Apparatus, and an associated method, for estimating a bit error rate of data communicated to a receiving station of a digital communications system, such as a GSM/EDGE cellular communication system. Soft decision values, indicative of confidence levels that decided values have been correctly decided are compared with threshold values by a comparator. A count is accumulated by a counter to whose counted value is representative of decided data values having associated therewith low levels of confidence that the decided values are correct. The count value is used in the formulation of the BER estimation.