The average of 11 consecutive odd numbers is 37. What is the difference between the largest number and the smallest number?

Correct option is C

Given:

• Average of 11 consecutive odd numbers = 37
• We are to find the difference between the largest and smallest numbers.

Solution:

In any list of consecutive odd numbers, the average is the middle term.

So, for 11 odd numbers:

• Average = middle term = 6th term = 37
• There are 5 numbers before and 5 numbers after the 6th term.

So:

• Smallest term = 37 − (2 × 5) = 37 − 10 = 27
• Largest term = 37 + (2 × 5) = 37 + 10 = 47

Difference = 47−27 = 20

Final Answer: (C) 20