Google is your (and my) friend. Just look for 'f ratio of human eye' and in the first hit you'll find this:
"Computing the f-number of the human eye involves computing the physical aperture and focal length of the eye. The pupil can be as large as 6–7 mm wide open, which translates into the maximum physical aperture.
The f-number of the human eye varies from about f/8.3 in a very brightly lit place to about f/2.1 in the dark.[8] The presented maximum f-number has been questioned,[9] as it seems to only match the focal length that assumes outgoing light rays.[clarification needed] According to the incoming rays of light (what we actually see), the focal length of the eye is a bit longer, resulting in maximum f-number of f/3.2.
Note that computing the focal length requires that the light-refracting properties of the liquids in the eye are taken into account. Treating the eye as an ordinary air-filled camera and lens results in a different focal length, thus yielding an incorrect f-number."