Questions: The professor assigns grades in the modern poetry class according to where a student's average is located in the following diagram. The averages in a class are 72, 76, 71, 94, 92, 78, 81, 84, 80, and 89. Suppose the professor assigns grades using the method shown below. Averages on the border are assigned the higher grade. What grade does the person earning the 89 get?

The professor assigns grades in the modern poetry class according to where a student's average is located in the following diagram. The averages in a class are 72, 76, 71, 94, 92, 78, 81, 84, 80, and 89. Suppose the professor assigns grades using the method shown below. Averages on the border are assigned the higher grade. What grade does the person earning the 89 get?
Transcript text: The professor assigns grades in the modern poetry class according to where a student's average is located in the following diagram. The averages in a class are $72,76,71,94,92$, $78,81,84,80$, and 89 . Suppose the professor assigns grades using the method shown below. Averages on the border are assigned the higher grade. What grade does the person earning the 89 get?
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Solution

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Solution Steps

Step 1: Understand the Grading System

The professor assigns grades based on where a student's average falls within a range. The ranges are divided by standard deviations from the mean.

Step 2: Identify the Student's Average

The student's average is 89.

Step 3: Determine the Corresponding Grade Range

Locate 89 on the provided diagram. It falls within the range of "A" grades, which is above the highest standard deviation boundary.

Final Answer

The person will get an A.

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