Your live graph looks pretty typical for a Virgin Media cable connection in the UK. Cable uses a technology called DOCSIS (stands for Data Over Cable Service Interface Spec) and is very different to the technology used by other broadband providers, the old ADSL, the newer FTTC / VDSL and the latest "full fibre" which is FTTP.
If you are a gamer whom needs "low ping" then Virgin may not be the right ISP for you, however if you need fast downloads of the latest very large games and patches, they are often the only super high speed provider in an area (unless you have an FTTP provider in your town).
To understand your 31st May picture we would need to know if you were using the connection heavily at this time. If you were, this may be normal.
As these are really Virgin Media questions, rather than BQM questions, you will get more people whom know about Virgin's network in the Virgin Media sub forum:
https://forums.thinkbroadband.com/virgin_cable.html
22 years of broadband connectivity since 1999 trial - Live BQM