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Unit 301013 Advanced Statistical Hydrology

Tutorial 1 Hydrological data exploration

Question 1. Table 1.1 shows the annual maximum (AM) flow data for Site 201001 Oxley River at

Eungella in the state of NSW, Australia. This data is also available in excel format in your vUWS site.

(i) Calculate minimum, maximum, range, arithmetic mean, geometric mean, median and mode of the

given AM flow series.

(ii) Calculate 25th, 50th, 75th and 90th percentile values of the given AM flow series.

(iii) Calculate standard deviation, skewness and kurtosis of the given AM flow series.

Table 1.1 Annual maximum (AM) flow data at site 201001 Oxley River at Eungella in the state of

NSW, Australia

Question 2. Table 1.1 shows the annual maximum (AM) flow data for Site 201001 Oxley River at

Eungella in the state of NSW, Australia.

(i) Calculate the interquartile range and prepare a frequency histogram of the given AM flow series.

(ii) Prepare a cumulative relative frequency diagram of the given AM flow series.

Question 3. Table 1.1 shows the annual maximum (AM) flow data for Site 201001 Oxley River at

Eungella in the state of NSW, Australia.

(i) Prepare a box plot of the given AM flow series.

Year 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970

Q (m3/s) 429 689 193 133 743 96 1162 510 114 688

Year 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980

Q (m3/s) 289 1048 595 1289 179 714 112 716 278 524

Year 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990

Q (m3/s) 203 324 451 496 203 24 1244 718 1591 637

Year 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000

Q (m3/s) 740 98 51 58 211 718 95 400 277 63

Year 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010

Q (m3/s) 1130 6 75 768 264 155 110 1521 403 544

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(ii) From the box plot, comment on the distribution of the given AM flow series. Which AM flow data

are possible outliers in the AM data series as evident from this box plot?

Question 4. Table 1.1 shows the annual maximum (AM) flow data for Site 201001 Oxley River at

Eungella in the state of NSW, Australia.

(i) Compute the co-efficient of variation (CV) of the given AM flow series.

(ii) Comment on the CV value obtained above in relation to the world standard.

Question 5. Download the following technical paper from google scholar: Haddad, K., Rahman, A.,

Weinmann, P.E., Kuczera, G. and Ball, J.E. (2010). Streamflow data preparation for regional

flood frequency analysis: Lessons from south-east Australia. Australian Journal of Water

Resources, 14, 1, 17-32. Note five points which you think important in utilising recorded

annual maximum flood data in regional flood frequency analysis. This paper is also available

in your vUWS site.

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