Answer:
3.62
Step-by-step explanation:
The formula for sample variance is:
[tex]s^2=\frac{1}{n-1} \Sigma (x_i - \bar x)^2[/tex]
Where s^2 denotes variance
n is the number of numbers (here it is 7)
x_i are all the individual values
x_bar is the mean(average)
First, let's calculate mean:
(4+1+5+4+5+7+6)/7 = 32/7 = 4.57
Now, the variance:
[tex]\frac{(4-4.57)^2 + (1-4.57)^2 +(5-4.57)^2 + (4-4.57)^2 + (5-4.57)^2 + (7-4.57)^2 + (6-4.57)^2}{7-1}\\=3.62[/tex]
The sample variance of bottle weight is 3.62
