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Question 1199277: Calculate the mean of a set of data with a standard deviation of 5.7, given that a value of 125.2 has a zscore of 2.3
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! standard deviation = 5.7
value of 125.2 has a z-score of 2.3
z-score formula is z = (x-m)/s
z is the z-score
x is the raw score
m is the mean
s is the standard deviation
when z = 2.3 and s = 5.7 and x = 125.2, z-score formula becomes:
2.3 = (125.2 - m) / 5.7
multiply both sides of the equation by 5.7 to get:
2.3 * 5.7 = 125.2 - m
add m to both sides of the equatio0n and subtract 2.3 * 5.7 from both sides of the equation to get:
m = 125.2 - 2.3 * 5.7 = 112.09
that's your mean
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