Question

the value (sum of all measurements/total number of measurements) for a sample is known as the _________.
median
mean
mode
variance

question 2
2 pts
the variance for a sample with values 2, 2, 2, 6, 6, and 6 is _________.
4.8
2
5
2.5

question 3
2 pts
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 definitions

The sum of all measurements/total number of measurements is the mean.

Step2: Calculate variance for 2nd qn

Mean of 2, 2, 2, 6, 6, 6 is $\frac{3\times2 + 3\times6}{6}=4$. Variance $=\frac{3\times(2 - 4)^2+3\times(6 - 4)^2}{6}=4.8$.

Step3: Recall std - dev formula

Standard deviation is square - root of variance. For variance 25, std - dev is $\sqrt{25}=5$.

Answer:

1. mean
2. 4.8
3. 5