A statistical process control system employs a consistent soot blowing operation for a heat exchange section of, for example, a fuel burning boiler, collects heat absorption data for the heat exchange section and analyzes the distribution of the heat absorption data as well as various parameters of the heat absorption distribution to readjust the soot blowing operation. The statistical process control system may set a desired lower heat absorption limit and a desired upper heat absorption limit and compare them, respectively, with an actual lower heat absorption limit and an actual upper heat absorption limit to determine the readjustment to be made to the soot blowing operation. Alternatively, the statistical process control system may be used to determine permanent slagging of the heat exchange section.