Answer to Question #202999 in Statistics and Probability for jakson soliman

Question #202999

Railroad Crossing Accidents The data show the number of railroad crossing accidents for the 50 states of the United States for a specific year. Construct a histogram, frequency polygon, and ogive for the data. Comment on the skewness of the distribution. (The data in this exercise will be used for Exercise 15 in this section.)

Expert's answer

"\\def\\arraystretch{1.5}\n \\begin{array}{c:c}\n Class \\ limits& Frequency \\\\ \\hline\n 1-43 & 24 \\\\\n \\hdashline\n 44-86 & 17 \\\\\n \\hdashline\n87-129 & 3 \\\\\n \\hdashline\n130-172 & 4 \\\\\n \\hdashline\n173-215 & 1 \\\\\n \\hdashline\n216-258 & 0 \\\\\n \\hdashline\n259-301 & 0 \\\\\n \\hdashline\n302-344 & 1 \\\\\n \\hdashline\n\\end{array}"

"\\def\\arraystretch{1.5}\n \\begin{array}{c:c:c:c}\n Class & Class & Midpoint & Relative \\\\ \nlimits & boundaries & & frequency \\\\\n\\hline\n 1-43 & 0.5-43.5 & 22 & 0.48 \\\\\n \\hdashline\n 44-86 & 43.5-86.5 & 65 & 0.34 \\\\\n \\hdashline\n87-129 & 86.5-129.5 & 108 & 0.06 \\\\\n \\hdashline\n130-172 & 129.5-172.5 & 151 & 0.08 \\\\\n \\hdashline\n173-215 & 172.5-215.5 & 194 & 0.02 \\\\\n \\hdashline\n216-258 & 215.5-258.5 & 237 & 0 \\\\\n \\hdashline\n259-301 & 258.5-301.5 & 280 & 0 \\\\\n \\hdashline\n302-344 & 301.5-344.5 & 323 & 0.02 \\\\\n \\hdashline\n\\end{array}"

"\\def\\arraystretch{1.5}\n \\begin{array}{c:c:c}\n & Cumulative & Cumulative \\\\ \n & frequency & relative frequency \\\\\n\\hline\n <0.5 & 0 & 0.00 \\\\\n \\hdashline\n <43.5 & 24 & 0.48 \\\\\n \\hdashline\n<86.5 & 41 & 0.82 \\\\\n \\hdashline\n<129.5 & 44 & 0.88 \\\\\n \\hdashline\n<172.5 & 48 & 0.96 \\\\\n \\hdashline\n<215.5 & 49 & 0.98 \\\\\n \\hdashline\n<258.5 & 49 & 0.98 \\\\\n \\hdashline\n<301.5 & 49 & 0.98 \\\\\n \\hdashline\n<344.5 & 50 & 1.00 \\\\\n \\hdashline\n\\end{array}"

Histogram for number of railroad crossing accidents