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Find Sample Variance {{10,11,12,13,14},{3,12,18,12,3}}

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Your problem -> Sample Variance {{10,11,12,13,14},{3,12,18,12,3}}

 x(1) Frequency (f)(2) f*x(3)=(2)xx(1) f*x^2=(f*x)xx(x)(4)=(3)xx(1) 10 3 30 30=3xx10(3)=(2)xx(1) 300 300=30xx10(4)=(3)xx(1) 11 12 132 132=12xx11(3)=(2)xx(1) 1452 1452=132xx11(4)=(3)xx(1) 12 18 216 216=18xx12(3)=(2)xx(1) 2592 2592=216xx12(4)=(3)xx(1) 13 12 156 156=12xx13(3)=(2)xx(1) 2028 2028=156xx13(4)=(3)xx(1) 14 3 42 42=3xx14(3)=(2)xx(1) 588 588=42xx14(4)=(3)xx(1) --- --- --- --- n=48 sum f*x=576 sum f*x^2=6960

Sample Variance S^2 = (sum f*x^2 - (sum f*x)^2/n)/(n-1)

=(6960 - (576)^2/48)/47

=(6960 - 6912)/47

=48/47

=1.0213

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