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 $\bar{x}=31.5$ and $sigma = 2.5$. what is the variance of the data? round to the nearest tenth. 1.6 2.5 5.6 6.3

Explanation:

Step1: Recall variance - standard deviation relation

The variance $\sigma^{2}$ is the square of the standard deviation $\sigma$.

Step2: Calculate variance

Given $\sigma = 2.5$, then $\sigma^{2}=2.5^{2}=6.25$.

Step3: Round to nearest tenth

Rounding 6.25 to the nearest tenth gives 6.3.

Answer:

D. 6.3