Question: Let X be a random variable with a continuous distribution such that the interquartile range (IQR) is . Prove that the IQR of aX +

Let X be a random variable with a continuous such that the interquartile range (IQR) is σ. Prove that the IQR of aX + b is aσ for all a > 0 and all b. 12. Let X be a random variable with a continuous such that the median absolute deviation is σ. Prove that the median absolute deviation of aX + b is aσ for all a > 0 and all b.

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