Find the variance of the set of data to the nearest tenth: 5, 8, 2, 9, 4

Therefore the variance on the data set is 8.3

Step-by-step explanation:

In order to find the variance of the set of data we first need to calculate the mean of the set, which is given by:

mean = sum of each element / number of elements

mean = (5 + 8 + 2 + 9 + 4)/5 = 5.6

We can now find the variance by applying the following formula:

So applying the data from the problem we have:

s² = [(5 - 5.6)² + (8 - 5.6)² + (2 - 5.6)² + (9 - 5.6)² + (4 - 5.6)²]/(5 - 1)

s² = [(-0.6)² + (2.4)² + (-3.6)² + (3.4)² + (-1.6)²]/4

s² = [0.36 + 5.76 + 12.96 + 11.56 + 2.56]/4 = 8.3

Therefore the variance on the data set is 8.3

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: