Hi,



Normal Distribution:

µ = 496  ,   σ = 114      



 z = (334-496)/114  = -1.4 (nearest tenth)



 z = (375 - 496)/114 = -1.1

Which student scored better based on their z score, Billy or Xito

  -1.4 < -1.1   Billy z-score further away from the mean.

Wish You the Best in your Studies.



For the normal distribution: 

one  standard deviation from the mean accounts for about 68.2% of the set 

two standard deviations from the mean account for about 95.4%

and three standard deviations from the mean account for about 99.7%.

Important to Understand z -values as they relate to the Standard Normal curve:

 

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