# Mathematics?

•  2

When he is best, then he should got 100th percentile except 99th.

Why we can not write 100th percentile.

We always got 99th percentile.

silver park 743Why we can not write 100th percentile.

The percentile of a given value is determined by the percentage of the values that are smaller in the group than that value.

For example, a test score that is higher than 95 percent of the other scores is in the 95th percentile.

A test score cannot be higher than 100% of the other scores because it is in that group and cannot be higher than itself!
It can be higher than 99% of the other scores because that group contains 1% of the group's highest scores.

silver park 743Why we can not write 100th percentile?

A person who scores in the 100th percentile has a score that is higher than the scores of 100% of the people who took the exam. It's logically impossible.

Suppose the scores are as follows:

35, 42, 21, 28, 45, 38, 37

Which of those is higher than every score listed? (You can't say '45', because it's not higher than '45'.)

CJ