\begin{table}%t3
%\centering
\par
\caption{\label{tab:fit}Best-fit values of the slope of the surface brightness 
profile in the radial range $[0.2 \times R_{200}, R_{\rm S2N}]$ and 
$[0.4 \times R_{200}, R_{\rm S2N}]$. 
The best-fit results of the first derivative of $S_{\rm b}(r)$
over the entire radial range are indicated as 
${\rm d} \ln (S_{\rm b}) / {\rm d} \ln (r/R_{200}) = s_0 +s_1 \ln (r/R_{200})$
and shown in Fig.~\ref{fig:s2n}. 
The predicted slopes from the best-fit results at $0.4, 0.7$, and 
$1 \times R_{200}$ are quoted.
In the last two columns, we present the expected surface brightness 
in the $0.5$--$2$~keV band and the fraction $fc_{200}$ of the clusters counts with 
respect to the total count rate measured in the $0.5$--$5$~keV at $R_{200}$.}
\begin{tabular}{lcc ccc  ccc }
\hline\hline  
Cluster &  \multicolumn{2}{c}{Slope} &   $(s_0, s_1)$ & $0.4 R_{200}$ & $0.7 R_{200}$ & $R_{200}$ & $S_{\rm b} (R_{200})$ & $fc_{200}$  \\ 
   & $0.2 R_{200} - R_{\rm S2N}$ & $0.4 R_{200} - R_{\rm S2N}$ & & &  &  &$10^{-12}$ erg/s/cm$^2$/deg$^2$ \\  
\hline 
MS0015.9+1609 & $-3.30\pm0.28$ & $-3.89\pm0.96$ &   $(-4.41, -1.33)$ & $-3.19$ & $-3.93$ & $-4.41$ & $(1.7,1.7)$ & $0.051$ \\
MACSJ2228.5+2036 &  $-2.74\pm0.29$ & $-4.26\pm1.23$ &   $(-4.92, -1.75)$ & $-3.32$ & $-4.30$ & $-4.92$ & $(2.6,2.7)$ & $0.057$ \\
MACS0744.9+3927 &  $-2.73\pm0.31$ & $-3.23\pm0.89$ &   $(-3.73, -0.88)$ & $-2.92$ & $-3.41$ & $-3.73$ & $(2.6,2.7)$ & $0.074$ \\
MACSJ0417.5-1154 &  $-3.38\pm0.42$ & $-4.53\pm1.27$ &   $(-5.60, -2.02)$ & $-3.75$ & $-4.88$ & $-5.60$ & $(1.6,1.6)$ & $0.034$ \\
RXJ1701.3+6414 & $-2.39\pm0.27$ & $-2.59\pm1.17$ &   $(-4.24, -1.60)$ & $-2.78$ & $-3.67$ & $-4.24$ & $(2.4,2.6)$ & $0.051$ \\
MACSJ1720.2+3536  & $-3.19\pm0.36$ & $-2.40\pm1.32$   & $(-3.57, -0.77)$ & $-2.87$ & $-3.30$ & $-3.57$ & $(2.5,2.6)$ & $0.059$ \\
RXJ1416.4+4446 &  $-2.74\pm0.37$ & $-3.63\pm1.72$ &   $(-3.75, -0.94)$ & $-2.89$ & $-3.41$ & $-3.75$ & $(1.8,1.9)$ & $0.042$ \\
MACSJ2129.4-0741  & $-2.68\pm0.33$ & $-4.16\pm1.74$ &   $(-3.92, -1.13)$ & $-2.88$ & $-3.51$ & $-3.92$ & $(2.4,2.5)$ & $0.060$ \\
MACSJ1621.3+3810 &   $-2.64\pm0.37$ & $-3.53\pm1.76$   & $(-2.99, -0.45)$ & $-2.58$ & $-2.83$ & $-2.99$ & $(3.0,3.2)$ & $0.087$ \\
MS0451.6-0305 &  $-3.94\pm0.45$ & $-4.77\pm2.04$ &   $(-5.85, -1.91)$ & $-4.11$ & $-5.17$ & $-5.85$ & $(0.3,0.3)$ & $0.006$ \\
MACSJ1206.2-0847  & $-3.24\pm0.37$ & $-3.67\pm1.64$   & $(-4.43, -1.16)$ & $-3.37$ & $-4.02$ & $-4.43$ & $(1.4,1.5)$ & $0.032$ \\
 %& & & &\\ 
 mean & $-2.91$ & $-3.59$ &   $(-4.31,-1.27)$ & $-3.15$ & $-3.86$ & $-4.31$ & $(2.0,2.1)$ & $0.050$ \\
 $\sigma$ &  $0.46$ & $0.75$   & $(0.87,0.50)$ & $0.46$ & $0.70$ & $0.87$ & $(0.8,0.8)$ & $0.022$ \\
\hline
\end{tabular} 
\end{table}