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Currently learning about PSD curves to which I have a query regarding the attached curve.

Why is the RMS value greater than its mean square value. I understand the RMS to be the the square root of the area under the curve and thus should always be less than the area of the curveenter image description here.

What am I missing? Thanks

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    $\begingroup$ err.. $\sqrt{\frac14} = \frac12 > \frac14$, meaning that $\sqrt{x}$ can be larger than $x$! (That's the case for any $0<x<1$.) $\endgroup$
    – Marcus Müller
    Apr 20, 2020 at 9:40
  • $\begingroup$ OK Thanks. This raises questions from a random vibrations perspective. $\endgroup$
    – shoggananna
    Apr 20, 2020 at 10:03

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