Problem 5 The box plot represents the distribution of the number of children in 30 different families. Box plot from 0 to 12 times 1. Number of children. Mustache from 0 to 1. Box from 1 to 3 with vertical line at 2. Mustache from 3 to 12. After further examination, the value of 12 is removed as it was recorded in error. The box plot represents the distribution of the same data set, but with the maximum, 12, removed. Box plot from 0 to 12 times 1. Number of children. Mustache from 0 to 1. Box from 1 to 3 with vertical line at 2. Mustache from 3 to 6. The median is 2 children for both plots. Explain why the median remains the same when 12 is removed from the data set. When 12 is removed from the data set, does the mean remain the same? Explain your reasoning.