Answer to Question #191078 in Civil and Environmental Engineering for Joshua

Question #191078

The average grade for an exam is 74, and the standard deviation is 7. If 12% of the class is given grade A, and the grades are curved to follow a normal distribution, what is the lowest possible grade A?


1
Expert's answer
2021-05-13T07:20:00-0400

Standard Normal Distribution Table will be used to find the value of z for the required percentile. Supposed 12% of the class are to be awarded A's then z value is obtained at the 88th percentile from the Standard Normal Probability Table as follows .



0.8810 provides z= 1.18

then the neceresry score is obtained by setting

z=


x= the score to calculated


1.18=


x= ( rounded down)


x= 82 is the score required to receive an A.



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