A large standard deviation is an indication of a wide spread around the mean. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of data points. It measures how far the values in the data set are from the mean value. A large standard deviation indicates that the data points are more spread out and less clustered around the mean value. Conversely, a small standard deviation indicates that the data points are tightly clustered around the mean value.