Do you have another Android device (like a phone, maybe) that you'd previously connected to that same Wi-Fi point?

Android 4, Ice Cream Sandwich, (and possibly older versions too, though I don't have any to hand to check) has an option to sync saved Wi-Fi passwords between different Android devices on the same Google account. Here's the option under **Settings** -> **Backup & Reset** on my phone:

![ICS Backup & Reset settings screen][1]


There are also apps that allow you to [sync Wi-Fi passwords between your laptop and your Android devices][2], though I assume you'd know if you had one of those installed.


  [1]: http://i.stack.imgur.com/6cEG1.jpg
  [2]: http://lifehacker.com/5872579/wi+fi-pc-sync-makes-sure-your-android-phone-can-connect-to-any-network-your-pc-can