The average of 46 numbers is 50.5. The average of the first 25 numbers is 45 and that of the last 18 numbers is 56. The 28th number is 67. If the 26th and 27th numbers ate excluded, then what is the average of the remaining numbers ?
Answer & explanation
Correct answer: option 3
Sum of 46 numbers = 50.5 x 46 = 2323
Sum of 1st 25 numbers = 45 x 25 = 1125
Sum of last 18 numbers = 56 x 18 = 1008
Sum of 26th, 27th and 28th numbers = 2323 - 1125 - 1008 = 190
Sum of excluded numbers = 190 - 67 = 123
Sum of 44 numbers excluding 26th and 27th = 2323 - 123 = 2200
Average of 44 numbers = \(\frac{2200}{44}\) = 50