Pertanyaan

Variansi dari data 6,3,7,5,7,8,6,6 adalah ....

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

Pertama, kita cari terlebih dahulu nilai rata-ratanya. Sehingga kita peroleh variansinya

Pertama, kita cari terlebih dahulu nilai rata-ratanya.

$begin mathsize 12px style x with minus on top equals fraction numerator 6 plus 3 plus 7 plus 5 plus 7 plus 8 plus 6 plus 6 over denominator 8 end fraction equals 48 over 8 equals 6 end style$

Sehingga kita peroleh variansinya

$table attributes columnalign right center left columnspacing 0px end attributes row cell size 12px sigma to the power of size 12px 2 end cell size 12px equals cell fraction numerator begin mathsize 12px style left parenthesis 6 minus 6 right parenthesis squared plus left parenthesis 3 minus 6 right parenthesis squared plus left parenthesis 7 minus 6 right parenthesis to the power of 2 end exponent plus left parenthesis 5 minus 6 right parenthesis squared end style over denominator size 12px 8 end fraction end cell row blank blank cell plus fraction numerator begin mathsize 12px style left parenthesis 7 minus 6 right parenthesis squared plus left parenthesis 8 minus 6 right parenthesis squared plus left parenthesis 6 minus 6 right parenthesis to the power of 2 end exponent plus left parenthesis 6 minus 6 right parenthesis squared end style over denominator size 12px 8 end fraction end cell row blank size 12px equals cell fraction numerator size 12px 0 size 12px plus size 12px 9 size 12px plus size 12px 1 size 12px plus size 12px 1 size 12px plus size 12px 1 size 12px plus size 12px 4 size 12px plus size 12px 0 size 12px plus size 12px 0 over denominator size 12px 8 end fraction end cell row blank size 12px equals cell size 12px 16 over size 12px 8 end cell row blank size 12px equals size 12px 2 end table$