the given data represents a frequency distribution of the f - scale intensities of recent tornadoes. use the…
the given data represents a frequency distribution of the f - scale intensities of recent tornadoes. use the frequency distribution to construct a frequency polygon. does the graph suggest that the distribution is skewed? if so, how?\nconstruct a frequency polygon using the data. choose the correct graph below\ntornado f - scale frequency\n0 26\n1 19\n2 1\n3 2\n4 1
Answer
Explanation:
Step1: Identify mid - points
For F - scale 0, mid - point is 0; for 1, mid - point is 1; for 2, mid - point is 2; for 3, mid - point is 3; for 4, mid - point is 4.
Step2: Plot points
Plot the points (0,26), (1,19), (2,1), (3,2), (4,1) on the graph.
Step3: Connect points
Connect the points with straight - line segments to form the frequency polygon.
Step4: Analyze skewness
The majority of the data is on the left side (F - scale 0 and 1 have high frequencies), so the distribution is right - skewed.
The correct frequency polygon is the one that has points plotted at the above - mentioned coordinates and connected correctly. Looking at the options, we can identify the correct one. Since the data has a high frequency for lower F - scale values (0 and 1) and low frequencies for higher F - scale values (2, 3, 4), the graph will start high on the left and go down on the right.
Answer:
The correct graph is the one that has points (0,26), (1,19), (2,1), (3,2), (4,1) connected in order. The distribution is right - skewed.