No matter how many times I read the description of 

Hand vs Range graphing compared to Hand vs Hand description I never understand the difference. If somebody understands this please explain to me.

Here is the material they provide for description

Graph ButtonsHvR (Hand vs. Range) Graphs

The hand vs. range graph button allows you to view a graphical representation of the possibile equities of a hand on the next round of betting when the other hands are unknown (that is, the other hands are still ranges). For instance, here is the graph of a pair of sixes vs. a hand in the top 15%:

The HvR graph shows as that the sixes have very high minimum equity on about 12% of flops - this is when the sixes flop a set. Moving over, we see they have at least 50% equity about 30% of the time.

The hand vs hand graph button allows you to view a graphical representation of the possible equities of a hand on the next round of betting when all hands are turned face up. Let's take a look at the same example we used for HvR - a pair of sixes vs. a hand in the top 15%:

The HvH graph shows us that the sixes have over 75% equity on about 20% of flops hand vs. hand. These represent the times that they flop a set or a monster draw. Moving a little further to the right on the graph, we see that the sixes have more than 50% equity on about half of all flops. Finally, looking at the far right hand of the graph, we can see the sixes can't do better than about 15% equity on about 40% of flops. This reflects those times that the sixes are beaten by a bigger set or pair.