A data set has a median of 76 , and eighteen of the numbers in the data set are less than median. The data set contains a total of $n$ numbers.

If $n$ is even, and none of the numbers in the data set is equal to 76 , what is the value of
A) 34
B) 36
C) 40
D) 37

Question

A data set has a median of 76 , and eighteen of the numbers in the data set are less than median. The data set contains a total of $n$ numbers.

If $n$ is even, and none of the numbers in the data set is equal to 76 , what is the value of
A) 34
B) 36
C) 40
D) 37

Quizplus · Accepted Answer

Since the median is 76 and there are 18 numbers less than 76, for an even number of total numbers in the data set, there must also be 18 numbers greater than 76. Thus, the total number of numbers in the data set is 18 (less than 76) + 18 (greater than 76) = 36.

A Data Set Has a Median of 76 , and Eighteen