Question
Explain functions and importance of Statistics.
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It plays a vital role in various fields, including business, economics, social sciences, medicine, and more. Statistics helps in making informed decisions by providing valuable insights and understanding patterns and trends within data. In this essay, we will explore the functions and importance of statistics in different aspects of life.
Functions of Statistics:
1. Data Collection and Organization:
Statistics aids in the systematic collection of data from various sources. This data can be in the form of surveys, experiments, or observational studies. The data is then organized in a structured manner, allowing for easier analysis and interpretation. This function is crucial as it lays the foundation for all subsequent statistical analyses.
2. Data Analysis:
One of the primary functions of statistics is to analyze the collected data. Various statistical methods, such as descriptive statistics, inferential statistics, regression analysis, and hypothesis testing, are employed to extract ____ __ _________ _____ _____________ ________ __________ __________ ____________ ______ ____________ _______.
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Correlation and Regression
What is a parametric function? How can we differentiate parametric functions ?
For a Group of 50 male workers, the mean and standard deviation of their daily wages are Rs. 72 and Rs. 9 respectively. For another group of 40 female workers these are Rs. 54 and Rs. 6 respectively. Find the standard deviation for the combined group of 90 workers.
Solve the following equations by using Cramer’s Rule.
x-2y = 11
7x-4y = 27
A stereo manufacturer determines that in order to sell x units of a new stereo, the price per unit, in rupees, must be p(x)= 1000 - x. The manufacturer also determines that the total cost of producing x units is given by C(x) = 3000 + 20x.
Differentiate between Descriptive and Inferential statistics.
Positive correlation and negative correlation
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