The direction in which the trend analysis points.
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the mean is important in statistics because you will find out your average and can compare that mean to other things..
In statistics, point estimation is the process of providing a number or vector (which could be an infinite dimensional vector such as a function) that is stochastically 'close' in some sense to the actual value of that number or vector. For example, suppose that a population of people has a known mean height of 180 cm and an unknown standard deviation. Point estimation could be applied to a sample from this population to obtain an estimate of the standard deviation of its heights.
Translating a vector is sliding it parallel to the axes - without changing its magnitude or direction.
the mean is affected by outliers
A vector already points, without needing an extra. I wonder if you mean "Poynting Vector" which shows the direction and magnitude of power flow in radiation.