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Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about the acceleration due to gravity. The program reports a mean of 31.5 and a standard deviation of 2.5.


What is the variance of the data? Round to the nearest tenth.


1.6

2.5

5.6

6.3

Verified Answer :

MissPhiladelphia

A commonly used measure of dispersion is the standard deviation, which is simply the square root of the variance. Therefore, we just raise the standard deviation to the power of 2 to get the answer. We do as follows:

s = √v
(2.5)² = (√v)²
v = 6.25 = 6.3 <--------last option

pstnonsonjoku

Since the variance is the square of the standard deviation, the variance here is 6.3.

What is variance?

In statistics, the variance shows how much the values spread out around the mean. The standard deviation is obtained as the square root of the variance of a given value.

Now;

\(s = \sqrt{v}\)

s = 2.5

\(v = s^2\)

\(s = (2.5)^2 =\)6.3

Learn more about variance:https://brainly.com/question/14116780

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