If the standard deviation of the numbers 2 ,3 ,2x and 11 is 3.5. Find the possible values of x.

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Accepted Answer

Correct answer: D. (d) Given standard deviation =3.5 So, mean of the given numbers is Mean (x )= 2+3+2x+114=(4+ x2) ^2= 1n (x_i-x)^2 ⇒ (3.5 )^2= 14((-2- x2)^2+(-1- x2)^2)(+( 3x2-4)^2+(7- x2)^2) ⇒3x^2-16x+21=0 ⇒x= 73 ,3

$If the standard deviation of the numbers 2, 3, 2 x and 11 is 3.5. Find the possible values of x .$

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