Question

The median of n distinct numbers is greater than the average, does this mean that there are more terms above the average than below it?

Answer 1

Answer:

This means that there are more terms above the  average.

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Answer 2

Answer:

No, the answer depends on the cases which you take.

Explanation is mentioned below.

Explanation:

The median is the middle term when there are an odd number of words, such 2n+1. There will also be at least n+1 terms bigger than the average if the average is less than the middle term. The result is that there will be more terms above the average than below it.

When there are an equal number of terms, this need not be the case, though. There will be n separate terms that are more than the median and n phrases that are less than the median when there are 2n distinct terms. There may be n terms above the average and n terms below it depending on how these two terms are averaged.

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