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The weighted mean is simply the arithmetic mean; however, certain value that occur several times are taken into account. See an example http://financial-dictionary.thefreedictionary.com/weighted+average
weighted mean is getting the weighted average of students. normally, it is always use in computing the general average of the students to determine the ranking of the whole class.
Geometric mean
Arithmatic Mean
=stdev(...) will return the N-1 weighted sample standard deviation. =stdevp(...) will return the N weighted population standard deviation.