What is the mode of the set if the average of the set {15, 30, 60, k, 20, 40} is equal to 37.5?
A. 20
B. 25
C. 35
D. 40
E. 60
Answer
The first step is to determine the value of k. We determine the value by taking the sum of the set elements, dividing by 6 and setting them equal to 37.5.
(165 + k)/6 = 37.5.
165 + k = 225.
k = 60.
Since 60 is the most frequently appearing number in the set, 60 must be mode
Correct Answer - Choice E