The population of ages at inauguration of all us presidents who had professions in the military is 62,46, 68,64,57. why does it not make sense to construct a histogram for this data set?

Simply because ideally, histogram is used in grouped frequency parameters. Moreover, as little as the given five parameters or data set this will be ineffective and will result to a bar graph only and basically, the suited option is the aforementioned vertical graph to display the numbers. To expound on the definition of histogram it is used when the frequency is grouped. For example the data set of 1-5, 6-10, 11-15 and 16-20 this now can be used and applied to illustrate histogram because of the number and quantity of the given data.

Top right since it passes vertical line test