Answered: The annual average streamflow (in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The annual average streamflow (in cumec) of a river for 30 years is given in Table 1. Check whether data
follows normal distribution using Chi-square goodness of fit test at 5 and 10% significance level. Discuss the
findings of the results. Take class interval as 100.
Table 1. Annual average discharge (cumec) of a river
Year Flow Year Flow Year Flow
1971 590 1981 501 1991 863
1972 618 1982 360 1992 672
1973 739 1983 535 1993 1054
1974 763 1984 644 1994 858
1975 733 1985 700 1995 285
1976 318 1986 607 1996 643
1977 791 1987 686 1997 479
1978 582 1988 411 1998 613
1979 529 1989 556 1999 584
1980 895 1990 512 2000 90

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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