Criteria Cognitive Aptitude (CCAT) Practice Test

To find the missing number in the group of four numbers with an average of 14, we start by recalling that the average of a set of numbers is calculated by dividing the sum of the numbers by the quantity of numbers in the set. First, since we know the average is 14 and there are four numbers, we can calculate the total sum of those four numbers. Specifically, we multiply the average by the total number of values: Total sum = Average × Number of values = 14 × 4 = 56. Next, we need to calculate the sum of the three known numbers: 11, 12, and 17. Total of known numbers = 11 + 12 + 17 = 40. Now, we can determine the missing number by subtracting the sum of the known numbers from the total sum: Missing number = Total sum - Sum of known numbers = 56 - 40 = 16. Thus, the missing number is 16. This aligns with the option that states 16 is the correct answer.