Its clear you have a lot of what we call jitter on the broadband line.
Its most likely an ADSL connection through a telephone line. The connection is governed by the quality of the line since it is made of copper,and the distance from the local exchange and the strain put on it by other users.
If the case you are better opting for a fiber optic connection if you can, untill then phone the Isp up see what they can do to improve it.
Take the wireless out and use a wired Ethernet cable also it may help.