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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