# Homework Help: Mode of a PDF - all data are unique

1. Sep 30, 2008

### abhipatel

Question is what is the mode when all data are unique? have a set wherein the actual question is what is the inference about the PDF for the data? Median > mean but no mode......i was under the impression that PDF is only for a continuous measurements...when data set is unique...in which case it should be a probability function & not PDF.

Please confirm...what is the mode and what if anything would the PDF look like in this case

2. Sep 30, 2008

The typical definition is that if all data values are different the data set does not have a mode.
I'm not sure what the rest of your question means - what kind of inference?
The abbreviation PDF is used for both of the following:
1. Probability density function (most common)
2. Probability distribution function (less common, but still done)

To which are you referring?

3. Sep 30, 2008

### HallsofIvy

If you have a distribution with a finite number of outcomes, each assigned a probabilty (which, of course, sums to 1), then that function (which, I think, is what you are calling the "probability function") is or at least corresponds to the PDF. It might be clearer if you were to show the entire problem.