You could take a look at traditional graphing tools such as:
But all of the above need quite a lot of work and generally are looking to display on a global or national scale.
I would suggest taking a look at QGIS which will allow you to overlay a variety of data onto maps derived from various sources, down to street level there is a list of data sources on the QGIS site, and provides a GUI that you can turn on or off the various overlays easily.
You will need to pre-process your data from your sensors to generate a number of overlays such as peak noise level per day, number of daylight hours with peak levels above a given value for more than a given time - the same for nighttime, etc. and for this I would suggest using python & pandas to generate the overlays which I understand is something of a standard practice in Geographic Information Systems.
One possibility that I would suggest is for each point plot a heat map with the lower limit being the distance at which the noise falls to some acceptable level and the colour density being the amount of time that the noise was at this level. A very nice tutorial on doing something similar is available here.
You can even produce animations of your data with some extensions.
- Free, Gratis and Open Source
- Cross Platform Windows, OS-X & Linux
- Runs on your local machine(s)
- Very active user community including on GIS/SO
ArcGIS Online is also a very respectable and easy to use package for plotting your information and has the advantage of running on a cloud platform but is a charged for service - there are some plans that you might qualify for that reduce the cost. It does have the advantages that the basemaps may well already be provided and that your credits include some techincal support.