Median in case of group Data, Median in case of an open-ended frequency distribution, Empirical relation between the mean, median and the mode, Quantiles (quartiles, deciles & percentiles), Graphic location of Quantiles.
Concept of dispersion, Absolute and relative measures of dispersion, Range, Coefficient of dispersion,Quartile deviation, Coefficient of quartile deviation.
Bowley’s coefficient of Skewness, The Concept of Kurtosis, Percentile Coefficient of Kurtosis, Moments & Moment Ratios, Sheppard’s Corrections, The Role of Moments in Describing Frequency Distributions.
Bayes’ Theorem, Discrete Random Variable, Discrete Probability Distribution, Graphical Representation of a Discrete Probability Distribution, Mean, Standard Deviation and Coefficient of Variation of a Discrete Probability Distribution, Distribution Function of a Discrete Random Variable.
Graphical Representation of the Distribution Function of a Discrete Random Variable, Mathematical Expectation, Mean, Variance and Moments of a Discrete Probability Distribution, Properties of Expected Values.
Chebychev’s Inequality, Concept of Continuous Probability Distribution, Mathematical Expectation, Variance & Moments of a Continuous Probability Distribution.
Properties of Expected Values in the case of Bivariate Probability Distributions, Covariance & Correlation, Discrete Uniform Distribution, Introduction to the Binomial Distribution.
Hypothesis-Testing regarding Two Population Means in the Case of Paired Observations (t-distribution), The Chi-square Distribution, Hypothesis Testing and Interval Estimation Regarding a Population Variance (based on Chi-square Distribution).
Chi-Square Test of Independence, The Concept of Degrees of Freedom, P-value, Relationship between Confidence Interval and Tests of Hypothesis, Overview of the Science of Statistics in Today’s World (including Latest).