Saturday, January 10, 2015

How to Calculate the Geometric Mean

The Geometric Mean of a data set  is given by:


NB: The geometric mean of a data set is less than the data set's arithmetic mean unless all members of the data set are equal, in which case the geometric and arithmetic means are equal.


Worked Example

A maths tutor observed that during the last academic year a student increased his score by 20% in the first semester, 30% in the second semester and 50% in the third semester. What is the average increase in the performance of the student?


Solution 1

Arithmetic Mean






Solution 2

Geometric Mean












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