  In this work we perform an observational data analysis on the $f(R,T)$
gravity with the aim of constraining the parameter space of the model. Five
different models are considered and the 30 point $z-H(z)$ cosmic chronometer
data is used in our analysis. The $\chi^2$ statistic is formulated as a
difference between the theoretical and the observed values of $H(z)$ for
different values of redshift $z$. Efforts have been made to minimize the
statistic in order to get the best fit values for the free parameters models.
We have also used some standard distance measurement parameters like BAO and
CMB peaks along with the data for achieving better constraints on the parameter
space. We have used the publicly available \textit{CosmoMC} code for obtaining
the bounds for the free parameters of the models in different confidence
intervals like $68\%$, $95\%$, $99\%$. 1D distributions and 2D joint confidence
contours for various confidence levels mentioned above are generated for the
free parameters using the \textit{CosmoMC} code. Finally our models have been
compared with the standard $\Lambda CDM$ model by some statistical techniques
using the observational data and the support for the models from the data is
probed.
