Punjab University B.Com Part 1 Past Papers
Business Statistics & Mathematics 2009
Paper Code BC 301
Time : 3 Hours Marks: 100
Note: Attempt any five questions. All questions carry equal marks. Attempt at least two Questions from each section.
For the following data obtain the
(c) Coefficient of variation
Weekly Wages 30-39 40-49 50-59 60-69 70-79 80-89 90-99
No.of Workers 6 10 11 12 32 18 8
Question No. 2
(a) Find the Chain indices from the following price relative of four commodities using the Geometric Mean as an average
A B C D
1951 81 77 119 55
1952 62 54 128 52,
1953 104 87 111 100
1954 93 75 154 96
1955 60 43 165 88
(b) A card is drawn form a well shuffled pack of 52 playing cards, what is the probability that it is
(i) Black Card (ii) A Face Cards
A population consist of four values 2, 4,6,10, Take all possible sample of size n=2 without replacement. Find the mean of each sample. Form a frequency table of sample Means and calculate Mean and Variance. Also Verify that
1) µ x̄ =µ 2) σ2x̄ = (s2/n) .(N-n/N-1)
Question No. 4
(a) Discuss the Association among 1000 school boys between the general ability and their mathematical ability form the following data. Using level of significance be 5%.
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(b) Find Regression coefficient of the following case.
ΣX=17.6, ΣY=38.2, ΣX=17.6, ΣXY=94.7, ΣX=17.6, ΣX2 =49.64 , ΣX=17.6, ΣY2 =182, n=8
Question No. 5
(a) Solve the following equation by any appropriate method.
(√5x+4) - (√3x+1) =1
(b) Solve the equation for x
x +1/3x = 1/x – 1/3
Question No. 6
(a)Solve the following systems of equations:
(b) The 10th term of an arithmetic progression is 20 and 20th term is 40. Find the 7th term.
Question No. 7
(a) If the difference between the, simple and compound interest for 3 year at 5% is Rs.61. Find the principal amount
(b) Find the accumulated value of Rs.5000 invested at the end of each quarter year for 5years at 8% compounded quarterly.
Question No. 8
Give answer of the following and unnecessary details will be penalized.
(i) Define a Matrix
(ii) Define a common Ratio
(iii) Define compound Interest
(iv) Define Annuity Due
(v) Define the Population
(vi) What is the difference between Sample and Sampling?
(vii) Define the term Correlation
(viii) Define Standard Deviation
(ix) What do you understand by Measure of Central Tendency?
(x) Define the weighted mean
2009 Paper Analysis
Q.No 1 ; Measures of Central Tendency
Q.No.2 : Index Number, GM as Average
Q.No.2b : Probability Distribution
Q.No.3: Sampling Distribution Technique
Q.No.4a: Hypothesis Testing
Q.No.4b : Regression Co efficients
Q.No.5 : Simultaneous Equations
Q.No.6a : Solve the Equation
Q.No.6b : Sequence and Series
Q.No.7 : Principal Amount and Interest
Q.No.8 : Short Questions