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The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?

Correct answer: D. 34 degrees

  • A. 40 degrees
  • B. 38 degrees
  • C. 36 degrees
  • D. 34 degrees

Explanation

The Monday-to-Thursday total is 4 x 48 = 192 degrees, while the Tuesday-to-Friday total is 4 x 46 = 184 degrees. The common Tuesday-to-Thursday temperatures cancel, so Friday - Monday = 184 - 192 = -8 degrees; therefore Friday was 42 - 8 = 34 degrees. The likely mistake is selecting 38 degrees by subtracting 4 degrees, the difference between the two averages, directly from Monday's temperature.

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An average represents the total of a set of values divided by the number of values, and a weighted average gives different importance to different groups. Problems involve missing values, combined averages, replacement of observations, and changes in the average, so the total and count must be tracked separately.

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