OUR OWN PUBLICATION FROM 1ST JULY, 2018 FOR B.COM

1. B.COM FIRST SEMESTER COMPLETE NOTES (CHOICE BASED) WITH SOLVED FINANCIAL ACCOUNTING BOOK
2. B.COM 3RD SEM COMPLETE NOTES WITH SOLVED BOOKS OF:
*BUSINESS STATISTICS SOLVED PAPERS OF LAST 7 YEARS
* FINANCIAL MANAGEMENT BOOK
3. B.COM 5TH SEMESTER COMPLETE NOTES WITH SOLVED BOOKS OF MANAGEMENT ACCOUNTING OF JAIN AND NARANG

Monday, July 22, 2013

Dibrugarh University - Business Statistics (Nov' 2012)

2012 (November)
Commerce (General/Speciality)
Course: 303
Full Marks: 80
Time: 3 Hours
1. (a) Answer the following question:
(i) What do you mean by sample?
(ii) when are pie charts used to represent statistical data?
(iii) What do you mean by frequency distribution?
(iv) Write the relationship between coefficient of correlation and the two regression coefficients.
(v) Write the additive model used for time –series analysis.

(b) Fill up the blanks:
(i) Fisher’s index number is the ____ of Laspeyres’ and Paasche’s indices.
(ii) Flood in Assam is an example of ______ in time series.
(iii)The rang of coefficient of correlation _______.

2. (a) (i) “Statistics is like a mould of which one can make a God or a Devil .” Discuss.
(ii) Calculate arithmetic mean and harmonic mean from the following data:
5, 2, 2, 3, 4, 4, 1
(iii)Calculate standard deviation from the data given below:
 Wages: 120 – 130 130 – 140 140 – 150 150 – 160 160 – 170 170 – 180 180 – 190 No of Person: 15 30 44 60 30 14 7

Or

(b)  (i) “ All facts numbercially expressed are not statistics.” Discuss.
(ii) Prove that for any two values: AM _> GM_> HM _>
(iii)  Calculate the two quartiles, 8th decile and 57th percentile from the data given below :
 Values: 15 – 20 20 – 25 25 – 30 30 – 35 35 – 40 40 – 45 45 – 50 50 – 55 Frequency: 30 40 45 50 45 70 40 35

3. (a)  (i) write the uses of correlation analysis.
(ii) Given the two regression equation as 8x – 10y + 66 = 0 and 40x – 18y =214, find the coefficient of correlation between x and y.
(iii) Frome the given data below, find the coefficient of correlation: N =12, EY = 5, EX2 =598, EY2=285, EXY = 325

Or

(b)  (i) prove that the coefficient of correlation is the geometric mean of the two regression coefficients
(ii) Prove that coefficient of correlation is independent of the change of the origin and scale of measurement
(iii) The demand of TV sets as obtained by a sample survey on the residents of 7 towns is shown below :
 Population (in’ 000): 11 14 14 17 17 21 25 Demand of TV: 15 27 27 30 34 38 46
Find the linear regression equation of Y on X and also find the demand of TV sets in a town of population 30 thousand

4. (a) (i) Write a short note on time- reversal test.
(ii) Distinguish fixed based index and chain- base index.
(iii) Calculate the cost of living index from the data given below :

 Item Cost of Living Weight Food 525 40 Clothing 325 16 Fuel and Lighting 240 15 House rent 180 20 Others 200 9

Or

(b)   (i) “ The wholesale price index of the year 2010 with the year 2005 as base year is 140.’’ What does the statement tell you about the price rise ?
(ii)Write Why Fisher index number is regarded as an ideal index number.
(iii) Construct an appropriate index number from the data given below :

 ITEM 2005 2010 Price Quantity Price Quantity A 4 50 10 40 B 3 10 9 2 C 2 5 4 2

5. (a)  (i)What do you mean by seasonal variations?
(ii)From the following data, calculate 3- yearly moving averages :
 Year: 2001 2002 2003 2004 2005 2006 Production: 12.7 17.3 17.7 18.9 19.2 19.3

(iii) From the data given, below, find trend values using the latest squares principle :
 Year: 2001 2002 2003 2004 2005 2006 2007 2008 2009 Sales: 38 40 65 72 69 62 67 95 104

Or
(b) (i)Write two models used for time series analysis.
(ii) What is secular trend? What are its causes?
(iii) Calculate trends from the following data using four-yearly moving average:
 Year: 1 2 3 4 5 6 7 8 9 10 Sales: 464 515 518 467 502 540 557 571 586 612

6.  (a)  (i) What do you mean by forecasting?
(ii) Mention the purposes of business forecasting.
(iii) What is demand forecasting? Discuss the necessary steps for demand forecasting.
Or
(b) (i) What are the assumption of business forecasting?
(ii) Explain time-series analysis as a tool of forecasting.
(iii) Discuss the steps involved in business forecasting.