The average temperature of a city for the first sixteen days of January is 22°C, and the average temperature for the last sixteen days of the same month is 26°C. If the average temperature for the entire month is 24°C, what is the temperature on the sixteenth day?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 24°C.
Let, the temperature on the sixteenth day be x
Average = Sum of observations/Number of observations
The sum of the temperature of the first sixteen days = 16 × 22 = 352
The sum of the temperature of the last sixteen days = 16 × 26 = 416
The sum of the temperature of the entire month = 31 × 24 = 744
⇒ x = 352 + 416 - 744
⇒ x = 24