Question

Students taking a make-up test receive the following grades: 95, 78, 94, 88, 65, 81, 91, 75, 89, and 76. Which grade has a percentile rank of 30? The test score with a percentile rank of 30 is

Answer 1

75.

To find the score with a percentile rank of 30, we need to first arrange the grades in order from lowest to highest: 65, 75, 76, 78, 81, 88, 89, 91, 94, 95.

Next, we calculate the percentile rank for each score using the formula:

percentile rank = (number of scores below the given score / total number of scores) x 100

For example, the percentile rank for a grade of 75 is:

percentile rank = (2 / 10) x 100 = 20

This means that 20% of the scores are below 75. To find the score with a percentile rank of 30, we need to keep adding up the percentages until we reach a score with a percentile rank of at least 30.

percentile rank for 65 = 0
percentile rank for 75 = 20
percentile rank for 76 = 30

Therefore, a grade of 76 has a percentile rank of 30 on this test.