Inflation rose at a 4% annual rate in May, the lowest in 2 years

[progree]

2. Graphs (the Core CPI, which traditionally is the favorite measure of the Fed, is stubbornly stuck)

though nowadays they look at things like "supercore service inflation" and core ex shelter and who knows what other series.

Edited to add Same graph as above but CPI and CORE CPI shown separately for less clutter and more clarity



Various series:

BLS CPI press release: https://www.bls.gov/news.release/cpi.nr0.htm
CPI: https://data.bls.gov/timeseries/CUSR0000SA0&output_view=pct_1mth
CORE CPI: http://data.bls.gov/timeseries/CUSR0000SA0L1E&output_view=pct_1mth

For all BLS timeseries data, one can see the index values and other periods like rolling 3 month, rolling 6 month, rolling 12 months by clicking "More Formatting Options" on the upper right and then on the page that shows up, check the various checkboxes

REAL AVERAGE HOURLY EARNINGS of production and non-supervisory workers https://data.bls.gov/timeseries/CES0500000032 ,
. . . private workers: https://data.bls.gov/timeseries/CES0500000013

CPI excluding shelter - https://data.bls.gov/timeseries/CUUR0000SA0L2
. . . FRED: https://fred.stlouisfed.org/series/CUUR0000SA0L2
. . . Table 3 has CPI ex shelter, as well as Core ex shelter https://www.bls.gov/news.release/cpi.t03.htm

Rent (SA) https://data.bls.gov/timeseries/CUSR0000SEHA
Fred: (SA) Rent of Primary Residence in U.S. City Average https://fred.stlouisfed.org/series/CUSR0000SEHA
(NSA) https://fred.stlouisfed.org/series/CUSR0000SEHA

SA = Seasonally Adjusted, NSA = Not Seasonally Adjusted