I will be using Riot's own Champion Balance Framework (Found here and here) to prove my point, along with u.gg as the source for my statistics, which has been confirmed by multiple Riot sources to be the most accurate option available. (I am aware there was a Rioter that stated that some statistics there were incorrect, but that was a case for champions with very low playrate samples, which u.gg added an alert for in the same week).
Right off the bat, Malphite is a grave offender in terms of winrate in average play and skilled play, where winrate is considered as a metric. He boasts an overall winrate of 53.1%. This wouldn't be an issue if his pickrate and banrate were low, but Malphite is the 3rd highest picked Champion with an overall 9.8% pickrate and a 29.9% banrate in Plat+, which makes him the 2nd most banned top laner after Akali, which is banned more often because of mid lane than top lane. (her pickrate in mid compared to top proves this).
Considering that the formula they use for nerfing champions is a ratio of 52-54% winrate to below average banrate (ABR) - 5x ABR, and the fact that the average ABR is around 7% (Source is the first Balance Framework Link), Malphite is very much guilty of being a statistically overpowered champion according to Riot's own Balancing system, and he's been like this since the beginning of pre-season, with variance in numbers throughout the patches but always being an offender in regards to the Balance Framework, yet Riot has mostly ignored his blatantly overtuned state and have only given him a small slap on the wrist nerf.
TLDR - Malphite is statistically broken using Riot's own Balance Framework (it's in the title, duh).
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