Given the score X=72, σ=4 and z=1.64, the value of μ is
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we use z calculations as below
define z = ( x- u )/(σ)
substituting in the above formula we have
1.64 = ( 72 - u ) / ( 4 )
solving for u from the above we obtain that u = ( 72 - 6.56 ) = 65.44 which is the required solution.