Answer the following question?

Q2: Gerald obtains the age of retirement from a sample of retirees and creates the boxplot below to visualize the distribution of scores. 80 70 60 50 Age of retirement 40 30 20 10 0 a) What is the interquartile range for this distribution?' b) Gertrude reported retiring at age 65-what would her percentile rank be in this distribution? How do you know? c) Are there any outliers? Using statistical terms, what does this outlier represent in this plot? In plain language, what does this outlier represent in terms of the variable? d) Is the distribution skewed? If so, is it positively or negatively skewed? How do you know? Q3: Roger is a professional tennis player and has won 9 matches this year. Inspired by her older brother, Rachel joins the tennis club at her high school and wins 23 games in her school league You gather data and find that the distribution of wins in the professional tennis league is normally distributed with a p =6 and o = 2. The distribution of wins in the school tennis club is normally distributed with a p = 12 and o =5. Who is the better tennis player? Show any calculations. Q4: David is quiet, reserved, and enjoys spending time at home alone. He takes an online quiz that guesses how introverted you are based on the colour of your sheets, your favourite Netflix show, and the first letter of the street you grew up on. Every time he takes the quiz, it tells him that he is very introverted. Given this information, would it be a good idea to use this quiz as a measure of introversion in a research study? Explain why or why not using concepts that we covered in this course-make sure to discuss reliability and validity in your response.01: Your younger sister is doing a school project on fruit. She surveys students in her school for their favourite fruit and creates the plot below to visualize her data. She asks you if there are any ways that she can improve her plot. List the ways this plot can be improved and provide an explanation for each. 60 Frequency Apples Bananas Grapes Oranges Pineapples Strawberries Other