If you look in the health statistics section of a public library or in the reference collection of a research library you will find standard compilations of health indicators, but these sources may only cover some of the material.
The point here is that different creators of health statistics use different vehicles for publication and these may change over time. It is important to identify the particular method used by the agency.
Release procedures for health statistics include:
Issuing agency reports and including them on the agency’s website. These are indexed in the American Statistics Index which is available in many research libraries. Most federal and state reports of health statistics are available from the websites of agencies that issue the reports. The reports are frequently issued as a series. When searching for material, it is useful to examine the list of reports in the logical series. One example, is the series of reports issued by NCHS. See here for a review of these series.
Publishing articles in the scholarly literature [for these see PubMed] or the websites of agencies which frequently provide bibliographies of published reports. For an example of this see the MEPS website which maintains a database of publications based on the survey.