statistics-in-math

A Comprehensive Guide On What Is Statistics In Math

Statistics and math are two different things for data scientists. Really? But I thought statistics is the branch of mathematics!! 

I think the author has written it wrong :D… This is what you might be thinking after reading the first statement. 

But let me clear to you that statistics and math are not the same things. How do they differ? Well, I have answered it below. But before that, let me explain to you the purpose of this blog.

When it comes to statistics and mathematics, most of the students get frightened. And it is always like:

If you are one of those students and thinking is statistics easier than pure math, you are at the right place. 

I have answered almost all kinds of questions that arise in your mind regarding what is statistics in math and provided various important information. 

So, without wasting much time, let’s start with a new concept of statistics in math.

First, let’s take an overview of what is statistics in math?

Table of Contents

Statistics are considered to collect, analyze, interpret, represent, and organize the raw data. Or we can say that it is the study that carries out the collecting and summarizing data.

What is an example of statistics in math?
Statistics use for representing a sample’s property. For instance, suppose you take a math class as the population sample of all math classes. The mean of marks obtained by students at the term’s end is the statistics in math. 

What do exactly the statistics include?

It includes the measure of dispersion and the measure of central tendency

Here, the dispersions consist of standard deviation (SD) and variance, whereas the measure of central tendency consists of mean, median, and mode.

Brain Booster:
The definition of statistics as per Merriam-Webster dictionary and Sir Arthur Lyon Bowley.
Merriam-Webster dictionary: Statistics is the “classified facts representing the conditions of a people in a state – especially the facts that can be stated in numbers or any other tabular or classified arrangement.”
Sir Arthur Lyon Bowley: Statistics is the “Numerical statements of facts in any department of inquiry placed in relation to each other.”
Key Point:
What are the useful formulas for statistics in math?
“What is statistics in math” can not be understood without knowing the below formulas. Here is the table that consists of all the formulas that use in statistics in math.

Is there something known as “mathematical statistics“?

Yes, there is!!

Once you get the idea regarding what is statistics in math, you can now easily understand Mathematical statistics. It is practiced when we employ math to statistics. 

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First, it considers the science of the state that can assort and evaluate the facts about a nation, population, economy, and more.

Does it use other techniques than statistics?

Yes, it is!!!

Various mathematical techniques that are useful for statistics are:

  • linear algebra,
  • mathematical analysis,
  • differential equation,
  • stochastic analysis,
  • measure-theoretic probability theory, and much more.

Where do we apply mathematical statistics?

Well, it has been seen that there are various fields where you can easily apply mathematical science. Some of those fields are:

  • sociology,
  • geology, 
  • psychology,
  • probability, 
  • weather forecasting, and much more.

Also Read

Now, let’s understand the key comparison of statistics vs math!!

It is quite important to know the difference between statistics and math to understand what is statistics in math. 

These are essential elements for any data scientist. But some view statistics as a math discipline, but in reality, both are completely different. 

Math is related to numbers that have detailed answers, whereas statistics make sense of numbers using “guesses.” 

Still confusing??

Let’s see the key differences between statistics and math.

StatisticsMath
Context plays a vital role from data input to the final result.Measurement and results do not depend on context.
Uncertain conclusions are drawn because of inductive reasoning.The correct answers can calculate by deductive reasoning.
Measurements of statistics are quite challenging, such as measuring disease progression, aptitude, and more.The calculations carried out of the particular attributes, such as weight or length.
The daily use terms of statistics are accuracy, confidence and significance, bias, and more.The daily use terms of math are multiple, divide, and factors, and more. 

Now, the two arise here related to statistics in math!!

1. Is statistics easier than Pure meth?

If we look for pure and logical thoughts, math considers being much easier than statistics. But in case you want to practice on data and focusing on the data using statistical tools, statistics look much easier than math.

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2. What kind of math is statistics?

This can be answered as to how you can apply statistics in math. Statistics considered as a part of applied mathematics that uses probability theory. 

The theory can use to simplify the collected sample data. It supports characteristics of probability where the data generalizations are TRUE. You can refer to it as statistical inference.

A Brain Booster:
What are the types of statistics?
There are two types of statistics. (A) Descriptive statistics – collecting the data and describing or summarizing it descriptively. (B) Inferential statistics – Use to explain the descriptive kinds.
What are the methods used for statistics in math?
The three different methods are used for statistics in math. These are data collection, statistical analysis, and data summarization.
How many types of data?
Data is of two types: qualitative data (refers to the descriptive data type) and quantitative data (refers to the numerical data type).

List of different statistical tools and concepts that you can use easily!!

statistics-tools
solution
Statistical tools used for data analysisStatistics tools used for data science
SPSS (IBM)RMicrosoft excelTableauMinitabApache HadoopSASRapid MinerPythonMatlab

How do I represent statistical data in math?

You can simply represent your data into different forms, such as:







Bar Graph





Pie Chart






Line Graph






Pictograph 





Histogram






Frequency distribution

Tips for how to study statistics!!!

  • Read every problem carefully.
  • Work out on extra problems.
  • Use pen and paper to note down important points.
  • First, focus on the concepts and then move to the relevant formulas.
  • Understand the relation between mean, median, mode, standard deviation, variance, range, and other concepts.
  • Take a short break to solve complex problems.
  • Make a habit of reviewing your notes regularly.
  • Manage your time to solve the different problems of statistics.
  • Listen carefully to the tutor’s instructions about statistics.
  • Begin with the detailed notes and then shorten them. Make a flashcard as it helps in revising the notes quickly.
  • When I doubt, ask your query and get the best solution from others.
  • Maintain your notes and organize them regularly.
  • If possible, study in a group.
  • Whenever a question hits your mind, note it down immediately so that you can not forget to ask.  

Conclusion

“What is statistics in math” is one of the most searched questions. That is why I came up with a complete guide on the topic. Hope it helped you to understand all concepts of statistics in math. 

Still, have any question, comment in the below section. If you want us for doing my math homework. Our statistics experts will provide you help with homework maths to clear your doubt effectively. 

“Statanalytica promises you to enhance your statistics concepts as we are a complete package of ‘stat = statistics” and ‘analytica = analysis,’ so keep reading our valuable blogs.”

Frequently Asked Questions

What careers use statistics?

Statistic is studied in different disciplines, and it offers a career path to:

Financial analyst.
Business analyst.
Database administrator.
Software engineer.
Data scientists.
Market researcher.
Cost estimator.
Statistician.
Economist.

What fields use statistics?

The statistics can use almost any field of technology, science, or business, such as:
Agriculture.
Astronomy.
Census.
Computer Science.
Animal Population.
Biology.
Chemistry.
Demography

What are the 2 fields of statistics?

The two fields of statistics are descriptive statistics and inferential statistics.