Government-mandated minimum wage is effective price control, which never works. It has the effect of taking people who are not qualified to produce enough value to justify the minimum wage out of the job market. It's a mechanism to keep poor people poor.
CPI barely reflects the actual inflation of the currency. Whatever it doesn't cover in its calculation tends to get overinflated. The government designs the CPI to be low in comparison to "real" monetary inflation so that it can get away with printing more money.