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Course Outline:
Presentation of Data: Classification, tabulation, classes, graphical representation, histograms, frequency polygons, frequency curves and their types.Measures of Central Tendency: Means: Arithmetic Mean(A.M), Geometric Mean (G.M) , Harmonic Mean (H.M), and their properties, Weighted mean, median, quartiles, mode and their relations, Merits and demerits of Averages.Measures of Dispersion: Range, moments, skewness, quartile deviation, mean deviation, standard deviation, variance and its coefficients, kurtosis.
Curve Fitting: Goodness of fit, Fitting a straight line, parabola, circle.
Simple Regression: Scatter diagram, linear regression and correlation
Probability: Definitions, sample space, events. Laws of probability, conditional
probability, Dependent and independent events
Random Variable: Introduction, distribution function, discrete random variable and its probability distribution, Continuous random variable and its probability density function, Mathematical expectation of a random variable, Moment generating functions.
Probability Distribution: Binomial, Poisson, uniform, exponential and normal distribution functions and its approximation to Poisson distribution.
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