DCA1206 BASIC STATISTICS AND PROBABILITY JAN FEB 2026

Description

SESSION	JAN FEB 2026
PROGRAM	BACHELOR OF COMPUTER APPLICATIONS (BCA)
SEMESTER	II
COURSE CODE & NAME	DCA1206 BASIC STATISTICS AND PROBABILITY

 

 

Assignment Set – 1

 

Q.1. Describe the types of data classification based on nature, measurement scale, and time reference. Provide examples. (10 Marks)

Ans 1.

Data classification is the method of separating data into categories according to specific features. When it comes to statistics, data gets categorizes based on three general parameters: the nature of data, measurement scale, and the time reference. The understanding of these classifications aids researchers to choose the most appropriate statistical techniques and analysis tools.

Classification Based on Nature

On the basis of nature, data is divided into qualitative and quantitative varieties. Qualitative data,

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Q.2. Discuss the advantages and limitations of the Arithmetic Mean. In which situations it is not an appropriate measure of central tendency? (10 Marks)

Ans 2.

The arithmetic mean is the most often used indicator of central tendency in stats. It is determined by dividing the sum of all data points by the number of observations. This provides one representative value that summarizes the entire array of observations and provides the basis of many statistical algorithms.

Advantages of Arithmetic Mean

The arithmetic means is straightforward for anyone to comprehend, and also easy to determine. It

 

Q.3. Compare range, interquartile range, and standard deviation in terms of calculation, interpretation, and suitability. (10 Marks)

Ans 3.

Measures of dispersion show the extent to which the data have been around the central figure. Range, interquartile range, and standard deviation are the three key measures of dispersion. Each is unique in its method of calculation, interpretation as well as conditions to be considered suitable.

Range

The most basic measure of dispersion. It’s determined by subtracting the minimum amount in the

 

Assignment Set – 2

 

Q.4. What is a sample space in probability? Explain the concept with various examples and its importance in probability theory. (10 Marks)

Ans 4.

Probability theory refers to the field of maths that studies the possibility of events taking place. In its foundation is the notion of a sample space. It defines the possibilities of the outcomes that could occur from a random experiment. An understanding of the space of the sample is crucial before any probability can be determined or assigned.

Definition of Sample Space

The term “sample space” refers to the entire set of possible results of an experiment. It is

 

Q.5. Explain the multiplication rule of probability. How does it differ when applied to independent versus dependent events? Provide examples to clarify. (10 Marks)

Ans 5.

The probability multiplication rule can be used to determine the chance that two or more events all occur together. It calculates the probabilities of the simultaneous occurrence of many events. It’s one of the primary laws of probability theory. The rule takes different forms depending on whether the events are dependent or independent.

Multiplication Rule for Independent Events

Two separate events are considered to be separate If the existence of one particular event does

 

Q.6. Differentiate between mutually exclusive and independent events. Provide examples and explain how they influence probability calculations. (10 Marks)

Ans 6.

In the field of probability, mutually exclusive events and independent events are both important but distinct concepts that are frequently confused. Knowing the distinction between them is essential for applying the right probability rules and coming to exact conclusions when conducting statistical analyses.

Mutually Exclusive Events

Two instances are mutually exclusionary If they do not occur simultaneously. One event’s