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s(x) is the standard deviation of a sample of data. S is the standard deviation of the entire population of your sample. If youre looking for the standard deviation or volatility of stocks, hereâs a blog which includes a table with all of the equa...
The population standard deviation is calculated using =STDEV(VALUES) and in this case the command is =STDEV(A2:A6) which produces an answer of 0.55. The sample standard deviation will always be greater than the population standard deviation when they are calculated for the same dataset. This is because the formula for the sample standard deviation has to take into account the possibility of there being more variation in the true population than has been measured in the sample. Based on their sample of 5 cars, and therefore using the sample standard deviation, the manufacturers could state with 99% confidence that similar cars will do between 14.57 (MEAN-3SD) and 17.87 (MEAN+3SD) kilometres per litre .