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Find coefficient of variation {85,96,76,108,85,80,100,85,70,95} [ Calculator, Method and examples ]

Solution:
Your problem -> coefficient of variation {85,96,76,108,85,80,100,85,70,95}

 x x - bar x = x - 88 (x - bar x)^2 85 -3 -3=85-88 9 9=-3xx-3 96 8 8=96-88 64 64=8xx8 76 -12 -12=76-88 144 144=-12xx-12 108 20 20=108-88 400 400=20xx20 85 -3 -3=85-88 9 9=-3xx-3 80 -8 -8=80-88 64 64=-8xx-8 100 12 12=100-88 144 144=12xx12 85 -3 -3=85-88 9 9=-3xx-3 70 -18 -18=70-88 324 324=-18xx-18 95 7 7=95-88 49 49=7xx7 --- --- --- sum x=880 sum (x - bar x)=0 sum (x - bar x)^2=1216

Mean bar x = (sum x)/n

=(85 + 96 + 76 + 108 + 85 + 80 + 100 + 85 + 70 + 95)/10

=880/10

=88

Population Standard deviation sigma = sqrt((sum (x - bar x)^2)/n)

=sqrt(1216/10)

=sqrt(121.6)

=11.0272

Co-efficient of Variation (Population) =sigma / bar x * 100 %

=11.0272/88 * 100 %

=12.53 %

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