The average of five consecutive numbers is 53. What is the biggest of these numbers?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 55.
Average = sum of all observations/Sum of all observations
Let the five consecutive numbers be a, a + 1, a + 2, a + 3, a + 4
⇒ a + a + 1 + a + 2 + a + 3 + a + 4 = 53 × 5
⇒ 5a + 10 = 265
⇒ a + 2 = 53
⇒ a = 51
Hence, the biggest number = a + 4 = 51 + 4 = 55