Fundamentals of Mathematical Statistics (BCA) 1st Sem Previous Year Solved Question Paper 2022

Practice Mode:
1.

Define statistic.how do you think that the knowledge of statistic is essential in decision making? give example

Explanation

Statistics is a branch of mathematics and a scientific discipline that involves collecting, organizing, analysing, interpreting, and presenting data. It provides a set of techniques and methods for making sense of large volumes of information, drawing conclusions, and making informed decisions. Statistics can be used to summarize and describe data, make predictions, test hypotheses, and uncover patterns and relationships within datasets.

The knowledge of statistics is essential in decision-making for several reasons:

1. Data Interpretation: Statistics enables individuals and organizations to make sense of data. Decision-makers can use statistical techniques to interpret and understand complex information, helping them see trends and patterns that might not be apparent through simple observation.

2. Informed Decisions: By using statistics, decision-makers can make informed choices rather than relying on intuition or guesswork. This leads to better decision outcomes because they are based on empirical evidence.

3. Risk Assessment: Statistics is crucial for assessing risks and uncertainties. For example, businesses use statistical methods to estimate the probability of success or failure of a project, and individuals use statistics to make informed decisions about their investments or health.

4. Performance Evaluation: Statistics can be applied to evaluate the performance of various aspects of a business, organization, or system. For example, a company might use statistical analysis to assess the effectiveness of different marketing strategies.

5. Comparative Analysis: Statistics helps in comparing different options or scenarios. For instance, a city government might use statistical data to decide which infrastructure project to prioritize based on cost-benefit analysis.

6. Quality Control: In manufacturing and production, statistics is used for quality control. It helps ensure that products meet certain quality standards, reducing defects and ensuring customer satisfaction.

Example:

Let's say a healthcare administrator needs to decide which of two new medical treatments to adopt for a specific condition. They have data from clinical trials for both treatments. By applying statistical methods, they can compare the effectiveness of the treatments, taking into account factors like patient age, gender, and the severity of the condition. The administrator can use statistical tests to determine if one treatment is statistically significantly more effective than the other. This statistical analysis provides objective evidence to support the decision, rather than making a choice based on personal biases or anecdotal evidence.