The average of 15 numbers is 15. If the average of first five numbers is 14 and that of other 9 numbers is 16, then find the middle number.
Answers:
A) 12  B) 11  C) 10  D) 9  E) 8
Given: Average of 15 numbers = 15, Average of 5 numbers = 14, Average of 9 numbers = 16   Average =	Total Numbers/No. of Numbers   15 =	Total Numbers/15   Therefore, total numbers = 15 x 15 = 225   Middle number = (Total numbers) – [(Average of 5 num x no of num) + ( Average of 9 num x no of num)]   = (225) – [(14 x 5) + (16 x 9)]   = (225) – [214]   = 11   Therefore, the middle number is 11   ANSWER IS 11
<result>B</result>
The average of 15 numbers is 15. If the average of first five numbers is 14 and that of other 9 numbers is 16, then find the middle number.