Temperature Change: Sum of Daily Changes

AI Thread Summary
The discussion revolves around calculating daily temperature changes for a week in May, with specific temperatures provided for each day. The participant initially calculated daily changes but arrived at a net change of 0 degrees, which was questioned. Clarification was sought on whether the net change should be the sum of absolute values or simply the difference between the final and initial temperatures. The correct net change was identified as 2 degrees, emphasizing that it should be calculated from the first and last day's temperatures, not the sum of daily changes. The conversation highlights the importance of understanding how to compute net changes accurately in temperature data.
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Homework Statement



The following table shows the daily high tem-
peratures for a week in May. Determine the
change in temperature each day.

Sun. 76◦
Mon. 72◦
Tues. 80◦
Wed. 75◦
Thurs. 75◦
Fri. 74◦
Sat. 78◦

Find the net change in temperature (the
sum of all the temperature changes).

Homework Equations



None

The Attempt at a Solution



I know this seems easy, but I'm not getting the right answer:

Sun. to Mon. = -4 degrees
Mon to Tues. = 8 degrees
Tues. to Wed. = -5 degrees
Wed. to Thurs. = 0 degree
Thurs. to Fri. = -1 degree
Fri. to Sat. = 4 degrees
Sat. to Sun. = -2 degrees

Added them up and got: 0 degree

Am I suppose to just add up the absolute value of the temperature changes?
 
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Wouldn't the net change be the temperature on the final day - temperature on the first day, i.e. 2 deg F.

Or if one did a least squares fit to trend the data, and then take the final difference or the sum of the differences to the tread line.

Does the net temperature change = the sum of all the temperature changes?
 
The Saturday to Sunday change shouldn't be included I don't thing.
 
2 degrees is right thank you!
 
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