Answer: E. none of the above
Step-by-step explanation:
The given data values that represents the population:
2, 6, 3, and 1.
Number of values : n=4
Mean of the data values = [tex]\dfrac{\text{Sum of values}}{\text{No. of values}}[/tex]
[tex]\dfrac{2+6+3+1}{4}=\dfrac{12}{4}=3[/tex]
Sum of the squares of the difference between each values and the mean =
[tex](2-3)^2+(6-3)^2+(3-3)^2+(1-3)^2[/tex]
[tex]=-1^2+3^2+0^2+(-2)^2[/tex]
[tex]=1+9+0+4=14[/tex]
Now , Variance = (Sum of the squares of the difference between each values and the mean ) ÷ (n)
= (14) ÷ (4)= 3.5
Hence, the variance is 3.5.
Therefore , the correct answer is "E. none of the above".
