It may just be that you're not placing \displaystyle in the appropriate place. Here are some options, and there are many more, depending on your requirements:

\documentclass{article}
\usepackage{amsmath}% http://ctan.org/pkg/amsmath
\begin{document}
\verb|tabular (default)|:\par
\begin{tabular}{ccl}
Eq1 & $\sum_{i=1}^N |x A_i-x_i^B|$ & $a+b-2c$ \\ \\
Eq2 & $\sqrt{\sum_{i=0}^N(x A_i-x B_i)^2}$ & $\sqrt{a+b-2c}$ \\ \\
Eq3 & $\frac{\sum_{i=0}^N|x A_i-x B_i|}{\sum_{i=0}^N\max(x A_i-x B_i)}$ & $\frac{a+b-2c}{a+b-c}$
\end{tabular}
\bigskip
\verb|tabular (\displaystyle)|:\par
\begin{tabular}{ccl}
Eq1 & $\displaystyle\sum_{i=1}^N |x A_i-x_i^B|$ & $a+b-2c$ \\ \\
Eq2 & $\displaystyle\sqrt{\sum_{i=0}^N(x A_i-x B_i)^2}$ & $\sqrt{a+b-2c}$ \\ \\
Eq3 & $\displaystyle\frac{\displaystyle\sum_{i=0}^N|x A_i-x B_i|}{\displaystyle\sum_{i=0}^N\max(x A_i-x B_i)}$ &
$\displaystyle\frac{a+b-2c}{a+b-c}$
\end{tabular}
\bigskip
\verb|array (amsmath)|:\par
\[\begin{array}{c@{\quad}c@{\qquad}l}
\text{Eq1} & \displaystyle\sum_{i=1}^N |x A_i-x_i^B| & a+b-2c \\ \\
\text{Eq2} & \displaystyle\sqrt{\sum_{i=0}^N(x A_i-x B_i)^2} & \sqrt{a+b-2c} \\ \\
\text{Eq3} & \dfrac{\displaystyle\sum_{i=0}^N|x A_i-x B_i|}{\displaystyle\sum_{i=0}^N\max(x A_i-x B_i)} &
\dfrac{a+b-2c}{a+b-c}
\end{array}\]
\end{document}
Since you are displaying math, it's advisable to use an array environment, or perhaps amsmath's align environments. This would allow you to automatically number the equations.
You can change the spacing between columns using a @{<stuff>} specifier (as I've done in the last example). Vertical spacing is achieved through adding additional empty rows, or increasing \arraystretch. For more on this topic, see Column padding in tables.