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Are you looking for some short and reliable notes during your CSIR-NET preparations? Then, you have come to a perfect place!
Candidates who are preparing for their CSIR NET exam might in need to get some short study notes and strategies to apply while preparing for the key exam of their life. At this point of time, We at BYJU'S Exam Prep come up with short notes on the Data Analysis which comes under the Analytical Chemistry section of the Chemical Science syllabus.
This set of short notes on Data Analysis has been meticulously designed by our experienced subject-matter experts to give you the most standard set of study materials to be focused upon. In this cut-throat competitive world, students need to prepare themselves with the best study materials to help them in the learning process and for their future. Here we are offering the best study notes that are reliable and can be used by the students during their preparations for the upcoming CSIR-NET 2021 exam.
Short Notes on Data Analysis
It is the process by which useful information can be discovered through inspecting data. It is used in different business, social science domains and science. Nowadays, it plays a very important role in making decisions in a more scientific way. In other words, it is the process through which data is organized to draw conclusions. This analysis uses analytical as well as logical reasoning to gain information from data
Mean and standard deviation:
Mean: It is an average or in other words, collection of numbers. It is also known by the name of expected value. It is the sum of all values divided by the number of numbers in the collection. Its formula is:
Standard deviation: It measures the amount of variation for a given set of values. When a standard deviation is low, it indicates the values are close to mean while high standard deviation indicates the values are spread over a wider range. Its formula is:
Absolute and relative error:
Absolute error: It is the difference between actual and measured value. If x is actual value and x0 is the measured, then absolute error will be calculated as:
Here, Δx is called an absolute error.
Relative error: It is the ratio of absolute error to actual value. If x, x0 and Δx are actual, measured, and absolute quantities respectively, then the relative error can be calculated as:
Covariance and correlation coefficient:
Covariance: It basically measures the relationship between two random variables. It can have both positive and negative value.
- Positive covariance indicates that two variables will move in the same direction.
- Negative covariance indicates that two variables will move in opposite directions.
Its formula is:
- X is a random variable.
- E(X)=𝜇 the mean of the random variable X.
- E(Y) = v is the mean of the random variable Y.
- n = the number of items in the data set.
Correlation coefficient: It measures the strength of the linear relationship between two variables. The range of values is between -1.0 and 1.0. Its formula is:
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