Question

How might it benefit an organism to have the nucleus near the centre of its cells?

Answer 1

Truly, it benefits since it makes it simpler for the waves to control everything in the cell and for the cell to work all the more appropriate and snappier. 
Just the cells of cutting edge organisms, known as eukaryotes, have a core. For the most part, there is just a single core for every cell, except there are special cases, for example, the cells of ooze molds and the Siphonales gathering of green growth. More straightforward one-celled organisms, similar to the microbes and cyanobacteria, don't have a core.

Answer 2

Answer:

For protection and better control.

Explanation:

First of all, if the nucleus was located in the periphery it would be easier for physical damage to reach it, but also for viruses or so, even with the use of vectors. Then, being in the center makes it equally easier to send signals, orders or RNA to each part of the cell.