How to determine the range of the Transmitter of following

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I guess the data is transmitted around 50-100m in a wide area..
 

Actual range depends on many things, Some things:
-reguired reliability of the link
-Receiver sensitivity
-transmitter and receiver antenna
-height above ground and orientation of receiver and transmitter
-RF environment (obstacles in between?, indoor/outdoor?, etc)
-fixed (point to point) versus mobile use
-local interference
-data rate and coding (think of error correcting or detecting coding).
-supply voltage (large influence on RF output power).

Depending on your situation, you select a certain propagation model to assess the range.
 

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