ms. johnson uses a statistics program to analyze all the data collected by her students during a lab…

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. \\(\\bigcirc\\) 1.6 \\(\\bigcirc\\) 2.5 \\(\\bigcirc\\) 5.6 \\(\\bigcirc\\) 6.3

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. \\(\\bigcirc\\) 1.6 \\(\\bigcirc\\) 2.5 \\(\\bigcirc\\) 5.6 \\(\\bigcirc\\) 6.3

Answer

Explanation:

Step1: Recall Variance Formula

Variance ($\sigma^2$) is the square of standard deviation ($\sigma$). So formula: $\sigma^2 = (\sigma)^2$.

Step2: Substitute $\sigma = 2.5$

Calculate $2.5^2 = 6.25$.

Step3: Round to Nearest Tenth

6.25 rounded to nearest tenth is 6.3.

Answer:

6.3 (corresponding to the option "6.3")