I know how to calculate a standard deviation when given a set of values. You must calculate the mean, then square the difference of each value between the mean to get the variance. Lastly, the standard deviation is the square root of the variance. However, I have a problem where I am given the following values:
Mean: 3.8 L
Standard Deviation: 1.0
Then I am then given a new value of 4.0L. I know that the standard deviation does not increase, because in order for it to increase the new value must be larger than the (Mean + Standard Deviation). I want to know how to recalculate the standard deviation for future use. Any help and explanation would be great!