Calculate the standard score of the given $X$ value, $X=40$, where $\mu=36.3$ and $\sigma=39.8$. Round your answer to two decimal places. Answer How to enter your answer (opens in new window)

Step 1 ：We are given a value from the dataset, $X=40$, the mean of the dataset, $\mu=36.3$, and the standard deviation of the dataset, $\sigma=39.8$.

Step 2 ：We are asked to calculate the standard score (also known as a z-score), which is a measure of how many standard deviations an element is from the mean.

Step 3 ：The formula to calculate the standard score is $Z = \frac{X - \mu}{\sigma}$.

Step 4 ：Substituting the given values into the formula, we get $Z = \frac{40 - 36.3}{39.8}$.

Step 5 ：Solving the equation, we find that $Z = 0.0929648241206031$.

Step 6 ：Rounding to two decimal places, we find that the standard score of the given $X$ value is approximately \(\boxed{0.09}\).