Difference Between Percentage And Percentile With Example ?
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| Difference Between Percentage And Percentile |
Percentage and percentile are both terms used to describe parts of a whole, but they have different meanings and applications:
1. Percentage: A percentage is a way to express a proportion or a part of a whole, often represented as a fraction of 100. For example, if you score 80 out of 100 on a test, your score can be expressed as 80%. Percentages are commonly used to represent proportions, rates, and comparisons. They are often used in contexts such as finance, statistics, and everyday calculations.
2. Percentile: A percentile, on the other hand, is a statistical measure used to describe the position of a particular value within a dataset. It indicates the percentage of data points that are equal to or below a specific value in the dataset. For example, if you score in the 90th percentile on a standardized test, it means that your score is higher than 90% of the other test-takers. Percentiles are commonly used in fields such as education, healthcare, and market research to compare individuals' or entities' performances relative to others in a group.
In summary, while both terms involve proportions, percentages are used to express parts of a whole in general, while percentiles are used to describe the position of a value within a dataset relative to other values.
Here are some additional details about percentages and percentiles:
1. Calculation:
Percentage: To calculate a percentage, you typically divide the part by the whole and then multiply by 100. For example, if you have 30 red balls out of a total of 100 balls, the percentage of red balls would be (30/100) * 100 = 30%.
Percentile: Percentiles are calculated by sorting the data points in ascending order and then identifying the position of a particular value within the dataset. For example, if you're in the 75th percentile for height among your age group, it means that 75% of the people in that group have a height equal to or below yours.
2. Interpretation:
Percentage: Percentages are often used to compare different quantities or express changes over time. For example, if a company's sales increased by 20% this year, it means that the sales are now 20% higher than they were last year.
Percentile: Percentiles are used to understand the distribution of values within a dataset and to compare individual values relative to others. For instance, if a child is in the 90th percentile for weight among children of the same age and gender, it indicates that the child's weight is greater than that of 90% of children in that group.
3. Applications:
Percentage: Percentages are widely used in various fields such as finance (interest rates, profit margins), academics (test scores, grades), and demographics (population percentages).
Percentile: Percentiles are commonly used in standardized testing (SAT scores, IQ tests), healthcare (growth charts, diagnostic tests), and market research (income distribution, consumer behavior analysis).
In essence, percentages provide a simple way to express proportions, while percentiles offer a way to understand where a particular value stands within a distribution of values. Both concepts are valuable tools in different contexts for analyzing and interpreting data.
Here are examples illustrating the concepts of percentage and percentile:
Example of Percentage:
Let's say you have a class of 50 students, and 30 of them scored above 80 on a math test.
To calculate the percentage of students who scored above 80:
Number of students who scored above 80: 30
Total number of students: 50
Percentage = (30/50) * 100 = 60%
So, 60% of the students in the class scored above 80 on the math test.
Example of Percentile:
Consider the heights of students in a class. Let's say the heights (in centimeters) of the students are as follows (sorted in ascending order):
150, 155, 160, 165, 170, 175, 180, 185, 190, 195
Now, let's say you want to find out the 70th percentile height in the class. This means you want to find the height below which 70% of the heights lie.
Given that there are 10 students in the class, 70% of 10 is 7.
Counting from the lowest height, the 7th height is 180 cm.
So, the 70th percentile height in the class is 180 cm. This means that 70% of the students have a height of 180 cm or less.
These examples demonstrate how percentages and percentiles are used to interpret and analyze data in different contexts.
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