Final answer:
A pirate's favorite part of statistics might humorously be 'R' or 'ARRR,' in reference to the R programming language used in statistical analysis. Descriptive statistics uses graphical summaries like histograms to visualize data, while probability distributions describe how data is likely distributed across different outcomes.
Step-by-step explanation:
A pirate's favorite part of statistics is likely to be a play on words rather than a specific statistical concept. In popular humor, pirates are often associated with saying 'Arrr,' which sounds like the letter 'R.' This could lead to a joke that a pirate's favorite part of statistics is 'R' or 'ARRR,' which may be a humorous way to refer to the R programming language, a language and environment for statistical computing and graphics.
Descriptive statistics is the branch of statistics focused on summarizing data, where we use graphs such as histograms and boxplots to visualize data distribution. Probability distributions help in understanding how a set of data is distributed over the range of possible outcomes. For example, when looking at the probability that at least 40 out of 50 students will do their homework on time, the binomial distribution could be used because each student acts independently, and there are only two outcomes (homework done or not done).
The term statistic refers to a numerical summary of data from a sample, whereas parameter refers to a numerical summary of a full population. When conducting a study to determine the mean amount of extracurricular activities in which students participate, the sample consists of 100 high school students, and the statistic is the average number of activities based on the surveyed sample.