Question

What percent of values of a data set are less than the median?

Answer 1

Anywhere between `0%` and just under `50%`

If all the values in a data set of size `2N+1` are distinct, then

`N/(2N+1)*100%`

Explanation:

If the elements of the data set are arranged in ascending order, then the median is the value of the middle element.

For a large data set with distinct values, the percentage of values less than the median will be just under `50%`.

Consider the data set `[ 0, 0, 0, 1, 1 ]`. The median is `0` and `0%` of values are less than the median.