iOS Supervised Mode vs Privacy
Simply being supervised grants the following:


Remote wipe, which won't provide access to your information, only resetting the device.
Activation Lock bypass, allowing a reset device to be used again by the administrator.
Managed Lost Mode, providing the device's location (but you'll know about this through a large modal message).


Supervision also allows the administrator to install a number of features on the device, including a web proxy, allowing internet traffic to be monitored. To tell if these features have been installed, go to Settings → General → Profiles &amp; Device Management → profile name.