When I am trying to implement a pressure sensor through instrumentation amplifier and then giving it's output to Arduino, I am getting garbage value due to noise, so how to eliminate it.
Physically you can use a differential amplifier or analog filter (probably you need a low-pass filter). However, an easier method would be taking averages for the data in time intervals.
Some types of sensor always need filters. Amplified electrical signals, as you may know, there are several harmonics that make up the signal, and some may have greater intensity which make it difficult to read the signal of interest.
A good amplifier must have a signal filter capable of attenuating certain frequencies that are interpreted as noise.
If not, I think you should use some applications of digital filters or even with traditional electronic components.
Use multiple RC filters. Or Use Wein bridge to find the difference in the signals and give a feedback to the instrumentation amplifier with a op-amp amplifier and a comparator.
Arduinos are notoriously noisy. Arduino power supplies are not well filtered, so you get a lot of noise that way. If you run through the USB port, you get any noise that might be coming from the computer. Have you ever used a pair of USB powered speakers? Same problem. Make sure you are using a linear regulated power supply, not a switching supply (unless it is very high quality). The other option is to go with batteries. If you run the Arduino through the DC jack, make sure to use at least 7V (lithium 2S if using batteries) to get the full 5V out of the on-board regulator. If your VCC is low, your analog readings will seem too high because the internal AREF is derived from that and assumed to be 5V. Best of luck!