The median is the middle number in a set of data, or the arithmetic mean of two middle numbers if there is even number of elements in the set.
Sort the numbers from least to greatest: 5, 7, 11, 13, 14 The median is 11.
A. If you add {2, 19}: 2, 5, 7, <span>11</span>, 13, 14, 19 The median is 11.
B. If you add {6, 12, 16}: 5, 6, 7, 11, 12, 13, 14, 16 The median is the mean of 11 and 12. (11+12)/2=23/2=11.5 The median is 11.5.
C. If you add {6, 11, 15}: 5, 6, 7, 11, 11, 13, 14, 15 The median is the mean of 11 and 11. (11+11)/2=22/2=11 The median is 11.
D. If you add {3, 4, 14}: 3, 4, 5, 7, 11, 13, 14, 14 The median is the mean of 7 and 11. (7+11)/2=18/2=9 The median is 9.
In A and C the median of the new data is the same as the original median, in D it's less than the original median, only in B it's greater. You can add {6, 12, 16} to the data to increase the median. The answer is B.
