Question: A computer randomly generates scores (for a given population) between 0 and 100. (Uniform distribution) The mean of the scores in the population is therefore

A computer randomly generates scores (for a given population) between 0 and 100. (Uniform distribution) The mean of the scores in the population is therefore 50 with a standard deviation of 28.8675. If instead of averaging the scores you calculated a (modified) average by first removing the highest score from the sample and replacing it with 0. How would the distribution of averages in question be the same / different ? If it is different, say how and by virtue of which law / theorem. Its center of gravity? Its standard deviation? Its shape?

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