Question

For the data set below, calculate the variance to the nearest hundredth decimal place. 27 38 47 42 33 56 37 57 38 52

Answer 1

The variance of the data set will be given by:
Var=Σ(x-μ)²/(n-1)
mean=(27+38+47+42+33+56+37+57+38+52)/10=42.7
Σ(x-μ)²=(27-42.7)²+(38-42.7)²+(47-42.7)²+(42-42.7)²+(33-42.7)²+(56-42.7)²+(37-42.7)²+(57-42.7)²+(38-42.7)²+(52-42.7)²
=904.1
Thus variance will be:
904.1/(10-1)
=100.45555556
~100.5