1. Flood discharges (m³/s) observed in a stream for 30 years are given below arranged in decreasing order. 2130 1950 1950 1620 1420 1230 906 839 827 786 628 816 559 479 471 439 572 563 1200 1180 1120 1040 608 586 577 571 382 379 360 264 a. Plot the histogram and frequency histogram dividing the data into six equal intervals. b. Investigate the effect of the number of class intervals using wider and narrower intervals. c. Plot the cumulative distribution. d. Estimate the parameters for the central value of the flood discharge. e. Estimate the parameters representing the dispersion of the data. f. Compute the skewness coefficient. Can the data be considered to be symmetrical? g. The construction of a hydraulic structure on this stream will be stopped if a flood larger than 950 m³/s occurs. What is the frequency of this event in a year?

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1. Flood discharges (m³/s) observed in a stream for 30 years are given below arranged in
decreasing order.
2130 1950
906
839
572 563
1950 1620 1420 1230
827
816
786
559 479
471
C.
d.
e.
f.
g.
1200 1180 1120 1040
577 571
608
586
628
439 382 379 360 264
a. Plot the histogram and frequency histogram dividing the data into six equal
intervals.
b. Investigate the effect of the number of class intervals using wider and narrower
intervals.
Plot the cumulative distribution.
Estimate the parameters for the central value of the flood discharge.
Estimate the parameters representing the dispersion of the data.
Compute the skewness coefficient. Can the data be considered to be symmetrical?
The construction of a hydraulic structure on this stream will be stopped if a flood
larger than 950 m³/s occurs. What is the frequency of this event in a year?
Transcribed Image Text:1. Flood discharges (m³/s) observed in a stream for 30 years are given below arranged in decreasing order. 2130 1950 906 839 572 563 1950 1620 1420 1230 827 816 786 559 479 471 C. d. e. f. g. 1200 1180 1120 1040 577 571 608 586 628 439 382 379 360 264 a. Plot the histogram and frequency histogram dividing the data into six equal intervals. b. Investigate the effect of the number of class intervals using wider and narrower intervals. Plot the cumulative distribution. Estimate the parameters for the central value of the flood discharge. Estimate the parameters representing the dispersion of the data. Compute the skewness coefficient. Can the data be considered to be symmetrical? The construction of a hydraulic structure on this stream will be stopped if a flood larger than 950 m³/s occurs. What is the frequency of this event in a year?
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