find the percentile rank of 4.6 out of these numbers:

1.8, 2.5, 3.9, 4.6, 4.7, 4.8, 4.8, 4.9

To find the percentile rank of a number, you need to determine how many numbers in the given set are less than or equal to the number you are interested in, and then express that count as a percentage. Here's how you can calculate the percentile rank of 4.6 from the numbers provided:

Step 1: Arrange the numbers in ascending order:
1.8, 2.5, 3.9, 4.6, 4.7, 4.8, 4.8, 4.9

Step 2: Count the number of values less than or equal to 4.6:
From the list generated in step 1, there are three numbers that are less than or equal to 4.6: 1.8, 2.5, and 3.9.

Step 3: Calculate the percentile rank:
To calculate the percentile rank, divide the count from step 2 by the total number of values in the set (including the value in question) and multiply the result by 100.

In this case, the count is 3, and the total number of values is 8 (including 4.6).
Percentile Rank = (3 / 8) x 100 = 0.375 x 100 = 37.5

Therefore, the percentile rank of 4.6, based on the given set of numbers, is 37.5.