Question 1053959
Need to Know:
z = invNorm(Percentage). Percentage listed as a decimal for arithmetic purposes.
That Percentage being to the Area under the standard Normal Curve to the left of that z - value
Ex: Just a Visual of areas left of the Green Lines for various z-values
{{{drawing(400,200,-5,5,-.5,1.5, graph(400,200,-5,5,-.5,1.5, exp(-x^2/2)), green(line(1,0,1,exp(-1^2/2)),line(-1,0,-1,exp(-1^2/2))),green(line(2,0,2,exp(-2^2/2)),line(-2,0,-2,exp(-2^2/2))),green(line(3,0,3,exp(-3^2/2)),line(-3,0,-3,exp(-3^2/2))),green(line( 0,0, 0,exp(0^2/2))),locate(4.8,-.01,z),locate(4.8,.2,z))}}}
mean is 60 and the standard deviation is 10
{{{highlight(F)}}} top score: invNorm(.05) = -1.64485  Use Calculator
 {{{z =blue (x - mu)/blue(sigma)}}} 0r {{{blue(sigma)*z + mu=blue (x)}}}
{{{blue(10)*z + 60=blue }}} Top F score
{{{highlight(A)}}} least score: invNorm(.95) = 1.64485     Calculator
{{{blue(10)*z + 60=blue (score)}}}
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{{{highlight(D)}}} least score:  one more than Top F score

{{{highlight(D)}}} top score: invNorm(.20)= z {{{(.15 + .05)}}}
{{{blue(10)*z + 60=blue (score)}}}

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{{{highlight(C)}}} least score: one more than top D . 
{{{highlight(C)}}} top score:invNorm(.80) =z  {{{.60+.20}}}
{{{blue(10)*z + 60=blue (score)}}}
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{{{highlight(B)}}} least score: one more than top C . 
{{{highlight(B)}}} top score: One less than bottom A score