SOLUTION: : A set of 50 data values has a mean of 15 and a variance of 25. Find the standard score of a data value = 30.

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Question 551048: : A set of 50 data values has a mean of 15 and a variance of 25. Find the standard score of a data value = 30.
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

z = where =
and where when n > 30, we use the approximation s ≈ .
So in this problem we use ≈ s = = 5
z = = = 21.21320344.
That's an extremely high z-score but that's what you would
expect since 30 is so extremely far above the mean of 15.
Edwin
  

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