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The average of 12 consecutive odd numbers is 32. What is the difference between the largest number and the smallest number
that are part of the set of 12 consecutive odd numbers mentioned above?
22
25
21
18
- We have 12 consecutive odd numbers, and their average is 32.
- The average of evenly spaced numbers is equivalent to the middle number in the sequence.
- Hence, 32 is the middle number in these 12 numbers.
- The sequence of numbers could be represented as n−11,n−9,...,n+9,n+11.
- The smallest number is n−11, and the largest number is n+11.
- The difference is (n+11)−(n−11)=22.
?? Correct Answer: Option 1 - 22.
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