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

 

• Descriptive Statistics– Measures of Dispersion
  • Descriptive Statistics
    • Measures of Dispersion
    • Range
    • Quartile Deviation
    • Mean Deviation
    • Standard deviation
    • variance

 

• Skewness & Kurtosis

 

• Probability: Random Experiment, Sample Space and Events, Addition and Multiplication theorems
  • Probability
    • Definitions –random experiment, sample space events etc.
    • Statement of Addition theorem and multiplication theorems
    • Problems based on the above theorems
    • Conditional probability

 

• 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

 

• Concepts of Population, Sampling Etc.
  • Survey and sampling
    • Population and universe
    • Sampling
    • Sample
    • Types of Sampling
    • Steps in sampling

 

• Test of Significance
  • 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

 

• Parametric Tests
  • Parametric Test
    • Hypothesis test for the mean
      • Z test
      • t Test
  • ANOVA

   

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

   

• 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
  • 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