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Can two normally distributed samples have the same mean and standard deviation but different sums of squares? Why or why

Posted: Sun Oct 03, 2021 11:41 am
by answerhappygod
Can two normally distributed samples have the same mean and
standard deviation but different sums of squares? Why or why not?
PLEASE EXPLAIN IN SIMPLEST TERMS POSSIBLE. I know the answer is yes
as I've asked it twice already but I have not understood either
response, but I'm not sure WHY. (Very beginner stats level here so
please take that into consideration when explaining, thank
you!)