The scores on a standardized test normally distributed with a mean of 110 and standard deviation of 25. What score is 2.2 standard deviations above the mean?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 6CR
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The scores on a standardized test normally distributed with a mean of 110 and standard deviation of 25. What score is 2.2 standard deviations above the mean?
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Step 1

Here we need to find the score corresponding to  z = 2.2 standard deviations above the mean.

Mean is given by, µ = 110 

and standard deviation σ = 25

So, the the score will be , x = µ + σz

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