Ask AI: Given a set of values, how do you calculate the percentile rank of any one of those values (x)?

To calculate the percentile rank of a value (x) within a given set of values, follow these steps: 1. Arrange the values in ascending order. 2. Count the number of values less than x (let's call this count "L"). 3. Count the number of values equal to x (let's call this count "E"). 4. Count the total number of values in the dataset (let's call this count "N"). Now, you can use the following formula to calculate the percentile rank (P): P = [(L + 0.5 * E) / N] * 100 Here's a step-by-step example: Given dataset: {5, 8, 12, 15, 20, 20, 20, 25, 30} Value (x) to find percentile rank: 20 1. Arrange the dataset in ascending order (already ordered in this case). 2. Count L: There are 4 values less than 20 (L = 4). 3. Count E: There are 3 values equal to 20 (E = 3). 4. Count N: There are 9 values in total (N = 9). Now, plug these counts into the formula: P = [(4 + 0.5 * 3) / 9] * 100 P = [5.5 / 9] * 100 P ≈ 61.11 Therefore, the percentile rank of the value 20 in this dataset is approximately 61.11%.