Question
Differentiate between Descriptive and Inferential statistics.
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It is a powerful tool used to make sense of the vast amount of information available in various fields, such as science, business, social sciences, and more. Two fundamental branches of statistics are descriptive statistics and inferential statistics. Both serve distinct purposes and are essential in drawing meaningful conclusions from data. In this essay, we will differentiate between descriptive and inferential statistics, highlighting their characteristics, applications, and key differences.
Descriptive Statistics:
Descriptive statistics involve the process of summarizing and describing data in a meaningful and concise manner. Its primary objective is to organize raw data into a more understandable and informative form to gain insights into the underlying patterns and characteristics of the dataset. Descriptive statistics use various techniques to accomplish this, including measures of central tendency (e.g., mean, median, and mode) and measures of dispersion (e.g., range, variance, and standard deviation). It also involves graphical representations like histograms, bar charts, pie charts, and scatter plots to visually represent the data.
The key characteristics of descriptive statistics are as follows:
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Explain with example the properties of matrix multiplication.
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.
Inverse matrix
How many units must the manufacturer produce and sell in order to maximize profit?
At what rate percent compound interest per annum with Rs. 640 amount to Rs. 774.40 in 2 years?
State the characteristics of good measure of variation.
What are the rules of differentiation? Explain it with examples.
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