Question

2. According to the chart, 11% of all students at this high school have GPA of 3.5 of higher and 14% have GPAs of 1.5

or lower. What percentage of all students have GPAs between 1.5 and 3.5? Show your work. Do not round your
result.

Answer 1

75% of all students have GPAs between 1.5 and 3.5

Explanation:

11% of all students at this high school have GPA of 3.5 of higher:

This means that a GPA of 3.5 is in the 100 - 11 = 89th percentile, that is, a student that gets a GPA of 3.5 has a higher GPA than 89% of students.

14% have GPAs of 1.5 or lower.

This means that a GPA os 1.5 is in the 14th percentile, that is, a student that gets a GPA of 1.5 has a higher GPA than 14% of students.

What percentage of all students have GPAs between 1.5 and 3.5?

Percentile of 3.5 subtracted by the percentile of 1.5.

89 - 14 = 75%.

75% of all students have GPAs between 1.5 and 3.5