An interesting GMAT statistics and averages practice question. A 700 level question.
Concept: Mean, Median, AM – GM inequality.
Question
A set contains the following observations : a, ak, ak^2 where a, k greater than 0. For what value of ‘k’ will the median of the set be greater than the arithmetic mean?
In addition to finding values of ‘k’ that will satisfy the condition, the video also discusses whether the median of a, ak, ak^2 will always be ak. If not, when will it not be the median.
Finally, the video touches upon Arithmetic Mean – Geometric Mean inequality of positive numbers to explain an alternative approach to crack the question.
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