It is given that John wants to find the center of a wall so he can hang a picture. So, John measures the wall and determines it is 65.25 inches wide. Since John has determined that the wall measures a particular amount that means that John has quantified the width of the wall, which in this case comes out to be 65.25 inches.
Again, this is a single number. This means that the width of the wall is a discrete quantity.
Thus, 65.25 inches or 65.25" is a Quantitative and Discrete type of data. Thus, out of the given options, the first option is the correct one.