The average of 22 numbers is 37.5 . The average of first 12 numbers is 40.6 and that of the last 12 numbers is 35.4 . If 11 th and 12 th numbers are excluded, then what is the average of the remaining numbers?

36.9

Sum of 22 numbers = 22 x 37.5 = 825

Sum of first 12 numbers = 12 x 40.6 = 487.2

Sum of last 12 numbers = 12 x 35.4 = 424.8

Sum of 11th and 12th number = (487.2 + 424.8) - 825 = 87

Average when 11th and 12th numbers are excluded = \(\frac{825 - 87}{20}\) = 36.9