A client device includes a display and a processor configured to obtain a data stream from a remote sensor via a communication protocol. The remote sensor is a physiological sensor monitoring a subject and/or an environmental sensor monitoring an environment in a vicinity of the subject, and the data stream includes a sensor metric, a metric identifier, and dynamically updated integrity information about the sensor metric. The processor is also configured to identify a statistical distribution function associated with the remote sensor via a function selector associated with the communication protocol, and display, via the display, the sensor metric with statistical information about the sensor metric using the identified statistical distribution function.