SOLUTION: in a population of exam scores, a score of x=48 corresponds to z=+1.00 and a score of x=36 corresponds to z=-0.05. find the mean and standard deviation for the population. hint.

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Question 549671: in a population of exam scores, a score of x=48 corresponds to z=+1.00 and a score of x=36 corresponds to z=-0.05. find the mean and standard deviation for the population.
hint. sketch the distribution and locate the two scores on your sketch.
Answer by stanbon(75887) (Show Source):
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in a population of exam scores, a score of x=48 corresponds to z=+1.00 and a score of x=36 corresponds to z=-0.05. find the mean and standard deviation for the population.
hint. sketch the distribution and locate the two scores on your sketch.
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Using x = zs+u you get two equtions:
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48 = s + u
36 = 0.05s + u
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Solve for "s" and "u":
u = 48-s
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Substitute for "u" and solv for "s":
36 = 0.045s + (48-s)
-12 = -0.995s
s = 12.56
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Solve for "u":
u = 48-s
u = 35.43
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Cheers,
Stan H.
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