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A

Section A: Long Answer Questions

Attempt any TWO questions.

3 questions·10 marks each
1long10 marks

Define dispersion. Explain different measures of dispersion. Compute the standard deviation and coefficient of variation for a given frequency distribution and comment on consistency.

dispersionstandard-deviation
2long10 marks

Explain the method of least squares. Fit a straight line of regression of Y on X to the given data and estimate the value of Y for a given X.

regressionleast-squares
3long10 marks

Define a random variable. Explain probability mass function and probability density function. Find the mean and variance of a given probability distribution.

random-variabledistribution
B

Section B: Short Answer Questions

Attempt any EIGHT questions.

9 questions·5 marks each
4short5 marks

Define dispersion and its measures.

dispersion
5short5 marks

What is the range of a data set? Find the range of 12, 15, 20, 8, 25.

dispersion
6short5 marks

Define regression coefficients.

regression
7short5 marks

State the multiplication theorem of probability.

probability
8short5 marks

What is a random variable?

random-variable
9short5 marks

Define positive and negative correlation.

correlation
10short5 marks

What is the median of 7, 3, 9, 5, 11?

central-tendency
11short5 marks

Define the probability density function.

distribution
12short5 marks

What is meant by a scatter diagram?

correlation