top equals 6    Sehingga  straight S squared equals fraction numerator left parenthesis 6 minus 6 right parenthesis squared plus left parenthesis 9 minus 6 right parenthesis squared plus left parenthesis 7 minus 6 right parenthesis squared plus left parenthesis 5 minus 6 right parenthesis squared plus left parenthesis 4 minus 6 right parenthesis squared plus left parenthesis 5 minus 6 right parenthesis squared over denominator 6 end fraction  straight S squared equals fraction numerator 0 plus 9 plus 1 plus 1 plus 4 plus 1 over denominator 6 end fraction  straight S squared equals 16 over 6  straight S squared equals 2 comma 67

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