Question

What is the range, mean, variance, and standard deviation of {2,3,3,5,1,5,4,4,2,6}?

Answer 1

Range=5, Mean=3.5, Variance=2.25, Standard Deviation=1.5

Explanation:

Range`=`Maximum Value`-`Minimum Value`=6-1=5`

Mean`=bar(x)=(Sum of all values)/(Number of values)=(Sigmax)/n=35/10=3.5`

Variance`=s^2=(Sigma(x^2)-((Sigmax)^2)/n)/n=(145-35/10)/10=2.25`

Standard Deviation`=sqrt(Variance)=sqrt(s^2)=sqrt2.25=1.5`