A 22-year annual maximum flow data for a river is given below. Assuming the data fits to normal distribution, determine the following: YearFlow (cfs)YearFlow (cfs)1971421019823860197220101983315019735010198440501974429019853260197537201986723019762920198751701977250019882550197821101989522019793110199036501980242019913590198142801992650 a) The frequency curves for Normal, Log-Normal, Gumbel, and Log-Pearson IIIdistributions.b) Calculate the plotting probabilities of the given data points using Weibull formulaand plot the data on the top of the frequency curves. Which distribution best fitsthe data?

Answered: a) The frequency curves for Normal,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Problem 1P

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A 22-year annual maximum flow data for a river is given below. Assuming the data fits to normal distribution, determine the following:

Year
Flow (cfs)
Year
Flow (cfs)
1971
4210
1982
3860
1972
2010
1983
3150
1973
5010
1984
4050
1974
4290
1985
3260
1975
3720
1986
7230
1976
2920
1987
5170
1977
2500
1988
2550
1978
2110
1989
5220
1979
3110
1990
3650
1980
2420
1991
3590
1981
4280
1992
650

a) The frequency curves for Normal, Log-Normal, Gumbel, and Log-Pearson III
distributions.
b) Calculate the plotting probabilities of the given data points using Weibull formula
and plot the data on the top of the frequency curves. Which distribution best fits
the data?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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