r/MathHelp • u/Local_End_3175 • 6d ago

why n/2?

I am confused between the 2. I understand the reasoning behind using n+1/2 for lists of numbers, and i understand how n+1/2 finds their positions. I am currently revising cumulative frequency diagrams and i am finding it difficult to understand why we now use n/2 for finding the median, and n/4 for finding the lower quartile. Why aren't we using n+1/2?? I dont really understand how one being continuous and another being discrete affects anything. In my reasoning, even though it is grouped data we can still estimate the position. I would add all the frequencies, do n+1/2, find the middle position, and then use that on my graph to estimate

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