<image>Jingzhou Ancient City is a well-known historical and cultural city. The following table shows the sample statistics of the number of visitors to a historical site in Jingzhou Ancient City over a week, and Figure 20-3-5 shows the ticket price statistics. \(\frac{ }{\ }\)

(1) Take the number of visitors in the table over a week as a sample and directly indicate the median, mode, and mean of this sample. An analysis of the data in the table can yield some information, such as the number of visitors on weekends being far higher than on weekdays. Try to write two more pieces of related information.

(2) If during the "May Day" Golden Week, there are two tour groups, A and B, visiting the site, and the total number of visitors in the two groups is exactly the median of the sample data mentioned above. The number of people in Group B does not exceed 50. Let the total ticket payment by the two groups be W yuan, and the number of people in Group A be x.

① Find the function relationship between W and x.
② If the number of people in Group A does not exceed 100, explain how much the two groups can save in total by purchasing tickets together compared to purchasing tickets separately.
