Question

Which of the following would be the variance of this population data set: 3, 9, 8, 9, 4, 5, 7, 11, 9, 7, 5, 4, 3, 1

Answer 1

Answer:

3

Step-by-step explanation:

Answer 2

The variance of this population data set is 3.

How to find the variance of the set of data?

To find the variance of the set of data we first need to calculate the mean of the set.

mean = sum of each element / number of elements

mean = (3 + 9+ 8+ 9+ 4+ 5+ 7+ 11+ 9+ 7+ 5+ 4+ 3+ 1)/14 = 6.07

We can now find the variance by the following formula:

$s^2 = \dfrac{(x- mean)^2}{n- 1}$

So by applying the data from the problem we have:

s² = [(3 - 6.07)² + (9 - 6.07)² + (8 - 6.07)² + (9 - 6.07)² + ....]/(14 - 1)

s² = [0.36 + 5.76 + 12.96 + 11.56 + 2.56]/13 = 3

Therefore the variance on the data set is 3.

Learn more about variance;

https://brainly.com/question/14473160

#SPJ2