Mathematics is a way of uncovering possible insights or information from data as done in the field of Data Science. So data science is a vast and a type of mixed field of statistical analysis, computer science, and domain expertise. But it is still the underlying mathematics used in data science that provides essential techniques and tools for working with, and learning from, data. In this article we will cover Math needed for Data Science So, let’s start.
Statistics provide the first datagnosis for the data science Datagnosis that is a sophisticated tool and technique of Data Analysis, Data Collection, And Data Interpretation.
Let us now explore types of statistics.
This includes few parameters to consider. Let us explore them:
Example:
Consider this the dataset: [2,3,4,4,5,5,7,9]
Mean= (2+3+4+4+5+5+7+9)/8 = 4.875
Median = 4.5 (4+5)/2
Mode= 4
Inferential statistics provides conclusions that extend beyond the data collected in the study. The key idea here is this:
Example:
Using a t-test to check if the mean of a sample is significantly different from a known population mean
Probability is a fundamental concept in data science, involving uncertainty and randomness. It is crucial for understanding events and outcomes in datasets. The Central Limit Theorem explains this. Probability distributions like binomial, Poisson, and normal are essential for modeling real-world phenomena and making statistical inferences.
The main general purpose theorem behind this is Central Limit Theorem (CLT) which states that the distribution of sum of large number of independent, identically distributed random variables approaches normal distribution with mean of distribution equal to summation of mean of random variables and variance equals to summation of variances of random variables.
The person should be also familiar with the other distributions because Binomial, Poisson, Normal Distribution.
Apart from these points, it is also useful for the data scientists to know about linear algebra that enables him to understand the data structure and algorithms underpinning machine learning.
Differential Calculus, Integral Calculus, Maxima, Minima, the Mean value theorem, the Product rule, the chain rule, Taylor’s series, derivatives, the gradients of matrices, Backpropagation, The Gradient Descent algorithm, higher-order derivatives, the Multivariate Taylor series, the Fourier transformations, area under the curve in Calculus.
You need to know how to handle the angles, measurements, and proportions of regular objects and also be familiar with multiple types of plots.
Thus with this article, we can have an idea on what Mathematics is required to master data science. These were the few basic concepts of mathematics which is the backbone of data science one should have a really good understanding of these topics in order to learn data science.
A. Statistics provides tools for data analysis, including measures like mean, median, mode, variance, and standard deviation to understand and interpret data.
A. Descriptive statistics (mean, median, mode, variance, standard deviation) and inferential statistics (hypothesis testing, confidence intervals, regression analysis) are commonly used.
A. Probability helps quantify uncertainty and randomness in data, essential for making predictions and decisions based on data analysis.