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if population function x has mean M(x)=2 and M(x²)=8, find its standard deviation​

Sagot :

MrRoyal

The standard deviation of the population function is 2

How to determine the standard deviation?

The given parameters are:

M(x) = 2

M(x²)=8

The standard deviation is calculated using:

[tex]\sigma = \sqrt{M(x^2) - (M(x))^2[/tex]

Substitute known values

[tex]\sigma = \sqrt{8 - 2^2[/tex]

Evaluate the expression

[tex]\sigma = 2[/tex]

Hence, the standard deviation of the population function is 2

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