Assume the average exam score is 80 points the standard devi

Assume the average exam score is 80 points, the standard deviation is 5 points, and the distribution of grades is bell-shaped around the mean. Use the empirical rule to determine the range of scores that will include approximately 99% of students around the mean.

Lower Bound :

Upper Bound :

Solution

By the empirical rule, 99% of data is at most 3 standard deviation below or above the mean.

Here, s = 5, thus, 3s = 15. Adding and subtracting this to the mean, 80,

Lower bound = 80 - 15 = 65
Upper bound = 80 + 15 = 95 [answer]