The average of 28 numbers is 77. The average of first 14 numbers is 74 and the average of last 15 numbers is 84. If the 14^th number is excluded, then what is the average of remaining numbers? (correct to one decimal places)

74.7

Sum of 28 numbers = 28 x 77 = 2156

Sum of 1st 14 numbers = 14 x 74 = 1036

Sum of last 15 numbers = 15 x 84 = 1260

14th number = 1036 + 1260 - 2156 = 140

Average 0f numbers excluding 14th number = \(\frac{2156 - 140}{27}\) = 74.66 ≅ 74.7