Pertanyaan

Varians (ragam) dari data 4, 5, 4, 6, 2, 9 adalah ....

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Klaim

S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

$V a r i a n s equals S squared equals fraction numerator sum from i equals 1 to n of left parenthesis x subscript i minus top enclose x right parenthesis squared over denominator n end fraction equals fraction numerator left parenthesis x subscript 1 minus top enclose x right parenthesis squared plus midline horizontal ellipsis plus left parenthesis x subscript n minus top enclose x right parenthesis squared over denominator n end fraction C a r i space r a t a minus r a t a space t e r l e b i h space d a h u l u space top enclose x equals fraction numerator 4 plus 5 plus 4 plus 6 plus 2 plus 9 over denominator 6 end fraction equals 30 over 6 equals 5 S e h i n g g a S squared equals fraction numerator left parenthesis 4 minus 5 right parenthesis squared plus left parenthesis 5 minus 5 right parenthesis squared plus left parenthesis 4 minus 5 right parenthesis squared plus left parenthesis 6 minus 5 right parenthesis squared plus left parenthesis 2 minus 5 right parenthesis squared plus left parenthesis 9 minus 5 right parenthesis squared over denominator 6 end fraction S squared equals fraction numerator 1 plus 0 plus 1 plus 1 plus 9 plus 16 over denominator 6 end fraction equals 28 over 6 equals 14 over 3$