**Measures of Central Tendency – Mean, Median, Mode**
**Descriptive statistics**
**Measures of Central Tendency **
**Advantages and disadvantages of– Mean, Median, Mode**

** **
**Skewness & Kurtosis**
- Descriptive statistics
- Skewness & Kurtosis

**Theory of Correlation: Meaning of Correlation, Simple Correlation, Co-efficient, Rank Correlation.**
- Correlation
- Introduction
- Types
- Coefficient of correlation
- Measurement of correlation
- Scatter Diagram
- Karl Pearson’s coefficient of correlation
- Rank correlation
- Coefficient of Variation
- Properties of correlation coefficient

** **
**Regression Analysis**
- Correlation and regression
- Regression –Introduction and definition
- Types of regression
- Line of best fit
- Regression equations
- Properties of regression lines and regression coefficients
- Standard error of estimate
- Simple linear regression
- Problems based on linear regression

** **
**Time Series Analysis**
**Introduction and definitions**
**Various components of time series**
**Determination of trend by**
- Graphical method
- Moving average method
- Least Square method

**Calculation of seasonal indices**
- Simple average method
- Link relative method

** **
**Probability: Random Experiment, Sample Space and Events, Addition and Multiplication theorems**
**Definitions –random experiment, sample space events etc.**
- Statement of Addition theorem and multiplication theorems
- Problems based on the above theorems
- Conditional probability
- Introduction –Hypothesis testing
- Assumptions about parametric and non-parametric tests
- Hypothesis –Null and Alternate Hypothesis
- Hypothesis testing process
- Type 1 and Type 2 Errors
- Level of significance and rejection region

** **
** **
**Bayes Theorems and its Applications**
- Probability
- Inverse Probability
- Bayes theorem and its applications in business

** **
**Random Variable and Probability Distribution: Binomial, Poisson, Normal**
**Random Variable & Probability Distributions**
- Discrete and continuous random variable
- Probability Distributions continuous and discrete
- Binomial distribution
- Poisson distribution
- Normal Distribution
- Uniform Distribution
- Problems based on the above

** **
**Test of Significance**
- Introduction –Hypothesis testing
- Assumptions about parametric and non-parametric tests
- Hypothesis –Null and Alternate Hypothesis
- Hypothesis testing process
- Type 1 and Type 2 Errors
- Level of significance and rejection region

** **
**Non Parametric Tests**
- Mann-Whitney U test
- Kolmogorov-Smirnov Z test
- Chi square test

** **
** **
** **
** **