Why Is Statistics Not Math? 

In our modern world, mathematics and statistics are not mutually exclusive. In fact, they often overlap. While math deals with calculating complex numbers, statistics is concerned with inferring properties of an underlying population. Statistics is also a powerful tool to model unknown confounding factors. A statistical hypothesis may not be perfect, but it is certainly more robust than a hypothesis that ignores or is too naive about the environment. 

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Mathematics is a great tool to model the world, but it is not a complete picture. To understand the world, it is important to know what is going on. Mathematical theories and models are only as good as their assumptions. These assumptions must be refined in order to yield educated guesses. 

The best way to achieve this goal is to make a mathematical hypothesis and test it against real world data. This is how statistics became a scientific discipline. It was during the late seventeenth century that governments began collecting data on citizens, and it is from that era that modern statistics was developed. 

Statistics is the study of probability. In particular, it relates to estimating the likelihood of future events. Whether a given event will happen depends on many variables, and probability is a useful tool for making decisions under uncertain conditions. For instance, a statistician will use confidence intervals to assess the probability that an event will occur. However, these tools are not always accurate, especially when dealing with outliers. 

In addition to probability, statistics is also concerned with the design of research. Unlike other fields of study, which focus on the design of experiments, statisticians are required to devise methods to analyze data and to interpret and communicate the results. Various methods can be used to perform these tasks. 

Using the correct statistical method, it is possible to estimate the occurrence of a specific event and compare the results with other similar data sets. But, figuring out the most important and appropriate way to do this is not as straightforward as one might think. Since the results are dependent on a number of criteria, there is no single best answer. 

There is also no definitive proof that statistics is a branch of mathematics. There are a lot of people who believe that statistics and math are one and the same. Many university departments lump the two together, but this is simply not the case. Despite the plethora of academics who make this claim, statistics is a distinct field of study, albeit with its own specialized tools and methods. 

What’s more, a mathematical proof may be the only way to prove the efficacy of a particular statistical method. Proofs of significance are based on rigorous definitions and arguments. Therefore, any statistical method should be scrutinized carefully. 

While mathematicians might argue that statistics is a complicated matter, the truth is that statistics is more complicated than it sounds. Generally, it is an art, and a purely numerical approach to it is not the best way to go.