Correlation is measured by the correlation co-efficient. A positive correlation coefficient indicates that both values move in same direction, while a negative indicates it moves in opposite direction.
The maximum absolute value of correlation is 1. A value closer to 1 indicates strong correlation while value closer to 0 shows weak. +1 shows that the value move in perfect tangent, while -1 shows that the values move in exactly the opposite direction by equal amounts.
Correlation is the key to effective diversification. It is better to have a good set of 10-20 companies at max in your portfolio. It is important to not only diversify in stocks, but also in asset classes.