Average temperature for a week is noted as 32D.C. But later it was realized that Monday temperature reading was taken as 30D.C instead of 16D.C. What is the true average temperature for the week?Options20301510None of these
Question
Average temperature for a week is noted as 32D.C. But later it was realized that Monday temperature reading was taken as 30D.C instead of 16D.C. What is the true average temperature for the week?Options20301510None of these
Solution 1
To solve this problem, we need to first understand that the average temperature was calculated incorrectly. The average given is 32 degrees Celsius, which means the total temperature for the week (7 days) was 32*7 = 224 degrees Celsius.
However, the temperature for Monday was recorded as 30 degrees Celsius when it should have been 16 degrees Celsius. This means the total temperature calculated was 14 degrees too high (30-16 = 14).
So, to find the correct total temperature for the week, we subtract this difference from the original total. That gives us 224 - 14 = 210 degrees Celsius.
Finally, to find the new average, we divide this correct total by 7 (the number of days in a week). So, 210 / 7 = 30 degrees Celsius.
Therefore, the correct average temperature for the week is 30 degrees Celsius.
Solution 2
To solve this problem, we need to first understand that the average temperature of a week (7 days) was initially calculated as 32 degrees Celsius. This means that the total sum of temperatures for the week was 32 degrees * 7 days = 224 degrees.
However, the temperature for Monday was recorded incorrectly. It was recorded as 30 degrees when it should have been 16 degrees. This means the total sum of temperatures for the week is actually less than initially calculated.
To find the correct total, we subtract the incorrect Monday temperature from the total and add the correct Monday temperature: 224 degrees - 30 degrees + 16 degrees = 210 degrees.
Finally, to find the new average temperature for the week, we divide this correct total by 7 (the number of days in a week): 210 degrees / 7 days = 30 degrees Celsius.
So, the correct average temperature for the week is 30 degrees Celsius.
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