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 $overline{x}=31.5$ 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 the formula for variance

Variance is the square of the standard deviation. The formula is \(\sigma^{2}\) (where \(\sigma\) is the standard deviation).

Step2: Calculate the variance

Given \(\sigma = 2.5\), then \(\sigma^{2}=2.5^{2}\).

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Rounding \(6.25\) to the nearest tenth gives \(6.3\).

Answer:

6.3 (corresponding to the fourth option)