Math Problem Statement

The data in the accompanying table represent a variety of variables measured on a random sample of 100 100 tornadoes that occurred between 1950 and 2020. Complete parts​ (a) through​ (c). LOADING... Click the icon to view the tornado data. State F Scale PropLoss Length SD 1 3 0.1 IN 1 1 17.5 KY 1 20000 0.79 NE 1 5 0.8 PA 0 6 5.6 TX 2 2 0.2 MI 1 0.003 0.09 WI 1 0 0.1 OK 0 0 2 CO 1 0 0.1 MN 2 0.002 2.5 OK 2 5 9.9 AR 0 5 5.7 LA 1 500000 3.93 OK 0 5 20 WI 1 6 5 FL 0 5 0.3 MN 0 4 8.4 IA 0 5 0.1 SD 0 0 3.25 FL 0 0 0.1 NC 2 0 0.12 AR 0 0.025 1 IN 0 0 8.5 MO 0 0 1 TX 2 0 0.2 CO 2 0 0.11 GA 0 250000 3.68 TX 0 4 2 TX 1 3 12.1 OH 2 0.016 0.97 NE 0 0 0.1 IA 0 6 4.3 IA 0 3 0.2 OK 0 0 1.4 TX -9 0 0.1 TX 0 2 1.5 KS 1 0 2 OK 0 3 0.5 TX 1 0 0.1 OK 1 4 1 WI 2 0 5.33 NJ 0 0.025 0.16 TX 1 0 0.1 TX 0 4 4.9 MO -9 5 2 AL 1 4 6.8 IL 1 0 0.1 CO 0 2 1 AR 1 0 4 KS -9 0 0.62 MN 0 2 1.5 OK 0 0 0.1 OK 1 0 22.2 TX 1 0 2 MO 0 5 5 OK 1 5 10 MI 2 6 19 MT 1 0 0.1 AR 0 0 3 OH -9 0 0.1 SC 1 0 6.01 MO 1 2 0.3 MI 2 0 2.5 CO 2 0 1 TX 1 4 0.1 NC 2 0.2 0.2 KY 0 0 0.28 IA 0 4 0.1 TX 1 0 0.58 SC 0 0 0.5 MI 0 1 0.2 IL 1 0 0.1 NY 0 4 17 WI 1 75000 3.51 KS 0 0.05 3.3 WI 0 0 0.1 GA 1 5 1.5 OK 0 0 0.1 OH 0 5 2 MO 0 750000 0.95 KS 0 0 0.1 AR 1 0.025 3.13 TX 0 4 0.2 KS 0 0 0.2 AR 1 4 14.9 MO 0 0.13 3.9 KS 0 0 0.3 KY 1 0.25 8.4 AL 1 0.3 8.2 LA 1 0.03 1 SD 1 0.5 0.6 TN -9 4 21 TX 1 0 0.02 KS 1 0.025 2.07 WI 1 4 0.1 MS 2 3 2 VA 1 5 0.2 IN 2 0 1.25 TX 2 0 0.1 ​(a) Determine the mean and median length of the tornadoes. The mean length is x overbar x equals

3.23 3.23 ​mile(s). ​(Round to two decimal places as​ needed.) Part 2 The median length is M equals

1 1 ​mile(s). ​(Type an integer or a decimal. Do not​ round.) Part 3 Based on the values of the mean and​ median, what shape would one expect a histogram of tornado length to​ have? (Consider the mean and median to be meaningfully different if they are more than 0.05​ apart.) One would expect the histogram to be skewed right. Part 4 ​(b) Determine the mean and median property loss for all tornadoes. The mean property loss is x overbar x equals =​$ 15,951.61 15,951.61. ​(Round to two decimal places as​ needed.) Part 5 The median property loss is M equals =​………….. $ enter your response here . ​(Type an integer or a decimal. Do not​ round.)

Solution

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Math Problem Analysis

Mathematical Concepts

Descriptive Statistics
Mean
Median
Distribution Shape
Skewness

Formulas

Mean formula: Mean = Σx / n
Median calculation: Middle value of an ordered dataset
Right-skewed distribution: Mean > Median

Theorems

Skewness in Distributions

Suitable Grade Level

Grades 10-12