A data set has a median of 41, and four of the numbers in the data set are less than median. The data set contains a total of n numbers. If n is odd, and exactly one number in the data set is equal to 41, what is the value of n?
A)9
B)13
C)12
D)11

Question

Quizplus · Accepted Answer

The median is the middle value of a data set when assorted in numerical order. Since four numbers in the data set are less than the median of 41, and there is exactly one number equal to 41, there must be five numbers greater than 41. Since n is odd, there must be an odd number of numbers greater than 41. The only odd number greater than 5 is 7. Therefore, n = 4 + 1 + 7 = 12.

A Data Set Has a Median of 41, and Four