RGU Question Paper Commerce Semester II 2020: Business Mathematics and Statistics (New)

 

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B.Com (II Semester) Examination

COMMERCE

Paper : BCM–201 (New Course)

( Business Mathematics and Statistics )

Full Marks : 80

Pass Marks : 35%

Time : Three Hours

Note : 1. Answer as per instructions in each Section.

2. The figures in the margin indicate full marks for the questions.

Section—I

1. Answer any five of the following questions : 2×5=10

(a) What is mean?

(b) What is variance?

(c) What is median?

(d) What is positive correlation?

(e) What is square matrix?

(f) Define mode.

(g) Give two advantages of statistics.

Section—II

2. Answer any four of the following questions : 5×4=20

(a) What is combined arithmetic mean? Explain with an example.

(b) How would you compute median in ungrouped data?

(c) What is Karl Pearson’s coefficient of skewness?

(d) What are maxima and minima of a function?

(e) Distinguish between mean and median.

(f) How would you compute the upper quartile in continuous series?

(g) What are the features of questionnaire?

(h) What is covariance? Mention its formula.

Section—III

3. Answer any five of the following questions : 10×5=50

(a) Find the inverse of the matrix A if it exists :

(b) (i) Find dy/dx, when y = (x + 2)(x + 1)

(ii) Find the value of $\int (3x^2+2)dx$.

(c) Compute arithmetic mean and median of the following :

(d) Find standard deviation of the following :

(e) Find Karl Pearson’s coefficient of correlation of the following :

(f) What is arithmetic mean? How is it computed in case of grouped and ungrouped data?

(g) What is correlation? Explain different methods of computing correlation coefficient.

(h) Distinguish between harmonic mean and geometric mean.

(i) What is regression? Explain various types of regression.