Question

gebra i b-cr
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 formula

Variance is $\sigma^2$, where $\sigma$ is standard deviation.

Step2: Calculate variance

$\sigma = 2.5$, so $\sigma^2 = 2.5^2 = 6.25$

Step3: Round to nearest tenth

$6.25$ rounds to $6.3$

Answer:

D. 6.3