Answer:
D. 2.33.
Step-by-step explanation:
Given;
the weight distribution of the bottles = 4, 2, 5, 4, 5, 2, and 6
sum of the weights = 28
the mean (x) = 28/7
x = 4
the sum of square of the mean deviation is calculated as:
= (4 - 4)² + (2 - 4)² + (5 - 4)² + (4 - 4)² + (5 - 4)² + (2 - 4)² + (6 - 4)²
= 0 + 4 + 1 + 0 + 1 + 4 + 4
= 14
[tex]the \ variance \ is \ calculated \ as:\\\\\sigma ^2 = \frac{\sum (x-\bar x)^2}{n-1} \\\\\sigma ^2 = \frac{14}{7-1} = \frac{14}{6} = 2.33[/tex]
Therefore, the correct answer is D
