What is the difference between percentile and quartile?

What is the difference between percentile and quartile?

Percentiles and quartiles are both measures of data distribution. A percentile indicates the value below which a given percentage of observations fall, while quartiles divide the data into four equal parts.

Can you give me an example of each?

Sure! For example, if you have a dataset of test scores, the 25th percentile (first quartile) is the score below which 25% of the scores fall. The 50th percentile (median) is the score below which 50% fall, and the 75th percentile (third quartile) is the score below which 75% fall.

How do I calculate percentiles and quartiles?

To calculate percentiles, you can use the formula: P = (n * k) / 100, where P is the position, n is the number of data points, and k is the desired percentile. For quartiles, you can find Q1, Q2, and Q3 using similar methods, often involving sorting the data.

Are there any tools to help with these calculations?

Yes, there are many statistical software tools and online calculators that can help you calculate percentiles and quartiles easily.