A data set has a median of 84 , and six 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 84 , what is the value of
A) 15
B) 16
C) 13
D) 17

Question

Quizplus · Accepted Answer

For an odd number of data points, the median is the middle value when the data is arranged in order. Given that six numbers are less than the median (84) and exactly one number is equal to 84, there must also be six numbers greater than 84 to maintain symmetry around the median in an ordered list. Therefore, the total number of numbers in the data set is 6 (below 84) + 1 (equal to 84) + 6 (above 84) = 13.

A Data Set Has a Median of 84 , and Six