Some characteristics positive
One limitation of statistical infrequency is that infrequent characteristics can be positive as well as negative. For every person with an IQ below 70 there is another with an IQ above 130. Yet we would not think of someone as abnormal for having a high IQ. Similarly, we would not think of someone with a very low depression score on the BDI as abnormal. These examples show that being unusual or at one end of a psychological spectrum does not necessarily make someone abnormal.
This means that, although statistical infrequency can form part of assessment and diagnostic procedures, it is never sufficient as the sole basis for defining abnormality.