# MGT 202: Business Statistics| TU – BBS First Year |

Full Marks: 100
Pass Marks: 35

Lecture hour: 150

#### Course objective

The basic objective of this course is to acquaint the students with necessary mathematical tools and statistical techniques to be used in business decision making processes.

#### Course Description

This course contains introduction to statistics, classification and presentation of data, measures of central tendency, measures of dispersion , Skewness, kurtosis and moments , simple  correlation  and  regression  analysis, analysis of time series, index numbers , probability, sampling and estimation, quantitative analysis, determinant and matrix .

#### Course Details

Unit 1: Introduction to Statistics

Meaning, scope and limitation of statistics, Importance of statistics in Business and Management, Types and sources of data, Methods of collection of primary and secondary data, Precautions in using; secondary data, Problems of data collection.

#### Unit 2: Classification and Presentation of Data

Data classification (need, meaning, objectives and types of classification); Construction of frequency distribution and its principles; Presentation of data: Tabular presentation; Diagrammatic presentation: Bar diagram, Pie diagram; Graphic presentation: Histogram, frequency polygon, Frequency Curve and Ogive (Illustrations related to Business and Management).

#### Unit 3: Measures of Central Tendency

Mean: Simple and Weighted (Arithmetic Mean, Geometric Mean and harmonic Mean), median, partition values, mode, Properties of averages, choice and general limitation of an average.

#### Unit 4: Measures of Dispersion

Absolute and relative measures, Range, Quartile deviation, mean deviation, standard deviation, coefficient of variation, Lorenz curve.

#### Unit 5: Skewness, Kurtosis and Moments

Meaning, objective and measurement of Skewness, Karl Pearson’s and Bowley’s Method; Five Number Summary, Box-Whisker Plot; Kurtosis and its measurement by Percentile method; Meaning of moments, Central and Raw moments and their relationship; Measurement of Skewness and Kurtosis by moment method.

#### Unit 6: Simple Correlation and Regression Analysis

Karl Pearson’s correlation coefficient including bi-variate frequency distribution, coefficient of determination, Probable Error, Spearman’s Rank Correlation coefficient; Concept of Linear and Non-linear regression; Simple linear regression equations including bi-variate frequency distribution, Properties of regression coefficients.

#### Unit 7: Analysis of Time Series

Meaning, need and components of time series. Measurement of trend: Semi-average, moving average, method of least squares; Measurement of seasonal variation: Method of simple average and Ratio to moving average

#### Unit 8: Index Numbers

Meaning and types of Index Number; General rule and problems in construction of Index Number Methods of constructing index numbers: Simple and weighted (Aggregative and Price Relative Method) Laspeyre’s and Paasche’s Index Number, Fisher’s Ideal Index Number; Time and Factor Reversal Tests

Cost of living index number (Consumer’s price index number): Aggregative Expenditure Method and Family Budget Method, Base shifting and Deflating

#### Unit 9: Probability

Definition of probability, Addition and Multiplication theorem, Application of Combination in Probability,

Conditional probability and Baye’s Theorem.

#### Unit 10: Sampling and Estimation

Meaning of sample and population, census versus sampling, Sampling Techniques, Concept of Sampling distribution, standard error, Estimation, estimator; Concept of types of estimates: Point and Interval

#### Unit 11: Quantitative Analysis

Introduction to quantitative analysis; Application of management science: Scientific approach to decision making, Decision making under the condition of uncertainty and risk, Expected Profit, Expected Profit with perfect information and Expected value of perfect information, Linear Programming Problem: Problem formulation with two decision variables, Graphical solution of Maximization and Minimization problems.

#### Unit 12: Determinant

Definition of determinant, Methods of finding the numerical values of determinant upto three order, Properties of determinant and its use to find the numerical values of determinants, Cramer’s Rule to solve simultaneous equations up to three variables.

#### Unit 13: Matrix

Definition and types of matrix, Addition, subtraction and multiplication of matrices, Cofactors, Transpose, Adjoint and Inverse of a matrix, Inverse and Row Operations method to solve simultaneous equations upto three unknowns. (Illustrations and applications in all chapters should be based on Business and Management situation as far as possible.)

#### Basic Books

Gupta, S.C., Fundamentals of Statistics for Management, Himalayan Publishing House, Bombay.

Tulsian, P.C. & Pandey, Vishal, Quantitative Techniques: Theory and Problems, Pearson Education, India.

#### Reference Books

Shrestha, S. & Amatya, S., Business Statistics, Kathmandu : Buddha Academic Enterprises Pvt. Ltd. Sharma, P. K. & Silwal, D. P., Business Statistics, Kathmandu : Taleju Prakashan.