the given data represents a frequency - distribution of the f - scale intensities of recent tornadoes. use…

Explanation:

Step1: Identify key - points

To construct a frequency polygon, we first note the mid - points of each class interval (here the F - scale values) and their corresponding frequencies. The F - scale values are 0, 1, 2, 3, 4 and frequencies are 26, 19, 1, 1, 2 respectively.

Step2: Plot points

We plot the points ((0,26)), ((1,19)), ((2,1)), ((3,1)), ((4,2)) on a graph with the F - scale on the x - axis and frequency on the y - axis.

Step3: Connect points

We connect these points with straight - line segments. Also, we extend the polygon to the left and right by half of a class interval (in this case, we can assume an additional point before (x = 0) and after (x = 4) with frequency 0).

Step4: Check for skewness

The distribution is right - skewed if the tail of the graph extends to the right and left - skewed if the tail extends to the left. Looking at the frequencies, the higher frequencies are on the left side (F - scale = 0 and 1) and the lower frequencies are on the right side (F - scale = 2, 3, 4), so the distribution is right - skewed.

Answer:

The correct graph is the one that has points plotted at ((0,26)), ((1,19)), ((2,1)), ((3,1)), ((4,2)) and connected with straight - line segments and is right - skewed. Without seeing the exact details of the graphs A, B, C, D, we can't choose the exact letter, but the graph should have a peak at the lower F - scale values and a tail extending to the higher F - scale values.