Percentage vs. Percentile
Percentage and percentile are two terms that are often used in statistics and mathematics, but they have different meanings and applications.

Percentage
- A percentage is a way to express a number as a fraction of 100. It is used to compare two quantities or to show the proportion of a quantity relative to a whole.
- Percentages are commonly used in everyday life, such as when calculating discounts, interest rates, or grades.
- For example, if you score 80% on a test, it means you answered 80 out of 100 questions correctly.

Percentile
- A percentile is a way to rank data points in a data set. It indicates the percentage of data points that are equal to or below a given value.
- Percentiles are used to compare individual data points to the rest of the data set and to understand the distribution of data.
- For example, if you score in the 90th percentile on a standardized test, it means that you scored higher than 90% of the test takers.

Differences
- The key difference between percentage and percentile is that a percentage is a relative measure that compares two quantities, while a percentile is an absolute measure that ranks data points within a data set.
- Percentages are used to express proportions or ratios, while percentiles are used to rank individual data points within a distribution.
- Percentages are always out of 100, while percentiles can range from 0 to 100 depending on the distribution of data.
In conclusion, while both percentage and percentile are important concepts in statistics, they serve different purposes and should not be confused with each other. Understanding the distinction between the two can help in accurately interpreting and analyzing data.