The box plots display the same data for the number of crackers in each snack bag, but one includes the outlier in the data and the other excludes it. 4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21 Number of Crackers in Each Bag, with Outlier Number of Crackers in Each Bag, without Outlier Which statement comparing the box plots is true? Both the median and the range changed. Both the range and the lower quartile changed. Both the median and the interquartile range changed. Both the interquartile range and the lower quartile changed.

Answer:Both the median and the range changed.Step-by-step explanation:We first ensure this data set is from least to greatest.  This one is.Next we find the median.  This is the middle value; in this set, it is 16.Next we find Q1, the lower quartile.  This is the middle of the lower set of data (once the data is "split" by the median).  This is 15.Next we find Q3, the upper quartile.  This is the middle of the upper set of data (once the data is "split" by the median).  This is 20.The IQR is Q3-Q1, or 20-15 = 5.The range is the max subtracted by the min, or 21-4 = 17.Any outlier will be 1.5 times the IQR below Q1 or 1.5 times the IQR above Q3.1.5(5) = 7.5; 15-7.5 = 7.5.  Any lower outlier would be below this value; this makes 4 an outlier.20+7.5 = 27.5.  Any upper outlier would be above this value; this means there are no outliers on the upper end.Taking the data value 4 out, the median is now 17.  Q1 would still be 15 and Q3 would still be 20; this means the IQR would still be 5.The range would now be 21-14 = 7.This means the median and the range have changed.