Question

question 2
the variance for a sample with values 2, 2, 2, 6, 6, and 6 is __________.
4.8
2
5
2.5
question 3
if a sample of 36 measurements has a variance of 25, what is the standard deviation?
6
5
25/36
5/6

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, $SD=\sqrt{25}=5$.

Answer:

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