What is the difference between z-scores and percentiles?

What is the difference between z-scores and percentiles?

Z-scores indicate how many standard deviations an element is from the mean, while percentiles show the relative standing of a value in a dataset.

Can you give me an example of how to calculate a z-score?

Sure! To calculate a z-score, subtract the mean from the value and then divide by the standard deviation. For example, if the mean is 50 and the standard deviation is 10, a value of 60 would have a z-score of (60-50)/10 = 1.

How do percentiles work in a dataset?

Percentiles divide a dataset into 100 equal parts. For instance, if you are in the 70th percentile, you scored better than 70% of the data points.

When should I use z-scores instead of percentiles?

Use z-scores when you need to understand the position of a value in relation to the mean and standard deviation. Percentiles are better for understanding relative standing in a dataset.