Tamil Nadu Open University (TNOU) 2009-2nd Year B.Sc Mathematics " STATISTICS " UG 468 BMS 05 - Question Paper
WS 9
UG-468 BMS-05B.Sc. DEGREE EXAMINATION JANUARY 2009.
(AY - 2005-06 and CY - 2006 batches only)
Second Year Mathematics STATISTICS
Time : 3 hours Maximum marks : 75
SECTION A (5 x 5 = 25 marks)
Answer any FIVE questions.
1. Compute the value of Geometric mean :
Marks : 10 20 25 40 50
Frequency : 20 30 50 15 5
2. Compute coefficient of correlation for the following data :
A987654321 B 15 16 14 13 11 12 10 8 9
3. Obtain first 4 moments about mean for the following data :
X : 2 3 4 5 6
f : 1 3 7 3 1
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4. Construct index numbers of Price from the following data : 2006 2007 Commodity Price Quantity Price Quantity | ||||||||||||||||||||
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5. One card is drawn from a standard pack of 52. What is the probability that it is either a king or a queen?
6. For the Binomial distribution the mean is 6 and
S.D. is 42 . Obtain n, p and q.
8. In a sample of 8 observations, the sum of squared deviations of items from the mean was 84.4. In another sample of 10 observations, the value was found to be 102.6. Test whether the difference is significant at 5% level.
SECTION B (5 x 10 = 50 marks)
Answer any FIVE questions.
9. Calculate quartile deviation and the coefficient of quartile deviation from the following data :
Wages in
Rupees Per week : less than 35 35-37 38-40 41-43 Over 43 Number of
wage earners : 14 62 99 18 7
10. Calculate coefficient of skewness :
X : 12.5 17.5 22.5 27.5 32.5 37.5 42.5 47.5 f: 28 42 54 108 129 61 45 33
11. From the following data obtain the two regression equations :
X : 123456789
Y : 9 8 10 12 11 13 14 16 15
12. Using Newtons formula find the annual premium at the age of 33 from the following data :
Age in years : 24 28 32 36 40
Annual premium
in Rs : 28.06 30.19 32.75 34.94 40
13. From the following data compute price index by supplying weighted average of price method using arithmetic mean
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Commodity |
P0 (Rs.) |
Q0 |
P (Rs.) |
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sugar |
3.0 |
20 kg |
4.0 |
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flour |
1.5 |
40 kg |
1.6 |
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milk |
1.0 |
10 lt. |
1.5 |
14. A box contains 3 red and 7 white balls. One ball is drawn at random and in its place a ball of the other colour is put in the box. Now one ball is drawn at random from the box. Find the probability that it is red.
15. Assume the mean height of solidiers to be 68.22 inches with a variance of 10.8 inches. How many solidiers in a regiment of 1000 would you expect to be over six feet tall?
16. In an experiment on immunization of cattle from tuberculosis, the following results were obtained
Affected Not affected Inoculated 12 26
Not inoculated 16 6
Calculate %2 and discuss the effect of vaccine in controlling susceptibility to tuberculosis.
4 UG-468
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| Earning: Approval pending. |
