Question : The average of the first 7 integers in a series of 13 consecutive odd integers is 37. What is the average of the entire series?
Option 1: 37
Option 2: 39
Option 3: 41
Option 4: 43
Correct Answer: 43
Solution :
Given: The average of the first 7 integers in a series of 13 consecutive odd integers is 37.
The average of the first 7 integers is 37.
So, the $(\frac{7+1}{2})$ = 4
th
term is 37.
Thus, the series of integers = 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55
Now, the average of the entire series = $(\frac{31+55}{2})$ = 7
th
term of the series = 43
Hence, the correct answer is 43
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