# If I have the 1st to 99th percentile of height of men for example, can this information be used to get the probability of a certain height?

Let's just say we know 1st to 99th percentiles of the height of men in country X.

Could I use this data to answer the question:

What is the probability of a male in this country being greater than 6ft?

If I have the following percentile information:

We can see that 6ft is the 60th Percentile.

So the probability of a male being greater than 6ft is 1-(60/100) = 0.4 or 40%

This makes sense to me, however it has been many years since stats class.

• As a general warning, just from your data you can draw the conclusion you asked about as explained in the answer but you cannot make draw any conclusions on the average or variance just from the data table. Just from the table it could be possible that there are say 0.5% of people who are 200 feet tall which would totally throw off any averages computed from the numbers you have. Only if you also include context and use the fact that your data represents height of real human beings you can exclude such scenarios. Aug 9, 2023 at 7:15