In: Statistics and Probability
A large standard deviation means the average variation around the mean is large. which also means if we are observing values of the data most of the values would be more spread out.
we could need a more spread out data for the following instances.
- consider a game of darts, in which each player gets some trials to throw some darts, a good darts player can throw darts at a dartboard and have them cluster around the bullseye while a bad player will have darts that hit all across the board, and could miss the board. The good darts player has a low standard deviation because the average distance of the darts from the bullseye is small and the bad darts player has a high standard deviation because the average distance of the darts from the bullseye is large.In this particular case a high standard deviation would be an indicator of bad performance.