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# Statistics Interview Questions and Answers

### Ques 1. What is the difference between population and sample?

Population refers to the entire group under study, while a sample is a subset of the population.

Example:

`Population: All students in a university. Sample: 100 students randomly selected from the university.`

### Ques 2. Explain the central limit theorem.

The central limit theorem states that the distribution of the sum or average of a large number of independent, identically distributed random variables approaches a normal distribution, regardless of the original distribution.

Example:

`If you roll a fair six-sided die many times and calculate the average, the distribution of those averages will be approximately normal.`

### Ques 3. What is p-value in statistics?

The p-value is the probability of obtaining results as extreme as or more extreme than the observed results under the assumption that the null hypothesis is true.

Example:

`If p-value is 0.05, there is a 5% chance of observing the results if the null hypothesis is true.`

### Ques 4. Define standard deviation.

Standard deviation is a measure of the amount of variation or dispersion in a set of values. It represents the average distance of each data point from the mean.

Example:

`For a set of test scores: 70, 72, 75, 78, 80. Standard deviation is approximately 3.16.`

### Ques 5. What is regression analysis?

Regression analysis is a statistical technique used to model the relationship between a dependent variable and one or more independent variables by fitting a linear or nonlinear equation to the observed data.

Example:

`Predicting house prices based on factors like square footage, number of bedrooms, and location.`