Question : The mean high temperature of the first four days of a week is 25°C whereas the mean of the last four days is 25.5°C. If the mean temperature of the whole week is 25.2°C, then the temperature on the 4th day is:
Option 1: 25.5°C
Option 2: 25°C
Option 3: 25.2°C
Option 4: 25.6°C
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Correct Answer: 25.6°C
Solution :
Given: The mean high temperature of the first four days = 25°C
The mean of the last four days = 25.5°C
The mean temperature of the whole week = 25.2°C.
The temperature on the 4th day is given as,
(4 × 25 + 4 × 25.5 – 25.2 × 7)°C
= (100 + 102 – 176.4)°C
= 25.6°C
Hence, the correct answer is 25.6°C.
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