The mean temperature from Monday to Thursday is 39.25°C. The mean temperature from Thursday to Sunday is 40.25°C. If the sum of the daily temperatures of all the days during the week, from Monday to Sunday, is 277.5°C, then what is the temperature for Thursday?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 40.5˚C.
We know that,
Average = Sum of observations/Number of observations
The sum of all the temperatures from Monday to Thursday
(Monday to Thursday)/4 = 39.25°
Monday to Thursday = 157° -----(i)
The sum of all the temperatures from Thursday to Sunday
(Thursday to Sunday)/4 = 40.25°
Thursday to Sunday = 161° -------(ii)
Thursday is included in these two values twice.
We are given that the sum of all the temperatures given from Monday to Sunday = 277.5º C
The sum of equations (i) and (ii) = 161° + 157° = 318°
So,
The temperature on Thursday = 318° - 277.5° = 40.5°C