Abstract
The source material for the number of Wolf numbers is both archival records of disparate observations
and regular observatory observations. Many researchers rely on a series of Wolf numbers, including
restored data of archival records, although the properties and characteristics of the restored and reliable parts
of the series differ significantly. The parameters of the restored part itself are also contradictory. Naturally,
matching the properties of the reconstructed and reliable series will smooth the contradictions and expand
the array of more reliable data. Taking the relationship between the characteristics of significant cycles into
account, options for group correction of the average values of cycles I–IX are presented. Since local data
residuals play a lesser role when comparing extended fragments, by relying on the integral estimates of these
fragments (without detailing the conditions for their formation) we obtained more weighted interval estimates.
The parameters of intervals (groups of cycles) of a reliable series serve as the basis for correction.