## Theory Questions

**What is the difference between statistics and machine learning?**

**What is the mean and how is it calculated in Python?**

**What is the purpose of the standard deviation?**

**How can you generate random numbers from a normal distribution in Python?**

**Explain the concept of correlation coefficient.**

**What is a covariance matrix in statistics?**

** How do you calculate the determinant of a matrix in Python?**

**What is eigenvalue and eigenvector decomposition?**

**Explain the concept of Singular Value Decomposition (SVD).**

**What is the purpose of the Principal Component Analysis (PCA) algorithm?**

## Statistics and Linear Algebra PPT

## Programming Questions

** How can you calculate the mean of a list of numbers using Python?**

**Calculate the standard deviation of a list of numbers using Python.**

**Generate 10 random numbers from a normal distribution with mean 0 and standard deviation 1.**

**Calculate the correlation coefficient between two lists of numbers using Python.**

**Calculate the covariance matrix between two lists of numbers using Python**

**Create a 3×3 identity matrix using numpy.**

**Perform matrix multiplication of two matrices using numpy.**

**Calculate the determinant of a matrix using numpy.**

**Find the eigenvalues and eigenvectors of a matrix using numpy.**

**Calculate the inverse of a matrix using numpy.**

## Output Questions

**Calculate the mean of the given data: [18, 22, 16, 20, 24].**

**Find the median of the dataset: [12, 15, 18, 21, 24].**

**Calculate the standard deviation of the dataset: [8, 12, 15, 20, 25].**

**Generate a random sample of 5 numbers from a normal distribution with mean 10 and standard deviation 2.**

**Calculate the correlation coefficient between two lists: [1, 2, 3, 4, 5] and [5, 4, 3, 2, 1].**

**Multiply the matrices A and B:**

**A = [[2, 3], [1, 4]]****B = [[5, 1], [2, 3]]**

**Calculate the determinant of the matrix:**

**Matrix = [[3, -1], [4, 2]]**

**Find the eigenvalues of the matrix:**

**Matrix = [[6, 2], [3, 5]]**

**Solve the system of linear equations:**

**2x + 3y = 8****4x + 2y = 10**

**Calculate the inverse of the matrix**

**Matrix = [[4, 7], [2, 6]]**