The mean and standard deviation have no predictive power for a uniform distribution because every event within the support interval is equally likely to occur. Unlike distributions that cluster around a central value, a uniform distribution spreads probability evenly, so summary statistics do not single out any specific outcome as more probable.
Conditions: The distribution is uniform.; All outcomes within the support interval are equally likely.
The mean and standard deviation have no predictive power for a uniform distribution because every event within the support interval is equally likely to occur. Unlike distributions that cluster around a central value, a uniform distribution spreads probability evenly, so summary statistics do not single out any specific outcome as more probable.
Conditions: The distribution is uniform.; All outcomes within the support interval are equally likely.