# Theory Question of Statistics for AI-DS – Semester 5 MU

Theory Question of Statistics for AI-DS – Semester 5 MU

- What is sampling in statistics? Explain different sampling methods
- What is the Binomial Probability Formula?
- What are correlation and covariance in statistics?
- What is Poisson distribution?
- Illustrate central limit theorem with a neat diagram.
- Explain pdf and cdf in detail.
- Explain normal distribution in detail.
- Discuss random variables with an example in detail.
- Explain quantile
- Define median
- What is mode
- Explain Quartile
- What are different data types?
- Define mean, weighted mean, median, weighted median, percentile, trimmed mean
- What do you mean by std. Deviation, mean absolute deviation and median absolute deviation
- Explain IQR(Inter quartile range)
- Draw boxplot, frequency table and histogram for given data
- Write a short note on skewness and kurtosis
- What do you understand from correlation coefficient value?
- Give example of any contingency table and explain
- What is hexagonal binning?
- What is contour plot?
- Describe violin plot.
- Write a short note on bootstrap sampling
- Write the properties of normal distribution
- What is the use of QQ Plot
- What is the use of scatter plot?
- Explain the student’s t distribution properties
**What is the confidence interval?****What is bootstrapping?****What is sample bias?**- Define Degree of freedom?
- Compare Long Tail Distribution and Student t distribution?
- Define A/B Testing?
- Define Null and alternate Hypothesis?
- How is one way and two way hypothesis test different ?
- What are proxy variables
- Define p value, Significance level,Type 1 Error, Type 2 error

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