Statistics refers to the study of collecting, analyzing, interpreting, presenting, and organizing data in a particular manner. To sum it up, you may refer to it as a mathematical discipline where the collection and summarization of data are carried out. Thus, you see they are classified facts that represent the state of affairs of a state, its citizens, and more. Basically, we can state these facts in numbers of tabular forms. As a famous statistician defines it as a statement of facts in numerical form, which, we can apply to any department of inquiry with relation to one another.
Mathematical statistics refers to when we apply math to statistics. We initially conceived it as the science of the state which is assortment and evaluation of fact regarding a country, economy, population, and more.
The mathematical technique which we use for this consist of linear algebra, differential equation, mathematical analysis, measure-theoretic probability theory, and stochastic analysis.
It has many uses in various sectors like psychology, sociology, probability, geology, weather forecasting and more. The main objective here is to obtain understanding from data so we regard it distinctively as Mathematical science.
Types of Statistics
There are two kinds which are descriptive statistics and inferential statistics. We describe the data or collection data in a summarized way in descriptive statistics. However, in inferential statistics, we make use of it in order to explain descriptive kind. We use both of them on a large scale. In fact, there is another kind of stats where descriptive transitions into inferential statistics.
In these methods, there are many steps where we collect, summarize, analyze, and interpret variable numerical data. Data refer to a collection of facts, like numbers, words, measurements, observations, and many more.
Some of the methods are:
- Data collection
- Data summarization
- Statistical analysis
There are two types of data which are qualitative data and quantitative data. Qualitative data refers to descriptive data whereas quantitative data refers to numerical information. There are two kinds of quantitative data which are discrete data and continuous data. Discrete data refers to one where there is a specific fixed value which we can count. On the other hand, continuous data is where the data isn’t fixed and comprises of a range of data which we can measure.
Representation of Data
We make use of many things in order to represent data. We have bar graphs, pie charts, line graphs, pictographs, histograms, and frequency distribution. Thus, bar graphs are used to represent grouped data by making use of rectangular bars. Then, pie charts are circles which divide into sectors.
Similarly, line graphs use data points that we call markers. Pictographs make use of pictorial symbols for words or phrases. Further, histograms comprise of rectangles to represent data. Finally, we have frequency distribution where we use a frequency table to arrange the data we collect.
Solved Questions for You
Question 1: What is statistics?
Answer: Statistics refers to a branch dealing in the study of collecting, analyzing, interpreting, organizing, and presenting data. In math, it refers to a set of equations that we use to analyze things.
Question 2: How do we apply statistics in Math?
Answer: Statistics is a part of Applied Mathematics that makes use of probability theory to simplify the sample data we collect. It assists in characterizing the probability where the generalizations of data are true. We refer to this as statistical inference.