percentage of the values in a data set lie at or above the \( 30^{\text {th }} \) percentile

The \( 30^{\text{th}} \) percentile is a value below which 30% of the data points fall. This means that if you're looking at a data set, 30% of the values are at or below this \( 30^{\text{th}} \) percentile. Therefore, the percentage of values that lie at or above the \( 30^{\text{th}} \) percentile is simply \( 100\% - 30\% \), which equals \( 70\% \). Voilà! You've got 70% of the data points hanging out above that threshold, which can help in analyzing distributions. Understanding percentiles is crucial in real-world applications, such as education and health metrics. For instance, in education, if a student scores in the \( 30^{\text{th}} \) percentile on a test, it implies they performed better than 30% of their peers but may need additional support to reach the average or higher percentiles. Knowing how to interpret these rankings can help educators tailor interventions effectively!