Lindsey found the median and mean of the list of numbers below. 4, 6, 8, 8, 15 Which statement is true if Lindsey includes the number 23 in the list? A. The median would decrease. B. The median would increase. C. The mean would increase. D. The mean would decrease.
The median is the middle value of a set of numbers when they are arranged in ascending order. The median of the current list, 4, 6, 8, 8, 15, is 8.
The mean is the sum of all the numbers in the list divided by the total number of numbers. The mean of the current list is (4+6+8+8+15)/5 = 8.2.
If Lindsey includes the number 23 in the list, the new list becomes 4, 6, 8, 8, 15, 23.
The median of this new list is still 8, since the new number 23 falls in the middle, while the other numbers remain the same.
The mean of the new list becomes (4+6+8+8+15+23)/6 = 9.
Therefore, the statement "The mean would increase" is true.
The correct answer is C. The mean would increase.