  The study of higher-order moments of a distribution and its cumulants
constitute a sensitive tool to investigate the correlations between the
particle produced in high energy interactions. In our previous work we have
used the Tsallis $q$ statistics, NBD, Gamma and shifted Gamma distributions to
describe the multiplicity distributions in $\pi ^-$ -nucleus and $p$ -nucleus
fixed target interactions at various energies ranging from P$_{Lab}$ = 27 GeV
to 800 GeV. In the present study we have extended our analysis by calculating
the moments using the Tsallis model at these fixed target experiment data. By
using the Tsallis model we have also calculated the average charged
multiplicity and its dependence on energy. It is found that the average charged
multiplicity and moments predicted by the Tsallis statistics are in much
agreement with the experimental values and indicates the success of the Tsallis
model on data from visual detectors. The study of moments also illustrates that
KNO scaling hypothesis holds good at these energies.
