Punjab University B.Com Part 1 Past PapersBusiness Statistics & Mathematics 2011 Paper Code BC 301 Time : 3 Hours Marks: 100Note: Attempt any five questions. All questions carry equal marks. Attempt at least two Questions from each section.SECTION 1 Question No. 1 Classes Frequency 12.5-17.5 2 17.5-22.5 22 22.5-27.5 19 27.5-32.5 14 32.5-37.5 3 37.5-42.5 4 42.5-47.5 6 47.5-52.5 1 52.5-57.5 1 Required: Obtain mean, median, and Co-efficient of variation Question No. 2X: 5 6 7 8 9 10 11 12 13 14 15 Y: 9 7 10 3 13 11 14 10 14 12 18Required: Calculate coefficient of correlation and also the line of regression y on x Question No. 3A population consists of six numbers 3, 6. 9. 12, 15, and 18. Consider all possible samples of size three numbers, which can be drawn without replacement from this population. Find: (i)The mean of the population(ii) The standard deviation of the population.(iii) The mean of the sampling distribution of the means.(iv) The standard error Question No. 4The following data gives the prices and quantities of various commodities for the year 1995 and 2002: Commodity Prices (Rs. Per Quintal) Quantities (1000 of Quintals) 1995 2002 1995 2002A 60 80 270 290 B 40 45 125 140 C 20 25 130 140 D 55 70 270 350 Calculate weighted index number of prices for the year 2002 by taking the year 1995 as base year and using formulae recommended by Laspeyre, Fisher, Paache’s and Marshall. SECTION 2 Question No. 5Download File To see this Question Calculate: (i) A – 3B (ii) AB Question No. 6(a) Solve the following:X2 + 5x = 50 (b) The sum of two consecutive even integers is 66. Find the numbers. Question No. 7(a) The 54th and 4th terms of an A.P are -61 and 64 respectively. Show that the common difference is – 2.5 and 23 term is 16.5. Show that the sum of the series (b)0.53 + 0.0053 + — 53 + 0.000053 +…… to infinity is 53/99 Question No. 8(a) A property changed hands 3 times and at each time the loss to the seller was 10%. If in the last transaction the loss was Rs. 202.50. Find out the original value of the property.(b) The difference between the simple and compound interest on a certain sum is Rs. 31 for three years at 10% p.a. Find out the sum. |
2011 Paper AnalysisQ.No.1 : Measures of central tendency Q.No.2 : Coefficient of Correlation and Regression Q.No.3 : Population and Mean Sampling Q.No. 4 : Index Numbers Q.No.5 : Matrices Q.No. 6 : Simultaneous Equations Q.No.7 : Sequence and Series Q.No.8 : Interest, Future Amount |

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