JUNE-2021
B.Com. (2nd Semester) Examination
COMMERCE
Paper: BCM-201 (New Course)
BUSINESS MATHEMATICS AND STATISTICS
Full Marks : 80
Pass Marks : 35%
Time : Three Hours
Notes: (i) Answer all questions
(ii) The figures in the right margin indicate full marks for the questions.
SECTION: A
I. Answer the following questions: (2X5=10)
(a) What is matrix?
(b) Define quartile.
(c) Write the product formula of differentiation or derivative.
(d) What is positive correlation?
(e) What do you mean by range and coefficient of range?
SECTION – B
II. Answer any four of the following questions: (5x4=20)
(a) What is harmonic mean? What are its uses?
(b) What are the absolute and relative measures of dispersion?
(c) What is quartile deviation and coefficient of quartile deviation?
(d) What is upper quartile and 9th decile? How will you compute it in continuous series?
(e) What is transpose of matrix? Explain by an example.
(f) Mean salary of 85 male workers in a factory is Rs.8,880/- and mean salary of 115 female workers of the factory is 7,000/-. Find the mean salary of all 200 workers in the factory.
SECTION-C
III. Answer any five of the following questions: (10X5=50)
(a) What is correlation analysis? Explain different types of correlation with appropriate examples.
(b) What is mean deviation (MD) and standard deviation (SD)? What are its applications in statistical analysis?
(c) Compare mean, median and upper quartile from the following data.
(d) Find the inverse of the following matrix.
(e) (i) If , Find
(ii)
(f) Calculate standard deviation from the following data:
(g) Compare Karl Pearson’s coefficient of correlation from the following data:
