1. Why sampling is important? 2. How do you ensure good survey design? 3. Does correlation lead to causation, please discuss with the help of an example? 4. Can one solely rely on Mode when looking at a data set? 5. Consider the following dataset representing the ages of eight students in a class: {15, 14, 16, 17, 19, 18, 16, 20}. Find the median age of the students. 6. The heights (in centimeters) of a group of friends are as follows: {130, 145, 165, 170, 168}. Calculate the median height of the group. 7. A box contains 12 blue pens and 7 black pens. If you randomly draw two pens without replacement, what is the probability of getting a blue pen? 8. A fair six-sided die is rolled twice. What is the probability of rolling a 3 on the first roll and a 2 on the second roll, assuming the die is rolled independently each time and the result is recorded after each roll? 9. Consider the following dataset representing the scores of 7 students in a math test: {88, 70, 90, 90, 88, 79, 87}. Calculate the mean score of the students. What happens if the score of each student is increased by 2 points. What happens if the score of the student with the lowest score is increased by 5 points? 10. Define positive correlation and negative correlation with an example?