TU BBS 1st Year MGT202 Business Statistics Syllabus and Model Questions

TU Bachelors of Business Study (BBS) 1st Year MGT202 Business Statistics Syllabus, Course of Study and Model Questions

Course No: MGT 202
Nature of the Course: Compulsory
Full Marks: 100
Pass Marks: 35
Lecture hour: 150 hrs.

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.



Unit 1: Introduction to Statistics                             LH 5

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                     LH 5

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                        LH 15

Mean: Simple and Weighted (Arithmatic 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                             LH 15

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

Unit 5: Skewness, Kurtosis and Moments                         LH 15

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                 LH 15

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                             LH 15

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                                           LH 15

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                                     LH 10

Definition of probability, Addition and Multiplication theorem, Application of Combination in Probability, Conditional probability and Baye’s Theorem

Unit 10: Sampling and Estimation             LH 5 

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                             LH 15

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                                     LH 10

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                                            LH 10

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, Sunity and Amatya, Sunil, Business Statistics, Buddha Academic Enterprises Pvt. Ltd., Kathmandu

Sharma, Pushkar Kumar and Silwal, Dhruba Prasad, Business Statistics, Taleju Prakashan, Kathmandu

Model Question of BBS First Year- MGT202 Compulsory Business Statistics

MGT 202: Business Statistics

BBS 1st Year

Model Question

Full Marks: 100

Pass Marks: 35

Time: 3 hours

Candidates are required to give their answer in their own words as far as practicable. The figures in the margin indicate full marks.

 Attempt All Questions

Group ‘A’

Brief Questions Answer           [10 x 2 = 20]

  1. The mean of 200 items was found to be 80, later it was found that 61 and 45 were misread as 16 and 15. Find correct mean.
  2. The following results were obtained

Coefficient of variation = 50%

Karl Pearson’s coefficient of skewness = 0.5

Standard deviation = 2 Find mean and mode.

  1. In a single throw of two dice, find the probability that sum of two faces is 7 or 11.
  2. Differentiate between probability and non-probability sampling.
  3. The year of origin of the following straight line trend equation of profits in lakhs of rupees is 2008. y=35+2x

Estimate profit for the year 2015.

  1. Prepare regret table from the given conditional profit table. Demanded Units Decision Alternatives

                15           16           17           18

  • 150 120         90           90
  • 150 160         130         100
  • 150 160         170         140
  • 150 160         170         180


  1. The following calculations were based on the life of refrigerators of two companies.

  Company A         Company B Average life       8 years 6 years

Standard deviation          12 years               8 years

Which company’s refrigerator shows greater consistency in terms of life?

  1. On the basis of the given information find the regression coefficient of X on Y.

∑XY = 750       ∑X2 = 2085           ∑Y2 = 285

∑X = 135         ∑Y = 45 N = 9

  1. The coefficient of correlation between 10 pairs of values of demand and supply was found to be

0.8. Test the significance of the result.

  1. The first four moments about mean of a distribution are

µ1 = 0                 µ2 = 16 µ3 = – 30                µ4 = 40

Test for the normality of the distribution.

Group ‘B’

 Descriptive Answer Questions (attempt any five) [5 x 10 = 50] 11. a) Two merchants M1 and M2 had the following units of three commodities and the prices of these commodities in three different cities of the country.

Supply Matrix


X             Y              Z

M1 50         60           90

A =

M2 40    50           70


Price Matrix


Cities              X             Y              Z

C1                18           20           16

P =             C2            16           22           14

C3            20           24           16

To which city each merchant should supply the commodities in order to get the maximum receipt?

  1. b) An aeroplane has 40 seats for passengers. Passengers travelling in economy class can take 20 Kgs of baggage each and business class can take 60 Kgs of baggage each. The aircraft can carry only 1200 Kgs of baggage. Find the number of passengers of each kind by using

Cramer’s rule.

  1. The following distribution represents yearly income of 2500 employees of an industrial concern in thousand of rupees. Employees earning 2 lakhs or more have to pay 15% tax to the government. Find the average income of the employees and the amount of tax to be paid to the government.
Income (In ‘000’ Rs.) 70-100 100-130 130-160 160-190 190-220 220-250 250-280
No. of Employees 50 150 200 400 900 500 300


  1. The following is the net profits of two companies in millions of rupees, which companys shows greater consistency in net profit. Justify.
Year 2006 2007 2008 2009 2010 2011 2012
Company A 15 16 20 16 22 20 24
Company B 14 15 19 20 21 22 22
  1. a) A company has two plants to manufacture scooters. Plant I manufactures 80% of scooters and plant II manufactures 20%. At plant I, 85 out of 100 scooters are rated Standard Quality. At plant II, only 65 out of 100 scooters are rated Standard Quality. What is the probability that scooter came from plant-II if it is known that the scooter is of Standard Quality.


  1. In a certain distribution, the first four moments about an arbitrary point were 1,3,7 and 21.

Test the Skewness of the distribution.


  1. a) Why is it necessary to analyze time series data? Discuss various components of time series.
    1. Calculate moving averages for the following data, assuming the length of business cycle as 3 years.
Year 2004 2005 2006 2007 2008 2009 2010 2011 2012 
Sales In ‘000’ 35 50 60 65 70 80 90 92 95


  1. a) What do you understand by classification of data? What are its objectives? Classify the given data using Sturge’s rule.
110 175 161 157 155 108 164 128 114 178 165 133 195 151 71 94 97
42 30 62 138 156 167 124 164 146 116 149 104 141 103 150 162 149
79 113 69 121 93 143 140 144 187 184 197 87 40 122 203 148


  1. What do you understand by sampling distribution? Differentiate between point and interval estimate.

Group ‘C’

Analytical Answer Questions (attempt any two)           [2 x 15 = 30]

  1. From the following bi-variate table find out whether there exists any relationship between security prices and dividends and test the significance of the result. Also estimate the amount of dividend when price of security is Rs. 150.
Security Prices (in Rs.) Annual Dividends (in Rs.)
6-8 8-10 10-12 12-14 14-16 16-18
70-80 2 1
80-90 3 1 1
90-100 2 2 1 1
100-110 2 2 3
110-120 1 3 2 2
120-130 1 3 3 3 2
130-140 3 1 4 1
  1. A firm manufacturers two types of electrical items E1 and E2. The profit contribution per unit of E1 and E2 are Rs. 1600 and Rs. 2400 respectively. Both E1 and E2 make use of two essential components, a motor and a transformer. Each unit of E1 requires 3 motors and 2 transformers and each unit of E2 requires 2 motors and 4 transformers. The total supply of components per month is restricted to 210 motors and 300 transformers. E2 is an export model requiring a voltage stabilizer, which has supply restriction to 65 units.

Formulate the above problem in a mathematical form describing the objective and limitations of the problem. Solve the formulated problem by graphic method with an objective of maximization of profit.


  1. What are Index numbers? Why are they called economic barometers? You are required to prove from the following data that Fisher index number is an ideal index number.
Commodities 2010 Price / units Expenditure 2011 Price / units Expenditure
A 50 600 60 840
B 40 840 80 2400
C 30 900 30 1500
D 20 600 20 1000
E 60 360 70 2100
F 80 640 80 2400

Click Here: To download and read full syllabus and course of study of Tribhuvan University- TU Bachelors of Business Studies- BBS Program

See Also:

TU BBS 1st Year MGT213 Principles of Management Syllabus and Model Questions

TU BBS 1st Year MGT201 Business English Syllabus and Model Questions

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