Indexing in DFT (from an old paper)
The figures are correct. You can see that there are samples at indices $0,1,\ldots,N-1$. There are no samples shown at index $N$, neither in the time domain nor in the frequency domain. The value $N$ is only shown on the abscissa because in the frequency domain it corresponds to the sampling frequency, and in the time domain it corresponds to the end of the continuous-time signal represented by $N$ samples (if we assume that each sample represents a portion of length $\Delta T$).
For a very detailed discussion on the definition of the actual duration of a discrete-time sequence have a look at the answers to this question.