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 :
Total temperature for the first four days = 4 × 25°C = 100°C
Total temperature for the last four days = 4 × 25.5°C = 102°C
Total temperature for the week = 7 × 25.2°C = 176.4°C
Total temperature for the first and last four days = 100°C + 102°C = 202°C
⇒ Temperature on the fourth day = 202°C – 176.4°C = 25.6°C
Hence, the correct answer is 25.6°C.
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