Ques 1.

 (a) Calculate mean, median and mode from the following data.

(b) Calculate the coefficient of variation from the data given above.

Ques 2.

Bring out the distinction between sample survey and census. Describe the steps you would follow in collecting data though a sample survey. Prepare a small questionnaire for collection of income and expenditure levels of households.

Ques 3.

The probability that Rajesh will score more than 90 marks in class test is 0.75. What is the probability that Rajesh will secure more than 90 marks in three out of four class tests?

Ques 4.

Bring out the major properties of binomial distribution. Mention certain important uses of this distribution.

Ques 5.

a) Fit a straight line (Y = a + bX ) to the following data. Compare the estimated values of the dependent variable with its actual values.

X 5 8 10 12 13 15 17 16

Y 8 12 14 10 13 16 14 17

b) Define correlation coefficient. What are its properties?

Ques 6.

What is a life table? Explain its uses and limitations.

Ques 7.

Bayes’ theorem of probability

Ques 8.

Age specific birth and death rates

Ques 9.

Measurement of skewness

Ques 10.

Simple random sampling and Stratified random sampling

Ques 11.

Type I and Type II errors in hypothesis testing

Ques 12.

Estimator and Estimate