Difference between percentage and percentile

Difference between percentage and percentile

What is the difference between percentage and percentile?

Both percentage and percentile are used to express data points in relation to a whole, but they serve different purposes. Here’s a breakdown to understand the key differences:

Percentage:

  • Represents a portion out of 100: A percentage is a numerical value expressed as a fraction of 100. For example, 50% represents 50 out of every 100 units.
  • Indicates a specific value: Percentages tell you the exact value within a dataset. If you score 80% on a test, you got 80 out of 100 possible points.
  • Wide range of applications: Percentages are used in various situations, from expressing discounts (20% off) to battery life (75% remaining).

Percentile:

  • Represents the position in a ranked list: A percentile indicates the percentage of values in a dataset that fall below a specific value. For example, a score at the 75th percentile means you scored higher than 75% of the people who took the test.
  • Indicates relative position: Percentiles don’t give you the exact value, but rather your relative standing compared to others.
  • Useful for comparisons: Percentiles are helpful for comparing your performance to a group. Knowing you’re at the 90th percentile in a class tells you, you scored higher than 90% of your classmates.

Example

Here’s an analogy to illustrate the difference:

Imagine a class of 100 students.

  • Percentage: If a student scores 80%, they got 80 out of 100 questions correct (specific value).
  • Percentile: If a student scores at the 75th percentile, they scored higher than 75 out of the 100 students (relative position).

In essence

  • Percentages tell you what a value is (specific amount).
  • Percentiles tell you where a value falls within a set (relative position).

When to use which

  • Use percentages when you need to express a specific value relative to a whole (e.g., exam scores, discounts).
  • Use percentiles when you want to compare a value to a ranked list and understand its relative position (e.g., class rankings, salary percentiles).

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Reference: Khan Acedemy

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