Question

find the standard deviation of the given data. now, solve for the standard deviation, or the square root of the variance. 5, 6, 8, 13 variance ($sigma^2$) = 9.5 standard deviation ($sigma$) = ? round to the nearest tenth

Explanation:

Step1: Recall the formula for standard deviation

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

Step2: Substitute the variance value

We know that the variance ($\sigma^2$) is 9.5. So we calculate $\sigma = \sqrt{9.5}$.

Step3: Calculate the square root and round

$\sqrt{9.5} \approx 3.0822$, and when we round to the nearest tenth, we get 3.1.

Answer:

3.1