The average of 28 numbers is 50. The average of the

Solution

ATQ, Sum of 28 numbers = 50 × 28 ⇒ 1400 Sum of first 16 numbers = 55 × 16 ⇒ 880 Sum of last 13 numbers = 13 × 45 ⇒ 585 Let the 16th number be x Sum of 28 numbers = Sum of first 16 numbers + Sum of last 13 numbers - 16th number ⇒ 1400 = 880 + 585 - x ⇒ 1400 = 1465 - x ⇒ x = 1465 - 1400 ⇒ x = 65 Sum of remaining numbers = 1400 - 65 ⇒ 1335 Remaining numbers = 27 Average of remaining numbers = 1335 / 27 ⇒ 49.4 ∴ The average of the remaining numbers (correct to one decimal place) is 49.4