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A

Section A: Long Answer Questions

Attempt any TWO questions.

3 questions·10 marks each
1long10 marks

Explain the different types of data and methods of data collection. Describe the construction of a frequency distribution and its graphical representation (histogram, frequency polygon, ogive).

datafrequency-distribution
2long10 marks

Define skewness and kurtosis. Explain how they describe the shape of a distribution. Compute the Karl Pearson and Bowley coefficients of skewness for given data.

skewnesskurtosis
3long10 marks

Define the binomial distribution. State its properties, mean and variance. A coin is tossed 6 times; find the probability of getting exactly 4 heads and at least 4 heads.

binomialdistribution
B

Section B: Short Answer Questions

Attempt any EIGHT questions.

9 questions·5 marks each
4short5 marks

Define skewness.

skewness
5short5 marks

What is kurtosis?

kurtosis
6short5 marks

State the properties of the binomial distribution.

binomial
7short5 marks

Define quartiles.

central-tendency
8short5 marks

What is the geometric mean?

central-tendency
9short5 marks

Define independent events with an example.

probability
10short5 marks

What is an ogive curve?

graphs
11short5 marks

Find the mean of the first 10 natural numbers.

central-tendency
12short5 marks

Define a discrete and continuous variable.

data