Discuss the concept of skewness. Explain how it is different from dispersion.

(b) The median, mode and Karl Pearson's coefficient of skewness of a frequency distribution are respectively 17.4, 15.3 and 0.35. Calculate the coefficient of variation for the distribution.

2. Critically examine the methods used for measuring trend in time series data. Which method according to you is the best? Justify your answer with reasons.

3. What is a geometric mean? When would you like to use geometric mean? Given two positive numbers and prove that geometric mean lies between arithmetic mean and harmonic mean.

4.(a) Explain the concept of regression. Using the data obtain the linear regression equation Y a bx

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Estimate Y when x 6.2

5. Define probability distribution function of binomial distribution. Under binomial distribution on an average 9 boats out of total 10 boats arrive safely on shores. Find the mean and standard deviation of boats returning safely out of a total of 500.

6. What is cluster sampling Discuss its advantages.

7. Discuss briefly the various measures of central tendency.

8. The mean life of a bulb is 41.5 hrs with a standard deviation of 2.5 hours. What is the probability that a simple random sample of size 50 drawn from this population will have a mean life between 40.5 hrs and 42 hrs. [Note the table value when z 2.828 is 0.4977 and when z 1.4140 is 0.4207.]

9. Calculate index numbers using Paasche's method and Fisher's method from the following data p price q quantity.

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10. A sample of 400 students in a class is found to have a mean height of 171.38 cm. If the population mean height is given to be 171.17 cm with a standard deviation of 3.30 cm, will it be considered that there is no significant difference between the sample and population mean heights

11. Write short notes on (anyone) t-distribution Relation between mean, median and mode

12. Differentiate between primary and secondary data.

13. Construct Laspeyer's Quantity index. <img src='./qimages/9756-13.jpg'> <br><br>

14. The probability that a boy will get scholarship is and that a girl will get is What is the probability that at least one of them will get the scholarship