With statement (1), you have the top 25% covered, but you don't know anything about the other 75%. For example, 75% of the projects could have 1 employee assigned, or 2, or 3, or a mixture, so you don't know about the project at 50%.
Similarly, with statement (2), you have the bottom 35% covered, but you don't know about the other 65%. All other projects might have 3 employees assigned, or 5, or 30... so at 50%, it could be any number greater than 2.
Two statements taken together, you have both the top 25% and bottom 35% covered. From this, the following statement is necessarily true:
40% of the projects have more than 2 but less than 4 number of employees assigned to each project.
The median falls within this middle 40% (ie, above 35% but below the top 25%). Notice that only one integer falls between 4 and 2, and that is 3. So, 40% of the projects have 3 people assigned to each project, and 3 is the median you're looking for.(from beatthegmat)
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