# 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.

*Content ** *

**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 1 ^{st} 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]**

- 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.
- The following results were obtained

Coefficient of variation = 50%

Karl Pearson’s coefficient of skewness = 0.5

Standard deviation = 2 Find mean and mode.

- In a single throw of two dice, find the probability that sum of two faces is 7 or 11.
- Differentiate between probability and non-probability sampling.
- 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.

- 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

- 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?

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

∑XY = 750 ∑X^{2} = 2085 ∑Y^{2} = 285

∑X = 135 ∑Y = 45 N = 9

- 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.

- The first four moments about mean of a distribution are

µ_{1} = 0 µ_{2} = 16 µ_{3} = – 30 µ_{4} = 40

Test for the normality of the distribution.

**Group ‘B’ **

** ****Descriptive Answer Questions (attempt any five) [5 x 10 = 50] **11. a) Two merchants M_{1} and M_{2} had the following units of three commodities and the prices of these commodities in three different cities of the country.

__Supply Matrix__

Commodities

X Y Z

M_{1} 50 60 90

A =

M_{2} 40 50 70

__Price Matrix__

Commodities

Cities X Y Z

C_{1} 18 20 16

P = C_{2} 16 22 14

C_{3} 20 24 16

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

- 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.

- 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 |

- 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 |

- 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.

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

Test the Skewness of the distribution.

- a) Why is it necessary to analyze time series data? Discuss various components of time series.
- 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 |

** **

- 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 |

- 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] **

- 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 |

- A firm manufacturers two types of electrical items E
_{1}and E_{2}. The profit contribution per unit of E_{1}and E_{2}are Rs. 1600 and Rs. 2400 respectively. Both E_{1}and E_{2}make use of two essential components, a motor and a transformer. Each unit of E_{1}requires 3 motors and 2 transformers and each unit of E_{2}requires 2 motors and 4 transformers. The total supply of components per month is restricted to 210 motors and 300 transformers. E_{2}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.

- 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 |

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**

**TU BBS 1st Year MGT211 Accounting for Financial Analysis & Planning Syllabus and Model Questions**

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