Question

27.
In a certain statistics class. he
average grade is 83% with a standard deviation of 4.2%. What
the z-score corresponding to
grade of 81.8%?
-5.04
B.O-1.2
c.O-0.29
D.® 1.2

Answer 1

The corresponding z score for a grade of 81.8% for a class with average grade of 83% and standard deviation of 4.2% is -0.29.

What is a z score?

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean) / standard deviation

Given that mean is 83%, standard deviation = 4.2%, for x = 81.8:

z = (81.8 - 83)/4.2 = -0.29

The corresponding z score for a grade of 81.8% for a class with average grade of 83% and standard deviation of 4.2% is -0.29.

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