The average of eight numbers is 14. The average of six of these numbers is 16. The average of the remaining two numbers is: Options : 4 8 16 Data Inadequate
Question
The average of eight numbers is 14. The average of six of these numbers is 16. The average of the remaining two numbers is:
Options : 4 8 16 Data Inadequate
Solution
The total sum of the eight numbers is 8 * 14 = 112 (since average = sum of items / number of items)
The total sum of the six numbers is 6 * 16 = 96
Subtract the sum of the six numbers from the total sum of the eight numbers to find the sum of the remaining two numbers: 112 - 96 = 16
The average of the remaining two numbers is their sum divided by the number of numbers, which is 2. So, 16 / 2 = 8
So, the average of the remaining two numbers is 8.
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