**The approximate average of the histogram is 404.5 K. From the histogram, the system varied up to 3.5 K above the average to 408. Therefore the closest that the average could be positioned to the maximum temperature limit of 420 K, would be 416.5 K.**

It is important to note that the data which was used to construct the histogram was not infinite. That is to say that there is always a possibility that the system could vary to temperatures greater than 3.5 K above the average.

If the maximum temperature limit was a soft constraint then this might be acceptable; however if the maximum temperature limit was a hard constraint, say for instance a safety limit, then it would not be advisable to position the average temperature so near to the limit.