Answer :
To find the standard deviation, [tex]\(\sigma\)[/tex], from the given data, we start with the provided variance. The formula to calculate the standard deviation from the variance is:
[tex]\[
\sigma = \sqrt{\sigma^2}
\][/tex]
where [tex]\(\sigma^2\)[/tex] is the variance.
In this problem, the variance ([tex]\(\sigma^2\)[/tex]) is given as 366.3. So, to find the standard deviation, we simply take the square root of the variance:
[tex]\[
\sigma = \sqrt{366.3}
\][/tex]
After calculating the square root, we find that:
[tex]\[
\sigma \approx 19.14
\][/tex]
Therefore, the standard deviation of the data is approximately 19.14.
[tex]\[
\sigma = \sqrt{\sigma^2}
\][/tex]
where [tex]\(\sigma^2\)[/tex] is the variance.
In this problem, the variance ([tex]\(\sigma^2\)[/tex]) is given as 366.3. So, to find the standard deviation, we simply take the square root of the variance:
[tex]\[
\sigma = \sqrt{366.3}
\][/tex]
After calculating the square root, we find that:
[tex]\[
\sigma \approx 19.14
\][/tex]
Therefore, the standard deviation of the data is approximately 19.14.
