MASTER OF BUSINESS Vr) ADMINISTRATION (RETAIL SERVICES) (MBARS) 0 Term-End Examination December, 2012 MRS-011 : QUANTITATIVE TECHNIQUES Maximum Marks : 100
Time : 3 hours
Note : Attempt any five questions. All questions carry equal marks. 1.
(a) Give one illustration each of the type of data 10 for which you would expect the frequency to be : (i) Positively skewed (ii) Negatively skewed (iii) J-Shaped (iv) U-Shaped (b) Define the following with suitable examples. 10 (i) Histograms (ii) Frequency polygon (iii) Pie diagram
2.
What do you understand by the measures of 20 central tendency. Also find Mean, Median and Mode from the following table : Income (Rs.) 100-200 100-300 100-400 100-500 100-600 100 63 83 No. of persons 15 33
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3.
(a) Define a relation and a function and examples to illustrate the difference between the two. (b) Calculate geometric mean and harmonic mean for the data given below :
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x 06 07 08 10 12 15 f 20 15 12 08 4 2
4.
5.
(a) Define Karl Pearson's coefficient of correlation. How would you interpret the sign and magnitude of a correlation coefficient ? (b) Show that : (i) It one of the regression co-efficients is greater then unity, the other must by less then unity. (ii) Arithmetic mean of regression coefficient is greater then the correlation co-efficient.
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(a) Define least squares method and hence fit a straight line to the following data :
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x 1 2 3 4 5 y 14 27 40 55 68 (b) What is business forecasting ? How does analysis of time series help in business forecasting ? MRS-011
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6.
(a) If the ratio between Laspeyre's and 10 Paasche's index number is 28 : 27. Find the missing value in the following table. Commodity x : y:
Base year Price Quantity 1 10 1 5
Current year Price Quantity 2 5 --- 2
(b) Write short notes on the following : (i) Fisher method (ii) Seasonal variations (iii) Irregular variation
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7.
(a) A room has 3 lamps. From a collection of 10 10 light bulbs of which 6 are no good, a person selects 3 at random and puts them in a socket. What is the probability that he will have light ? 10 (b) Distinguish between : (i) Sample and Population (ii) Ho and H1 in testing of hypothesis (iii) Multistage sampling and Sequential sampling.
8.
(a) A die is thrown 270 times and the results of 10 these throws are given below : No. appeared 1 2 3 4 5 6 on the die Frequency 40 32 29 59 57 59 Test whether the die is biased or not
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(b) Write Short notes on the following : The Kruskal - wallis test (i) (ii) Kolmogorov - smirnov test.
(b) Calculate geometric mean and harmonic 10. mean for the data given below : x 06 07 08 10 12 15. f 20 15 12 08 4 2. 4. (a) Define Karl Pearson's coefficient of ...
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