The influence of multiplicity distribution (fluctuation of multiplicity in
the event space) on the erraticity behaviour in high energy collisions is i
nvestigated via Monte Carlo simulation and compared with the experimental r
esults from NA27 data. It is shown that, the erraticity phenomenon is insen
sitive to the multiplicity fluctuation. When the average multiplicity is lo
w this phenomenon is dominated by the statistical fluctuations, also in the
case of multiplicities fluctuating from event to event.