2.42 Dining out A recent survey asked students, “On average, how many times in a week do you go to a restaurant for dinner?” Of the 570 respondents, 84 said they do not go out for dinner, 290 said once, 100 said twice, 46 said thrice, 30 said 4 times, 13 said 5 times, 5 said 6 times, and 2 said 7 times.

a. Display the data in a table. Explain why the median is 1.

b. Show that the mean is 1.5.

c. Suppose the 84 students who said that they did not go out for dinner had answered 7 times instead. Show that the median would still be 1. (The mean would increase to 2.54. The mean uses the numerical values of the observations, not just their ordering.)