Part 1: Questions 1: Define what are the four principles of Statistics when collecting data values? Question 2: What is the main difference between Statistics and Statistic? Please explain! Question 3: What are the main differences between sample and population? Explain with an example to support your answers! Question 4: At what size is a sample representative of a population and why? Please explain in detail! Question 5:What is the main purpose of Inferential Statistics? Support your answers with an example! Part 2: Question 1: What are the main categories into which we can classify data values in Statistics? Question 2: What is the main difference between qualitative and quantitative data. Please support your answer with an example! Question 3: What are the main measures of Central Tendency in Statistics. Please explain each in detail! Question 4: Describe a continuous variable and a discrete variable by using an example to support your answers. Question 5: What are the main applications of a: Histogram, an Ogive, and Stem and Leaf. Please explain in detail! Part 3: Question 1: Please defined what are the measures of Central Tendency? Question 2: Explain what are the differences among Mean, Median and Mode? Use a numerical example to support your answers. Question 3: What is the Empirical Rule and when we use it? Question 4: What is the Chebyshev's Theorem and when we use it? Also, explain the meaning of skewness in a distribution? Question 5: How many quartiles we have in a Normal Distribution? How many deciles we have? How many percentiles we have? Briefly explain what is the Interquartile Range and support your answers with a numerical example! Part 4: Question 1: What is the main objective of the Theory of Probability in Statistics? Question 2: Please define a Sample Space Question 3: Define the range of probabilities of any events in our daily life. Question 4: Define the Addition Rule and the Multiplication Rule and support your answers with valid numerical examples. Question 5: Define Mutually Exclusive Events versus Independent Events. Support your answers with valid examples! Part 5: Question 1: What are the differences between Discrete and Continuous Random Variables? Question 2: What is a Binomial Disbribution? Question 3: What is a Poisson Distribution? Question 4: How can we identify a Poisson Distribution? Question 5: Please explain degrees of freedom with some valid examples! Part 6: Question 1: Please define a Z-Score? Question 2: What are the main differences between a Z-Socre and an X-Probability? What are their correlations? Question 3: In a Bell-Shaped Distribution what is the main purpose of a Z-Score? Please provide an example to support your answers. Question 4: Please explain degrees of freedom? Question 5: Please provide an example of a probability equal to one, and a probability equal to zero. Why a probability can't be negartive? Explain in detail to support your answers.