Pertanyaan

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

F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

Jawaban terverifikasi

Pembahasan

Cari rata-rata terlebih dahulu Sehingga

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

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

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