The average of 22 numbers is 90. The average of the

Solution

ATQ, Sum of 22 numbers = 90 × 22 ⇒ 1980 Sum of first 14 numbers = 95 × 14 ⇒ 1330 Sum of last 10 numbers = 10 × 85 ⇒ 850 Let the 14th number be x Sum of 22 numbers = Sum of first 14 numbers + Sum of last 10 numbers - 14th number ⇒ 1980 = 1330 + 850 - x ⇒ 1980 = 2180 - x ⇒ x = 2180 - 1980 ⇒ x = 200 Sum of remaining numbers = 1980 - 200 ⇒ 1780 Remaining numbers = 21 Average of remaining numbers = 1780 / 21 ⇒ 84.8 ∴ The average of the remaining numbers (correct to one decimal place) is 84.8