Question

normal distribution with mean (average) = 72 and standard deviation = 13. how many percentages of students do you outperform if you got a grade of 78?

Answer 1

To find out how many percentages of students you outperform if you got a grade of 78, calculate the z-score and find the percentage below that score.

Step-by-step explanation:

To find out how many percentages of students you outperform if you got a grade of 78, you need to calculate the z-score for your grade and then find the percentage of students below that z-score.

First, calculate the z-score using the formula: z = (x - mean) / standard deviation.

In this case, the z-score is (78 - 72) / 13 = 0.46. Now, use a standard normal distribution table or a calculator to find the percentage of students below a z-score of 0.46, which is approximately 67.35%. Therefore, you outperform approximately 67.35% of the students.