Metric space examples solution || urdu,hindi || ZR.bhatti ||

Metric space solved examples or solution of metric space examples.

In this video, I solved metric space examples on METRIC SPACE book by ZR. BHATTI.

Introduction to Statistics

              Statistics

History of statistics

All the writers agree with the word ‘STATISTICS’ have been derived from the Latin  word ‘status’ or Italian word ‘statista’ or the gasman word ‘statistik’ or the French word ‘statistique each of which was used to mean political state.

Zimmerman a professor of philosophy used the word statistics in 1787 professor Jacob Bernoulli developed the rules of probability theory Galton developed the theory of regression and correlation R.A fisher and Pearson developed the theory of estimation and analyses of variant and hypotheses testing etc.   

Definitions of statistics:

 1) Statistics is a science of fact and figure.

2)  Statistics is a science probability and variability.

3)  Combined study of four method used to collect, arranged, analyze and interpret the numerical data to draw conditions and to make decisions in any field of enquiry.

 Meaning of the word of statistics:

 The word statistics has three different meanings.

 Statistics as Plural sense;

 Firstly, In plural sense statistics mean that are systematically collected and presented in the form of tables or charts or graph etc.

 For example: if we collect the height, weight and temperature of the 10 insects. These numerical measures are the technically called data. To record such characteristics statistics is used in plural sense.

 Statistics as singular sense;

 Secondly, In singular sense statistics meaning methods used to collect, arrange, analyze and interpret the numerical data. These methods are used to describe the problem.

 For example: if we went to know about the average, weight and age of college student. We will use these methods.

Statistics as a plural of statistic; 

Statistics is a plural of statistic. Where statistic is any quantity measured from sample data.

For example; if a population of college students consists of 1000 students and we select a simple random sample of the 10 students. Then the mean height of 10 students is statistic. We compute statistics from Statistics by Statistics.

Metric Space

In this video,i defne metric space and its examples on METRIC SPACE book by QK ZR BHATTI
In mathematics, a metric space is a set for which distances between all members of the set are defined. Those distances, taken together, are called a metric on the set. A metric on a space induces topological properties like open and closed sets, which lead to the study of more abstract topological spaces.

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