This statement is false. Eye color is not an example of ordinal data.
Ordinal data are things that are ranked. In other words, when you look at things where there is a first, a second, a third and so on, you have ordinal data. But eye color is not this kind of data. Blue eyes do not come before brown eyes or vice versa. Therefore, eye color is not an example of ordinal data.
I would classify eye color as nominal data. This is the sort of data where you have various classifications that are not ranked -- they are just different.