Statistics in Math- Important to Know For You

Statistics in Math- Important to Know For You

Most people think that statistics and mathematics are the same terms. But it is not true. Both are different in all aspects, although we use them for each other and are interrelated. We use mathematical concepts to solve statistics problems.

If you are one of those people and want to know about statistics in math, you are at the right place. In this article, we will tell you about how we use statistics in math.

Statistics is the study of collection, analysis, interpretation, presentation, and organization of data properly. We can also consider it a mathematical discipline where we carried out the collection and summarization of data and information.

In statistics, we represent facts and information in a numerical format that is easy to understand for viewers.

Overview

Statistics and mathematics both contribute to the advance development in our day to day life and are very important in our daily life. We use statistics for our domestic activities and office practices.

If we take the case of weather forecasting, nowadays we already get to know what the weather will be for today and in future, and we can make our plans according to weather. All this is true just because of statistics, but mathematics also plays a role in it to perform different measurements.

What is statistics in math?

Statistics in maths implies when we apply statistics to mathematics. We use statistics in different mathematical areas such as linear algebra, mathematical analysis, differential equation, measure-theoretic probability theory, stochastic analysis, etc.

Statistics play different roles in various sectors such as psychology, sociology, probability, weather forecasting, geology, and others.

Example: We use statistics to represent the property of samples. Suppose you consider a mathematics class as the population sample of total mathematics classes.

The mean, median, mode of marks scored by the students at the end of the term is all about statistics in math.

Formulas and Representation methods for statistics in math

In order to perform mathematical calculations, we use different statistical formulas such as sample mean, the population mean, sample standard deviation, population standard deviation, sample variance, population variance, range, etc.

In statistics, we use different methods to represent data and information. Some of them are bar graphs, pie charts, histograms, tables, line graphs, pictographs, frequency distribution, etc.

Bar Graphs- Here we can use vertical and horizontal bars that are rectangular in shape to represent grouped data. It helps us to compare the data in a simpler form so that we can conclude with data comparison.

Pie Charts- Pie charts represent data into percentages with the help of a circle that is divided into sectors. Here each sector indicates a proportion of the whole. Pie charts do not reflect changes over time and are suitable for less or average data.

Line Graph- When a straight line joins the sequence of data points, it represents a line chart. Markers indicate the series of data points.

Pictograph- It shows data with the help of pictures such as apples, bananas, flowers, etc. These pictures are used to differentiate the data.

Histogram- A histogram is made of rectangles, and its area is proportional to the variable’s frequency. The width of the variable is equal to the class interval.

Frequency Distribution- The letter “f” is used to indicate the frequency of a data value. Arranged collected data values in increasing order of magnitude with their associated frequencies make a frequency table.

Difference between Statistics and Mathematics

If you want to understand statistics in math, it is essential to differentiate them from different aspects.

  1. Where math is related to numbers, statistics make sense of numbers by using guesses or predictions.
  2. In mathematics, we use terms such as division, factors, multiply, etc.; however, in statistics, we use words like accuracy, significance, confidence, bias, etc.
  3. In mathematics, context does not play any role in measurement and results, but context is significant from input to the conclusion in statistics calculations.
  4. Mathematics calculation gives us fixed, precise results, while in statistics, we draw uncertain conclusions by inductive reasoning.
  5. Calculations of mathematics are comparatively easy to the statistics calculations.

Applications of statistics in math

Statistics have numerous applications in our daily life as well as in different fields of mathematics. Few statistics applications are given below.

  • Statistics in Society
  • Statistics in Computing
  • Mathematical statistics, theoretical statistics
  • Statistics in machine learning and data mining

Furthermore, in mathematics, statistics is applied to evaluate the central tendencies of grouped and ungrouped data. There are three measures of central tendency-

  1. Mean
  2. Median
  3. Mode

These measures are used to determine the central value of the data set.

Conclusion

In this blog we have discussed the statistics in math as mostly people search for it for different purposes. Statistics and mathematics are, although interrelated, different from each other. Both are used for different objectives.

It is true that we use some mathematical formulas and concepts to perform the statistics measurements. I hope now you are clear about how statistics play a role in mathematics and found this article helpful.