question 2\nthe variance for a sample with values 2, 2, 2, 6, 6, and 6 is __________.\n4.8\n2\n5\n2.5\nquesti…

Answer:

Question 1: mean Question 2: 4.8 Question 3: 5

Explanation:

Step1: Recall mean definition

Sum of measurements divided by count.

Step2: Calculate mean for Question 2 data

Mean $\bar{x}=\frac{3\times2 + 3\times6}{6}=4$.

Step3: Calculate variance for Question 2

$Var=\frac{3\times(2 - 4)^2+3\times(6 - 4)^2}{6 - 1}=4.8$.

Step4: Recall standard - deviation formula

$SD=\sqrt{Variance}$. For Question 3, $SD=\sqrt{25}=5$.