meteorometer

from The Century Dictionary.

• noun An apparatus for automatically transmitting from a local station, and showing or recording at a central station, the various weather items, such as direction of wind, rainfall, barometric pressure, temperature, etc. It is usually operated by electricity.

from the GNU version of the Collaborative International Dictionary of English.

• noun An apparatus which transmits automatically to a central station atmospheric conditions as marked by the anemometer, barometer, thermometer, etc.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• noun An apparatus that automatically transmits atmospheric measurements to a central station.