Business Maths & Statistics

B.Com 3rd Semester

BUSINESS MATHEMATICS AND STATISTICS

(Important Theory Questions)

Short Answer Type Questions (5 marks):

1) Define Transpose of a matrix. What are its properties?

2) Distinguish between singular and Non singular Matrix

3) Define determinant of a matrix. What are its properties?

4) Explain rank of a matrix with suitable example

5) Define scalar matrix

6) Difference between Matrix and Determinant.

7) Write a note on Trace of a Matrix.

8) Discuss limitations of statistics.

9) Explain the utility of Statistics in business and industry.

10) Discuss functions of statistics.

11) Differentiate between primary data and secondary data.

12) What are essentials of a good questionnaire?

13) What are the precautions to be kept in mind while using the secondary data?

14) Distinguish between classification and tabulation.

15) What are the essentials of a good table?

16) Write short note on Histogram, Ogive, and Pie-Diagram.

17) Explain requisites of good average.

18) Give merits and demerits of arithmetic mean.

19) Define Mean, Median, and Mode.

20) What are the properties of a good measure of dispersion?

21) What are the uses of Lorenz Curve?

22) Distinguish between Mean Deviation and Standard Deviation.

23) What short note on zero skewness, positive skewness, negative skewness.

24) Define Kurtosis.

25) Define Moments.

26) What do you understand by secular trend?

27) Explain importance of Time Series in Government.

Long Answer Type Questions (15 marks):

1) What do you mean by ‘Matrices’? Explain the various types of matrices with suitable examples.

2) Write Short Note: a) Orthogonal matrix and Idempotent Matrix b) Symmetric and Skew-Symmetric Matrix

3) Differentiate between square matrix, diagnol matrix, scalar matrix, identity matrix

4) Inverse of matrix is unique. Give an example to prove it.

5) Explain the concept of “Maxima” and “Minima” giving their managerial applications. Clearly state the conditions of Maxima and Minima.

6) Explain the concept of “Derivatives” giving its managerial applications.

7) Explain the various methods that are used in the collection of primary data pointing out their merits and demerits.

8) Distinguish between primary data and secondary data. Are the data collected for the census in India and published in the census reports primary or secondary data? 

9) What do you mean by classification of data? What are the objectives? Also discuss the various methods of classification.

10) What do you mean by frequency distribution? Discuss the various problems in its construction.

11) What do you mean by central tendency? Illustrate the important measure of central tendency. Under what conditions is median more suitable than other measures of central tendency?

12) What is meant by dispersion? What are the methods of computing dispersion? Which method is best?

13) Define skewness. Explain various types of skewness and tests of skewness. Differentiate between Dispersion and Skewness.

14) What do you mean by moments? Discuss how you can measure kurtosis with the help of moments.

15) Define Time Series. Also discuss the components of time series.

16) Define Index Numbers. Discuss the problems in the construction of Index Numbers. Discuss their uses.

17) Explain the Cost of Living Index Numbers.

18) Explain the following: a) Time reversal test b) Base shifting c)Quantity index