Has US real median personal/household income been stagnant since the late 1970's/early 1980's? This is referring to an earlier question: Why are real median household incomes stagnant?

How do the following graphs actually tell you that US real median personal/household income has been stagnant since the late 1970's/early 1980's?


Real Median Personal Income in the United States





Real Median Household Income in the United States




How are these graphs in line with the following graph, which does look more like stagnant wages (when comparing wages in constant dollar):


For most workers, real wages have barely budged for decades




as well with the following graph which also seems to show stagnant wages:


Wage Stagnation in Nine Charts
As said in the comments, there is an important difference between household income and wages. Household income includes income from capital. As a higher share of total income is going to capital than to labour (see below), you would expect a divergence between household and wages. 



Similarly, productivity increases are not being translated into higher wages, which means a higher distribution of gains toward capital (see below).



(Source of image here)

Another important issue is that the median can be a misleading figure when distributional changes are occurring. For instance, below is the percentile level of household income for the US:

 

(Source of image here)

As you can see, the median can mask quite an heterogeneous development for different percentiles. Since lower percentiles source their household income mainly from wages, a stable median wage but an increasing median income is entirely consistent with higher inequality plus lower labour share.