Multiple choice

A weather analyst recorded the daily temperature deviations (in degrees Celsius) from the average, over several days. The deviations were all integral values from −20 to 18, inclusive. What is the sum of all these deviations, in degrees Celsius?

  1. 0

  2. −1

  3. −19

  4. −39

  5. −41
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D Correct answer
Explanation

The sum of integers from -20 to 18 is the sum of -20, -19, and the sum of integers from -18 to 18. The sum from -18 to 18 is 0. Thus, the total sum is -20 + (-19) = -39.

AI explanation

The deviations include all integers from negative 20 up to 18, meaning there are 39 days of recorded temperatures. The sum of integers from negative 18 to positive 18 is zero, leaving only the negative 19 as the unpaired deviation. Adding this remaining deviation to zero gives a total sum of negative 39 degrees Celsius.

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