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We use Random Matrix Theory (RMT) to describe the eigenvalue spacing ofMeghalaya's historical monthly average temperature ($T_{avg}$) in grids. Forthat, the Nearest Neighbor Spacings ($S_i$) of the eigenvalues of thecorrelation matrices were found out for 1428 consecutive eigenvalue pairdifferences. It is found that the distribution of $S_i$ follows Brodydistribution at a correlation value of $\beta=0.045$. This value of$\beta(0.045)$ indicates weak repulsion among the eigenvalues as it is closerto Poisson fluctuations, meaning there is a weak correlation among the grids.

Eigen Value Statistics of Long-Term Monthly Average Temperature of Meghalaya, India