Math Problem Statement
The annual precipitation in inches per year during the past 30 years in Tucson, Arizona, is as follows: 11.60, 7.19, 12.69, 11.86, 14.81, 8.07, 11.15, 8.00, 9.55, 11.02, 19.54, 8.63, 12.33, 8.53, 16.55, 19.74, 18.40, 11.37, 10.55, 8.68, 9.62, 6.93, 14.80, 10.64, 14.76, 15.19, 14.56, 9.68, 11.13, and 4.35.
(a) Draw the histogram for the data.
(b) Draw the frequency diagram for the data.
(c) Calculate the mean, variance, standard deviation, coefficient of variation, skewness, and skewness coefficient for the precipitation.
(d) Using the frequency diagram, calculate the probability that the annual precipitation in
Tucson will exceed 12 in./yr using the actual data and using the frequency diagram
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Probability
Data Analysis
Formulas
Mean
Variance
Standard Deviation
Coefficient of Variation
Skewness
Theorems
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Suitable Grade Level
Advanced High School
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