The box plot represents the distribution of the number of children in 30 different families. 0 2 4 6 8 10 12 Number of Children After further examination, the value of 12 is removed for having been recorded in error. The box plot represents the distribution of the same data set, but with the maximum, 12, removed. 0 2 4 6 8 10 12 Number of Children The median is 2 children for both plots. (Lesson 1-10) a. Explain why the median remains the same when 12 was removed from the data set. b. When 12 is removed from the data set, does mean remain the same? Explain your reasoning.