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Arduino ADC usage

Hey all, is anyone savvy with arduino boards? 

I'm looking to use one to perform an analog to digital conversion on a measurement signal coming from a sensor.

The signal range is up to around 9V so I've potential divided this down by half so any value should be readable by the adc.

I've then used the analog read function on a0 and then done some cals to work out the source voltage and corresponding sensor pressure. 

What I'm struggling with is the input to the arduino, because when using the serial monitor the ADC signal outputted is seemingly random, and goes up and up then begins at zero again. 

Is this pin float? I feel like it is.