Method for operating speech recognition service, electronic device and system supporting the same

An electronic device is provided. The electronic device includes a communication module, a microphone receiving a voice input according to user speech, a memory storing information about an operation of the speech recognition service, a display, and a processor electrically connected with the communication module, the microphone, the memory, and the display. The processor is configured to calculate a specified numerical value associated with the operation of the speech recognition service, to transmit information about the numerical value to a first external device processing the voice input, and to transmit a request for a function, which corresponds to the calculated numerical value, of at least one function associated with the speech recognition service stepwisely provided from the first external device depending on a numerical value, to the first external device to refine a function of the speech recognition service supported by the electronic device.