Adapted from the link that I mentioned in my comments to the question (ie click HERE), here is a solution which produces the following:

A subtle difference between this solution, and the base code taken from the above link, is that this solution introduces max, min and MIDPOINT values, so that one gradient is achieved for the lower half (yellow -> red), and another for the upper half (yellow -> green) of the numbers.
I have also added a max / min limit to the calculated values, so that they are in the range 0 to 100, if they are outside this value, errors are thrown.
Here is the code to do it:
\documentclass[12pt]{article}
\usepackage{tikz}
\usepackage{collcell}
%The min, mid and max values
\newcommand*{\MinNumber}{0.0}%
\newcommand*{\MidNumber}{0.5} %
\newcommand*{\MaxNumber}{1.0}%
%Apply the gradient macro
\newcommand{\ApplyGradient}[1]{%
\ifdim #1 pt > \MidNumber pt
\pgfmathsetmacro{\PercentColor}{max(min(100.0*(#1 - \MidNumber)/(\MaxNumber-\MidNumber),100.0),0.00)} %
\hspace{-0.33em}\colorbox{green!\PercentColor!yellow}{#1}
\else
\pgfmathsetmacro{\PercentColor}{max(min(100.0*(\MidNumber - #1)/(\MidNumber-\MinNumber),100.0),0.00)} %
\hspace{-0.33em}\colorbox{red!\PercentColor!yellow}{#1}
\fi
}
\newcolumntype{R}{>{\collectcell\ApplyGradient}c<{\endcollectcell}}
\renewcommand{\arraystretch}{0}
\setlength{\fboxsep}{3mm} % box size
\setlength{\tabcolsep}{0pt}
\begin{document}
\begin{table}[ht]
\begin{center}
\begin{tabular}{*{10}{R}}
1.00 & 1.00 & 1.00 & 1.00 & 0.99 & 0.98 & 0.96 & 0.90 & 0.82 & 0.37 \\
1.00 & 1.00 & 0.99 & 0.98 & 0.95 & 0.90 & 0.82 & 0.61 & 0.37 & 0.01 \\
1.00 & 0.99 & 0.98 & 0.96 & 0.90 & 0.82 & 0.67 & 0.37 & 0.14 & 0.00 \\
1.00 & 0.98 & 0.95 & 0.90 & 0.78 & 0.61 & 0.37 & 0.08 & 0.01 & 0.00 \\
0.99 & 0.95 & 0.90 & 0.82 & 0.61 & 0.37 & 0.14 & 0.01 & 0.00 & 0.00 \\
0.98 & 0.90 & 0.82 & 0.67 & 0.37 & 0.14 & 0.02 & 0.00 & 0.00 & 0.00 \\
0.95 & 0.78 & 0.61 & 0.37 & 0.08 & 0.01 & 0.00 & 0.00 & 0.00 & 0.00 \\
0.90 & 0.61 & 0.37 & 0.14 & 0.01 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 \\
0.82 & 0.37 & 0.14 & 0.02 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 \\
0.37 & 0.01 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 \\
\end{tabular}
\end{center}
\end{table}
\end{document}
For the record, I find it totally frustrating producing things like the following, where NOT ALL of the cells are subject to the shading, and, there are header rows etc. I am sure there is a more glamorous way to do this, and I am interested in finding out how...
