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Normal Probability Distribution

1. In a normal probability distribution (of unknown mean and variance). How do the first and the third quartiles relate to the mean?
2. (Original post by dharshu)
In a normal probability distribution (of unknown mean and variance). How do the first and the third quartiles relate to the mean?
I think it has something to do with,

The mean and median is the same in normal distribution.

The IQR is 50% of the data, as Q3 is the 75th percentile and Q1 is the 25th percentile. The mean has 50% of the data on the right and 50% on the left.

I believe its something along those lines, correct me if I'm wrong.

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