Introduction to Statistics

Introduction 

 
Data is an essential part of our day to day lives. We generate millions of data according to our daily needs. This data generated is highly useful to draw conclusions and make analysis out of it.
 
data
 
But the question that arises in our mind is, "how"? To answer this, we use statistics.
 
Statistics is a branch of mathematics that deals with the process of collecting data and organizing it in a systematic manner, analyzing it, interpreting the insights and presenting it in a meaningful manner. It is the complete process of data collection to present the final outcome out of data. But the question still remains the same...
 
Before getting into the details, we will first deal with the question 'What is statistics?', its type, and classification.
 

What is Statistics ?

 
As defined above, statistics is none other than a systematic study of data to make it into useful data which can be used to draw results and conclusion for further data analysis. Statistics is a very essential tool for data analysis.
 
The data we collect is classified into two categories,
  1. Based on measurement (discrete, continuous) 
  2. Based on observation (quantitative, qualitative)

    statistics
A quantitative variable is one that can be measured with the help of a standard scale, while a qualitative variable is one that cannot be measured with a standardized scale.
 
The variable which occurs by chance without any prediction is called a random variable. The variable which can only take fixed value is called a discrete variable.
 
A population can be defined as a group of values or variables. A part of a statistical population is called a sample. When we talk about the level of measurements, there are four levels of measurements, Scale 1 (Nominal scale), Scale 2 (Ordinal scale), Scale 3 (Internal), Scale 4 (Ratio).
 
terminology
Data comes in many formats to us, which can be classified as time-series data and cross-sectional data
 

Time Series Data

 
This is a type of data consisting of observation of a single subject at different or multiple intervals of time. It primarily focuses on the same variable over a period of time. It is used to examine change within an individual over different times. It is majorly used to provide development analysis.
 

Cross-Sectional Data

 
It is a type of data consisting of observation of many subjects at a similar point in time. It primarily focuses on several variables at the same point in time. It examines the change between participants of different ages at the same time. It is used to provide information on age-related changes.
 
We have briefly discussed data. Now let's talk about the classification of statistics.
 
Statistics are briefly classified into two major categories, descriptive and inferential:
  1. Descriptive Statistics
It is a type of statistics that is concerned with description of the target population. It is used to organize, analyze and present data in a meaningful manner. The final results generated are shown in the form of charts, tables, and graphs. It is also used to describe the data that is already known to us. The tools used in descriptive statistics are measures of central tendency (mean, median, mode).

data analysis
  1. Inferential Statistics

This is the type of statistics that make inferences as suggested by the name from the sample and generalize them to the population. It is used to compare, test and predict future outcomes. The final result obtained is in the form of a probability score. It tries to make a calculation about the population that is beyond the data available to us. The tools used in inferential statistics are hypothesis tests, analysis of variance, etc.