Mr. Variability is using a normal curve to assign exam grades for his class. This means students more than 2 standard deviations from the class mean will receive an F. If the class mean is 82% and the standard deviation is 4.5%, what would be the highest F on the exam?

Question

Mr. Variability is using a normal curve to assign exam grades for his class. This means students more than 2 standard deviations from the class mean will receive an F. If the class mean is 82% and the standard deviation is 4.5%, what would be the highest F on the exam?

Answer 1

well, 2 sd's would be 9%

so 82-9 = .....

Answer 2

To find the highest F on the exam, we need to determine the threshold beyond which a student's score would be more than 2 standard deviations away from the class mean.

First, let's calculate the value of 2 standard deviations by multiplying the standard deviation by 2:

2 * 4.5% = 9%

Next, we need to find the score at which a student would have a score of 2 standard deviations below the mean. This can be found by subtracting the result from the class mean:

82% - 9% = 73%

Therefore, any score below 73% would be more than 2 standard deviations below the mean and result in an F. Therefore, the highest possible F on the exam would be a score of 73%.