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Statistics is science of the collection, organization, and interpretation of numerical data. It is the branch of mathematics that involves the use of quantified representations, models for the representation and analysis of given empirical and real data.

In other words, statistics are the classified facts representing the conditions of the people in a state, especially those facts which can stated in numbers or any tabular or classified arrangement. The word statistics, when referring to the scientific discipline, is singular, as in “Statistics is an art“.

Statistics has define in different ways. In the ancient times, kings and rulers defined it as the “the science of kings, political and science of statecraft”. It has define as science of counting and the science of averages by A. L. Bowley. In the older days, statistics data used in the administrative departments of the states and the scope of data was limited. Earlier it used by governments to keep record of birth, death, population etc., for administrative purpose only.

Statistics is a developing discipline. It has define as science of counting, science of averages and science of statistics and probabilities. Statistics are aggregates of facts, numerically expressed, collected in an orderly and systematic way and for a predetermined purpose.

A statistician is someone who is particularly well versed in the ways of thinking necessary for the successful application of statistical analysis. Such people have often gained this experience through working in any of a wide number of fields. There is also a discipline called mathematical statistics, which is concern with the theoretical basis of the subject.

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Statistics is the science of the collection, organization, and interpretation of numerical data. It is the branch of mathematics that involves the use of quantified representations, models for the representation and analysis of given empirical and real data. Statistics is a developing discipline. It has been defined as the science of counting, science of averages and science of statistics and probabilities.

Some statistical measures include regression analysis, mean, kurtosis, skewness, analysis of variance and variance. Statistics has a wide variety of applications. Business analytics, econometrics, actuarial science, biostatistics, geostatistics, environmental statistics etc- are some of the fields that require the application of statistics.

The two main branches of statistics are:

• Descriptive statistics- This branch involves the collection and presentation of data. The presentation of data can be done in various forms like graphs, charts, tables etc. it also involves calculating appropriate statistical averages which would serve as the best representation tools for the data. Descriptive statistics forms the basis for analysis and discussion in such diverse fields as securities trading, the social sciences, government, the health sciences, and professional sports. For example- industrial and population statistics, average age of people who vote etc.
• Inferential statistics- This branch of statistics involves drawing conclusions from limited information taken on sample basis and testing the reliability of the estimates. It deals with analysis of data, making estimates ad drawing conclusions. The analysis usually starts with a hypothesis and the consistency of the data in accordance to the hypothesis is checked.

For example- if one has to estimate the number of children under 12 years in a country, one can take a population sample and find the proportion of kids aged 12 years or less in that sample. From this sample, using suitable probability techniques, we can estimate the total number of kids under 12 years of age in the entire population.

Both these branches of statistics require the use of scientific methodology and are inter-dependent. Scope of this field is tremendous. There is a great demand for statisticians in the insurance sector and other fields like, management science, information technology, bio-informatics, biostatistics, finance etc. Statistics students make great actuarial scientists.

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Statistics are the study of science, where we conduct data research on scientific application of mathematical principles to the collection, analysis, and presentation of numerical data. Statisticians professional contributed to scientific inquiry by applying their mathematical and statistical knowledge to the design of surveys and experiments; the collection, processing, and analysis of data; and the interpretation of the final results.

Some areas that use modern statistical methods are the medical, biological and social sciences, economics, finance, marketing research, manufacturing and management, government, research institutes and many more. Exciting new areas are opening up, due to developments in areas such as biotechnology, survey research and cloud computing.

Need and Scope of Statistics!!

There is need of statistical data in every walk of life. No field of study is complete without the supporting quantitative information about that field. Look at your study materials in Economics, Commerce, Accountancy, Geography, Physics, Chemistry, Biology etc. These are all flooded with quantitative information. No government can function well without the support of statistical data, The need of statistics is immense.

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• Probability (Probability of an event, Conditional Probability, Discrete and Continuous Probability Distributions and their properties)
• Random Variables and Processes
• Regression Analysis
• Probability distributions – (Normal, Binomial, Poisson, Hyper-geometric)
• Measures of Central tendency- Mean, Median, Mode
• Measures of Dispersion- Standard deviation, Mean deviation, Variance
• Sampling Theory
• Time Series Analysis and Forecasting
• Z-tests, T-tests, Chi-square tests
• Confidence Intervals
• Testing of Hypothesis
• Analysis of Variance (ANOVA)
• Sample Surveys
• Power and Confidence Intervals
• Scaling of Scores and Ratings
• Principal Components
• Factor Analysis
• Cluster Analysis
• Correlation and Causation
• Linear Programming Problems

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Know Importance of Web Statistics Tools:

Understandable and reliable web statistics tools is one of the most important key factors when making your research/data in scientific applications or in online business (to keep track & monitor web traffics). It’s better to stick with one or two statistics tools, which matches your requirements the most.

Here is list of most popular/used web statistics tools as follows:—-

1. Google Analytics
2. AWStats
3. SiteMeter
4. StatsCounter
5. Performancing Metrics
6. GoStats
7. CrazyEgg

The most popular website statistic programs are Google Analytics, Awstats, SiteMeter, StatsCounter, GoStats and Performancing Metrics and they usually comes free of charge. This usually takes time to learn and experimenting is probably the most effective way to determine what works best for you.

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Statistics is the science of making effective use of numerical data relating to groups of individuals or experiments. It deals with all aspects of this, including not only the collection, analysis and interpretation of such data, but also the planning of the collection of data, in terms of the design of surveys and experiments.

A statistician is someone who is particularly versed in the ways of thinking necessary for the successful application of statistical analysis. Often such people have gained this experience after starting work in any of field of application of statistics. Thus it is difficult for students to grab the concept of statistics at a very early age.

Many school/college students are not shining in academics due to various reasons. And especially if it is statistics problems then students need certain help to increase their IQ level in solving statistic questions. And if you are looking for a statistics tutor you are going in the right direction. You can get excellent statistics tutor and research materials for students to increase their knowledge on this complicated subject by using online tutoring sites.

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• Subjective Probability
• Random Variables and Processes
• Probability distributions – Normal, Binomial, Poisson, Hyper geometric etc.
• Sampling Theory
• Descriptive and Inferential Statistics
• Measures of Central tendency- Mean, Median, Mode
• Measures of Dispersion- Standard deviation, Mean deviation, Variance
• Quartile Deviation, Inter-quartile range(IQR)
• Z-tests, T-tests, Chi-square tests
• Confidence Intervals
• Hypothesis Testing
• Correlation and Causation
• Linear Programming Problems

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‘Statistics’ may mean data of some sort for a layman but it has a much broader meaning. Statistics is a kind of research methodology, which deals with collection, analysis, interpretation and presentation of data. It is applicable to a wide variety of academic disciplines, from natural and social sciences to humanities, government and business.

Statistics plays a very vital role in the formulation of economic plans, estimation of industrial demand and sales figures, maintenance of the quality of products and minimization of inspection costs, forecasting agricultural production and helping studies in the field of genetics. Thus a statistician is well versed in statistical methods and its applications. The numerous applications of Statistics make its knowledge indispensable.

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There are many statistical tools and techniques available, one being descriptive statistics. Descriptive Statistics deals with the methods of organization, reduction, summarization and presentation of data in order to make them amenable to rational analysis and interpretations. The level of complexity of statistical problems varies. It may range from computation of simple measures like mean, median and mode to computation of standard regression results and complicated forecasts using time series data. Across all colleges students are often tested on these topics

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