1955-2017: https://www.statista.com/chart/18418/real-mean-and-median-fa...
1984-2021: https://fred.stlouisfed.org/series/MEHOINUSA672N
(I couldn't find a single series that ran 1950s through 2021/2022, so had to use two above.)
Edit: this math is bad, see sokoloff's comment below.
https://www.investopedia.com/terms/r/real-value.asp
A year showing any growth in real terms is a nominal growth that is higher than inflation.
That being said, there's definitely a disconnect. The CPI metric is constantly changing, and is such a broad economic indicator that many people's experiences will not "feel" like what the federal data suggests.
The root of the growing wealth gap is the massive deficit we've been running. Especially since the GFC, the strategy has been to rack up a bunch of debt and inflate that debt away. This inflates the value of financial assets, property, and commodities...none of which is owned by the average joe whose cash savings gets destroyed in the interim.
> none of which is owned by the average joe
About 66% of US households "own" a home (often with a fixed-rate mortgage, which makes rising inflation doubly good for those homeowners) and 58% of homes are owner-occupied. The median Joe is a homeowner, not a renter.
That divergence reached 2:1 around 1929, and (as always happens when currency is inflated while being pegged to something else) a massive correction occurred (the banks collapsed). The response by FDR was to make it illegal to trade dollars for gold.
Then for decades there was the absurd fiction that the dollar was pegged to gold, but of course nobody was allowed to make such a transaction. This continued until the 1970s when that ersatz pegging was repealed.
This type of argument makes it seem that workers are at fault for inflation. That isnt true. Workers are stuck in an inflation loop until inflation is tamed.
The inflation loop didnt start with greedy workers, it started with prices going up due to monetary policy...catalyzing the loop.
In other words, the reason the system demands higher prices if wages go up (while the worker demands higher wages if the prices go up because they literally need money to survive) is not simply that higher wages drive up production cost but that businesses also need to maintain and increase their profits, i.e. the surplus that remains after all stock is sold, all services are rendered and all costs are paid.
There is no way to change this within the system but concluding that this means the problem is unsolvable mistakenly assumes the system can not be modified or replaced with one that does not have this resource allocation problem. Such a change just wouldn't benefit those currently holding a disproportionate amount of resources and wealth as much as the rest of us so it's not likely to happen without sufficient external force (and even then only if that energy is not directed elsewhere).