Esmé runs a day-tour business in Amsterdam. She wants to offer a “family package” that includes the charges for two adults and their children. To investigate the number of children she should include in the package, she asks 30 randomly selected customers with children how many children they have. Their responses are: 2,2,2,3,4,1,1,2,1,1,1,2,2,3,4,1,4,4,2,3,1,1,1,2,1,1,2,2,3,2.
(1) Calculate the mean, median, and modal number of children per family.
(2) Is the mode a useful statistic in this case?
(3) Suggest how many children Esmé should include in the package, giving reasons for your answer.