SOLUTION: what is the average for a student who recieved grades85,76 and 82 on 3 tests and a 79 on the final examination in a certain course if the final examination counts three times as mu

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Question 1192223: what is the average for a student who recieved grades85,76 and 82 on 3 tests and a 79 on the final examination in a certain course if the final examination counts three times as much as each of the 3 test
Found 2 solutions by Theo, greenestamps:
Answer by Theo(13342) About Me  (Show Source):
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he had 4 tests in total.
the final was a 79.
the final counts 3 times as much as each of the other 3 tests.
each of the other tests has a frequency of 1.
the final has a frequency of 3.
the weighted total will be 85 + 76 + 82 + 3 * 79 = 480.
the total weights will be 6.
the weighted average will be 480 / 6 = 80.

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


For problems about the average of a group of numbers that are close together, it is often faster to find the answer by choosing an estimated average and looking at the "overs" and "unders" of the individual tests.

These test scores are all close to 80, so assume an average of 80 and look at the overs and unders. The final counts as three tests, so count the score on the final three times.

85: +5
76: -4
82: +2
79: -1
79: -1
79: -1
-------
sum: 0

The "overs" and "unders" exactly cancel each other, showing that the average is exactly 80.