The production of ages at inauguration of all U.S. 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?
With a data set that is so small, the true value of the distribution cannot be seen with a histogram.
It does not make sense to construct a histogram for this data set because the ages at inauguration of the U.S. Presidents who had professions in the military are given as individual values, rather than as a range or interval of ages.
In a histogram, the data is divided into several bins or intervals, and the frequency or count of values falling within each interval is depicted by the height or length of the bars. However, since the ages given in the data set are specific ages (e.g., 62, 46, 68), there is no variation or range to create intervals or bins for the histogram.
Instead, if you want to analyze this data, you could use a different type of visualization, such as a bar chart or a line plot, where you can display the individual ages of the Presidents on the x-axis and their corresponding counts or frequencies on the y-axis. This would provide a clearer representation of the data without the need for interval grouping.