the average january surface water temperatures (°c) of lake michigan from 2000 to 2009 were 5.07, 3.57…

the average january surface water temperatures (°c) of lake michigan from 2000 to 2009 were 5.07, 3.57, 5.32, 3.19, 3.49, 4.25, 4.76, 5.19, 3.94, and 4.34. the data set has the following statistics: \n - $\bar{x}=4.312$ \n - $sigma^{2}=0.577$ \nwhat is the standard deviation? round to the nearest thousandth.\n0.333\n0.760\n2.077\n18.593

the average january surface water temperatures (°c) of lake michigan from 2000 to 2009 were 5.07, 3.57, 5.32, 3.19, 3.49, 4.25, 4.76, 5.19, 3.94, and 4.34. the data set has the following statistics: \n - $\bar{x}=4.312$ \n - $sigma^{2}=0.577$ \nwhat is the standard deviation? round to the nearest thousandth.\n0.333\n0.760\n2.077\n18.593

Answer

Explanation:

Step1: Recall standard - deviation formula

The standard deviation $\sigma$ is the square - root of the variance $\sigma^{2}$. So, $\sigma=\sqrt{\sigma^{2}}$.

Step2: Substitute the given variance value

Given $\sigma^{2}=0.577$, then $\sigma = \sqrt{0.577}$.

Step3: Calculate the square - root

Using a calculator, $\sqrt{0.577}\approx0.760$.

Answer:

B. 0.760