What proportion of students scored outside of the area


Assume that the mean score on a normally distributed statistics quiz taken by 400 psychology students was 76, and the standard deviation was 8. Ben had a z-score of -1.2.

If someone gave a passing grade only to the top 25% of the class, what is the lowest score that would be considered passing? 

What scores cutoff the middle 40% of grades?

Lowest grade: 

Highest grade:

What proportion of students scored outside of the area between scores 66 and 86?

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