Radon is acknowledged an important health hazard. Indoor radon is believed to be the second cause of lung cancer after smoking. Therefore, indoor Rn has increasingly been subject to regulation for the last years; in Europe, the EU directive on basic safety standards for protection against ionizing radiation. Among other, it requires delineation of radon priority areas, i.e. areas in which action related to prevention and remediation of high indoor radon concentrations should be taken with priority. Whatever the exact definition of these areas, also in those not declared priority areas, high radon concentrations can occur, if with lower frequency. Arguing that also scattered instances of high radon, which are too scarce to justify declaring an area radon priority, deserve mitigation attention, a particular label might be given to these areas, indicating the presence of extremes within an otherwise non-priority area. First statistical considerations about radon extremes and anomalies are presented in this paper.