The average of a set of 20 consecutive integers is 21.5. What is the smallest integer in the set?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 12.
Average of 20 consecutive integers = 21.5
For consecutive numbers, average = middle value
Since count is even (20), average = average of middle two numbers
Middle two numbers = 21 and 22
So, smallest =10 numbers before 21
21 – 10 + 1 = 12