Question

The population 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? Choose the correct answer below.
A. There must be an even number of data values in the data set to create a histogram.
B. This data set would yield a histogram that is not​ bell-shaped.
C. Adequate class boundaries for a histogram cannot be found with this data set.
D. With a data set that is so​ small, the true nature of the distribution cannot be seen with a histogram.

Answer 1

Answer:

The correct option is D.

Step-by-step explanation:

A histogram is a bar chart wherein the horizontal scale signifies class interval (or classes of data values) and the vertical scale signifies frequencies or percentages. The altitudes of the columns relate to the frequency values, and the columns are drawn together without breaks.

The histogram has the following properties:

• Shows the shape of distribution

• Shows the location of center

• Shows the spread of data

• Helps in identifying outliers

Since the sample collected is so small, the true nature of the distribution cannot be seen with a histogram.

Thus, the correct option is D.