Many individuals believe that mathematics and statistics are similar in all aspects, but that’s certainly not the case. There are certain aspects of both the subjects that are needed in the other. Hence, they are densely interconnected. However, these two subjects can be broadly classified as two different subjects as there are numerous aspects of these subjects that are not similar to one another. This article will be solely revolving around the aspects related to both the subjects and in turn how mathematics can be used in statistics.
What is Mathematics?
Mathematics is a subject that involves the study and analysis of various topics such as space, change, structure and quantity (i.e. number). The exact scope of thedefinition of the boundary of mathematics varies from person to person. For example, a philosopher’s definition of mathematics ought to be quite different from that of a mathematician.
Well, the first line of the above paragraph is the most common definition of mathematics that professionals in the field use.
What is statistics?
Statistics is basically the study of the various things that ought to be carried out on a collection of data. This may include interpretations, analysis, organizations and presentations. To begin with the study of a particular topic, the first and foremost thing that must be developed is a statistical model.
This model is extremely important if an individual is willing to perform a proper study of all the aspects of the topic that is concerned. Statistics generally concerns the data that has been collected for a large population or a large number of days. There are numerous conclusions that can be drawn from statistical data, and yes these conclusions do match the real life experience.
However, the process of collecting the data for such a large population or over such a large time span can turn out to be extremely tedious a task and as a result of the branch of statistics which in turn is extremely interesting is extremely tough as well! It basically deals with all the aspects of the data.
Applying math’s learning to statistics
I have already described in details the scope of both the subject and stated that they are not the same. Yes, they aren’t the same. However, that doesn’t mean that one cannot be used for improving and simplifying another, does it? Certainly not! Both these subjects though separate; they are interrelated in various ways.
Individuals in the field of statistics cannot go about their work without the help of mathematics, and similarly individuals in the field of mathematics cannot go about their work without the help from statistics. Thus, these two broad subjects are inter – related. In addition to this, certain individuals consider statistics to be a part of mathematics just like algebra and geometry. This statement, however, is quite arguable.
This field where in the lessons from mathematics are used in statistics is often referred to as mathematical statistics. This is often thought of as a separate field for the analysis of various aspects of a country on a large scale.
Important Topics is mathematical statistics
There are various important topics that are a part of mathematical statistics. This section of the article will be revolving around a few of these important topics that form a part of mathematical statistics. Listed below are the three most important topics that come under mathematical statistics:
- Probability distributions:
This is perhaps the most important topic as far as mathematical statistics are concerned. The obvious question arises, “What is the major purpose of aprobability distribution?” Well, before I get into that, let me tell you a bit about probability. Probability is define as the extent to which an event is probable to happen. It is calculated as the ratio of the number of favorable outcomes to the number of possible outcomes.
This value is always less than or equal to one. Under probability distribution, such a value is assigned to each subset of an experiment. This form of distribution may be of two types. The first is univariate wherein individual random variables are assigned alternative values as per the calculation. The second in the multivariate,wherein the individual random variables are assigned and a random vector that consist of two or more values.
- Special distributions:
This consists of various forms of distributions that are used in numerous areas in the field of science. These various forms of distributions include Gaussian distribution, Bernoulli distribution, binomial distribution, negative binomial distribution, Poisson distribution, exponential; distribution, Gamma distribution, beta distribution, continuous uniform distribution, geometric distribution and much more.
- Statistical Inference:
Statistical inference is often defined as the way in which individuals draw conclusions from the statistical data that they have. These conclusions are drawn when the data is subjected to various types of random variations. These random variations may be of any type mostly depending on the type of data that is to be considered. There are various ways in which individuals can draw conclusions.
This information is quite efficient as far as introducing new strategies of teaching are concerned. If you are facing any problems with the approach your child or student takes towards his or her mathematics homework, you might as well take a look at “How 7 things will change the way you approach Math’s Homework?” This article ought to give you seven ways and means that have proven to be quite efficient as far as changing a child’s approach towards mathematics homework is concerned.