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If you are faced with multiple intervals in a cdf and asked to find the median, which would you pick? The intervals are all 1 e.g. 0<x<1 and 1<x<2
Original post by V0ldemort17
If you are faced with multiple intervals in a cdf and asked to find the median, which would you pick? The intervals are all 1 e.g. 0<x<1 and 1<x<2


You pick the interval a1≤x≤a2a_1 \leq x \leq a_2, where F(a1)≤0.5F(a_1) \leq 0.5 and F(a2)≥0.5F(a_2)\geq 0.5. Because the median is where F(m) = 0.5 and F is increasing.
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Original post by morgan8002
You pick the interval a1≤x≤a2a_1 \leq x \leq a_2, where F(a1)≤0.5F(a_1) \leq 0.5 and F(a2)≥0.5F(a_2)\geq 0.5. Because the median is where F(m) = 0.5 and F is increasing.


Thank you!!

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