Let X have a normal distribution with standard deviation a Prove that the IQR is 21(0 75) b Prove that the median absolute deviation is 1(0 75) ...

a The quantile function of the normal distribution with mean ...

Let X have a normal distribution with standard deviation . a. Prove that the IQR is 21(0.75)

Question:

Let X have a normal with standard deviation σ.
a. Prove that the IQR is 2Φ−1(0.75)σ .
b. Prove that the median absolute deviation is Φ−1(0.75)σ .
Distribution
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