What is the Difference Between Percentile and Percentage?

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The key difference between percentage and percentile lies in their purpose and interpretation:

  • Percentage: A percentage is a mathematical value expressed out of a total of 100. It is used to compare quantities and represents a specific portion of a whole. For example, if a student scored 80% on a test, it means they correctly answered 80 out of 100 questions.
  • Percentile: A percentile is a relative value that indicates the position or rank of a specific value within a distribution. It is used to compare the performance of individuals in relation to a group. For example, if a student scored in the 80th percentile on a test, it means they performed better than 80% of the other test-takers.

In summary:

  • Percentage is a mathematical unit of measurement that displays the answer out of a total of 100.
  • Percentile is a measure used in statistics that indicates the relative value, helping in understanding the position or rank of a specific value.

Comparative Table: Percentile vs Percentage

Here is a table that highlights the differences between percentage and percentile:

Feature Percentage Percentile
Definition A number or ratio expressed in terms of 100. A measure used in statistics which indicates the relative value.
Purpose Shows the rate, number, or amount. Indicates the position or standing of a person.
Expression Can be expressed in decimals. Cannot be expressed in decimals.
Focus Individual performance. Relative performance.
Comparison Does not help to compare the given value with the rest of the data. Helps to compare the given value with the rest of the data.
Calculation Calculated by dividing the given value by the total value and multiplying it by 100. Calculated by finding the percentage of scores that fall at or below a certain point.

In summary, percentage is a way of expressing a part of a whole as a fraction of 100, while percentile is a way of dividing a data set into 100 equal parts and indicating the relative position of a score within that dataset.