Punjab University B.Com Part 1 Past Papers
Business Statistics & Mathematics 2013
Time : 3 Hours : 100
Note: Attempt any five questions. All questions carry equal marks. Attempt at least two Questions from each section.
Question No. 1
Weights of 175 male students at a university are given in the following frequency table:
Weight 118-126 127-135 136-144 145-153 154-162 163-171
Frequency 20 35 49 32 25 14
Calculate: Karl Pearson’s and Bowley’s Coefficient of skewness.
Question No. 2
Compute index number for 2012 from the following taking 2008 as the base and using formulae recommended by:
(iii) Marshall’s and
A B C
Year Price Qty Price Qty Price Qty
2008 5.0 80 3.6 90 3.1 20
2012 8.7 100 5.7 95 4.6 30
Question No. 3
A survey of 1600 families was conducted to observe that high and low income people send their children to private and government school. The following results were obtained:
Income Private Government Total
High 494 506 1, 000
Low 162 438 600
Total 656 944 1, 600
Test whether income and type of school are independent at 5% level of significance. (Table value is 3.84)
Question No. 4
Given the six elements Population 0,3,6,12,15 and 8 now many samples of size n = 3 can be drawn without replacement form this population. Form sampling distribution of sample means. Hence state and verify the relation between:
(i) Mean of the sampling distribution of the means and the population mean.
(ii) Variance of the sampling distribution of the mean and population variance.
Question No. 5
Question No. 6
(a) Solve for x and y:
4x – 3y = 10
5x -7y = 6
(b) The area of a rectangular plot of land fenced all round is 2000 sq. yards and the total length of fencing is 180 yards.
Find the length and width of plot.
Question No. 7 (a)
(b) A company offers two alternatives for the payment of salary for the post of a high executive.
Either one may receive Rs.2,40, 000 per year or Rs. 100 in the first month, Rs.200 in the second month, Rs.400 in the third month and so on. Which of the two alternatives should he prefer?
Question No. 8
(a) Find the compound interest on Rs.4500 in 3 years.
If the rate of interest is 4% for the 1st year, 5% for the 2nd year and 6% for the 3rd year
(b) Find the accumulated value of Rs. 5, 000 invested at the end of each quarter for 5 years at 8% compounded quarterly.
2013 Paper Analysis
Q.No.1 : Central Tendency Skewness Co efficients
Q.No.2: Index Numbers
Q.No.3: Test Level of Significance
Q.No.4: Sampling Distribution
Q.No 5: Inverse of A Matrix
Q.No.6 : Simultaneous Equation, Geometry
Q.No.7 : Geometric and Sum of Series
Q.No.8 : Compound Interest and Accumulate Value