Statistics, Branches of Statistics, Importance of statistics, population, sample, observation, variables, measurement of variable, Data, primary data,secondary data

Frequency distribution (grouped, ungrouped), stem and leaf display,histogram, frequency polygon, cumulative frequency polygon, Simple & Multiple Bar diagrams

Arithmetic Mean (A.M), Geometric Mean (G.M), Harmonic Mean (H.M), Quantiles (Median, Quartiles, Deciles, Percentiles), Mode, Applications of Averages

Background, Range, Quartile deviation, Mean deviation, Variance, Standard deviation, Coefficient of variation, Moments, Moments ratios, Skewness, Kurtosis

Applications in different Engineering Disciplines

Introduction to regression theory, Simple linear regression line, Line fitting by least square methods, Coefficient of determination,

 Simple correlation, coefficient of correlation, fitting of a first and second degree curve, fitting of exponential and logarithmic Curves, related problems.

Principle of least squares.

Probability review, Laws of probability, Conditional probability, Bayesian theorem, independent, dependent events.

Random variables, Discrete and Continuous random variables, Probability mass and density functions, Distribution functions, Mathematical expectation,

Variance of random variable, Bivariate distribution, Joint probability distribution, Moment generating function

Discrete distributions:

Bernoulli distribution, Binomial, Geometric, Negative binomial, Hypergeometric, Poisson distribution, Properties and application of these distributions.

Continuous Distributions: Uniform Distribution, Exponential distribution, Normal distribution, Applications

Introduction, Population, Parameter & Statistic, Objects of sampling, Sampling distribution of Mean, Standard errors, Sampling & Non-Sampling Errors

Random Sampling, Sampling with & without replacement, Sequential Sampling, Central limit theorem.

Applications in relevant engineering discipline

Introduction to inferential statistics, Estimation, hypothesis testing of population mean, proportion,

Variance, Applications in Engineering