Solapur University Question Paper,B.Com. II (Semester – III) ,Business Statistics,2014 Question Paper.

Solapur University Question Paper B.Com. II (Semester – III) Examination, 2014 STATISTICS Business Statistics Day and Date: Tuesday, 22-4-2014 Total Marks : 50 Time: 3.00 p.m. to 5.00 p.m. Instructions : 1) All questions are compulsory. 2) Figures to the right indicate full marks. 3) Use of soundless calculator is allowed. 4) Graph papers will be supplied on request. 1. Choose the most correct alternative : 10 1) Data collected by direct observations is of which type of data ? a) primary b) secondary c) both (a) and (b) d) none of these 2) Ogives for more than type and less than type of distribution intersect at a) Mean b) Median c) Mode d) Origin 3) Measure of dispersion based on all the observations is a) Range b) Quartile deviation c) Standard deviation d) None of these 4) If both the variables X and Y increase or decrease in the same direction, then the correlation is a) Positive b) Negative c) Null d) None of these 5) The mean of 3, 4, X, 6, 8 is 5, then X is a) 3 b) 4 c) 5 d) none of these 6) Caption refers to a) Heading of rows b) Heading of columns c) Foot note d) Source note 7) One of the regression coefficients of two perfectly correlated variables is 0.5, the other regression coefficient is a) 0.5 b) –0.5 c) 2 d) none of these Seat No. P.T.O. SLR-B – 29 8) Class mark is a) lower limit – upper limit b) lower limit + upper limit c) (lower limit + upper limit)/2 d) (lower limit – upper limit)/2 9) Quartiles divide the data into a) 10 equal parts b) 5 equal parts c) 7 equal parts d) 4 equal parts 10) The median of 3, 6, 5, 8, 4 is a) 3 b) 7 c) 5 d) 4 2. A) Define the term tabulation. With a proper diagram state the various parts of a statistical table. 5 B) State the empirical relation between mean, median and mode. Use it to estimate mean of a distribution whose median and mode are 28 and 34 respectively. 5 3. A) Draw a histogram from the following data and determine mode from it : 5 Class : 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 Frequency : 7 18 47 63 32 12 B) What is dispersion ? State the requirements of a good measure of dispersion. 5 4. Define mean, standard deviation and coefficient of variation (C.V.). 10 Compute A.M., S.D. and C.V. for the following data. Class : 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 Frequency : 7 12 24 10 7 OR 4. Define coefficient of correlation and give its properties. Also interpret r = 0, r = –1 and r = +1. Give the relation between correlation coefficient and regression coefficients. 10 5. Define regression. State regression lines and regression coefficients. 10 OR 5. Find the Karl Pearson’s coefficient of correlation between X and Y from the following : 10 X : 50, 54, 56, 59, 65, 60, 70 Y : 38, 44, 33, 36, 33, 23, 13 ————————

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