Question

Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about 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. a. 2.5b. 5.6c. 1.6d. 6.3

Answer 1

Answer: d. 6.3

Step-by-step explanation:

Given : Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about acceleration due to gravity.

The program reports a mean $\mu=31.5$ and a standard deviation $\sigma=2.5$

We know that the variance is the square of the standard deviation.

So , the variance of the data will be :-

$\text{Variance}=\sigma^2=(2.5)^2=6.25\approx6.3$

Hence, the variance of the data =6.3