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

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 $2.5^2 = 2.5\times2.5 = 6.25$.

Step3: Round to nearest tenth

$6.25$ rounded to nearest tenth is $6.3$.

Answer:

D. 6.3 (assuming the options are labeled A:1.6, B:2.5, C:5.6, D:6.3)