Question

Cypress Creek Data set for 1945 to 1984 for maximum annual flow.

Year	Flow (cfs)
1945	9840
1946	5170
1947	235
1948	15600
1949	4740
1950	427
1951	3310
1952	4400
1953	7760
1954	2520
1955	340
1956	5440
1957	3000
1958	3690
1959	10300
1960	6260
1961	1360
1962	1000
1963	2770
1964	1400
1965	3210
1966	1110
1967	5230
1968	4300
1969	2820
1970	1900
1971	3980
1972	6560
1973	4710
1974	3460
1975	3080
1976	2730
1977	3860
1978	4210
1979	3150
1980	5730
1981	3830
1982	5060
1983	4590
1984	1620

1. Using the data, develop a relative frequency histogram and cumulative frequency histogram. Use a class interval of 2000 cfs. (10 points)
2. Using the data, calculate the mean, median, mode, standard deviation, and skew coefficients for the raw data and also the log (base 10) of the data. Compare the differences and similarities of the two sets of calculated values. (10 points)
3. Assuming that the Cypress Creek data for the period 1945 to 1984 are normally distributed, find the following. (25 points)
   1. peak flow for the 100 year flood
   2. peak flow for the 50 year flood
   3. peak flow for the 25 year flood
   4. probability that a flood will be less than or equal to 2000 cfs
   5. return period of the 2000 cfs flood
4. Assuming that the Cypress Creek data for the period 1945 to 1984 are log normally distributed, find the following. (25 points)
   1. peak flow for the 100 year flood
   2. peak flow for the 50 year flood
   3. peak flow for the 25 year flood
   4. probability that a flood will be less than or equal to 2000 cfs
   5. return period of the 2000 cfs flood
5. Compare the values found in problem 5 and 6 and discuss the differences and similarities. (10 points)

Answer 1