The dot plot below shows the 15 values in data set A, where 30 occurs 5 times, 31 occurs 4 times, 32 occurs 3 times, 33 occurs 2 times, and 34 occurs once. Data set B is created by subtracting 15 from each of the values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?
The median of data set B is equal to the median of data set A, and the range of data set B is equal to the range of data set A.
The median of data set B is less than the median of data set A, and the range of data set B is greater than the range of data set A.
The median of data set B is less than the median of data set A, and the range of data set B is equal to the range of data set A.
The median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A.
