Question - Calculating Test Averages with a Fifth Test Score
Solution:
The image contains a math problem that is related to calculating averages. Here's how we can solve it:The problem states that after the first four tests of the term, Eddie had a test average (mean) of 78%. Eddie thinks that if he scores 92% on his fifth test that his average will be 80%.To find out if Eddie is correct, we need to calculate the average after including the fifth test score.First, we calculate the total score for the first four tests:If the average of four tests is 78%, then the total percentage points for four tests is 4 tests * 78% per test = 312%.Then we add the score of the fifth test:Eddie is expecting to score 92% on his fifth test, so we add this to the previous total to get the new total percentage points:312% (total of the first four tests) + 92% (fifth test) = 404%.Now we calculate the new average:To find the new average after five tests, we divide the total percentage points by the number of tests, which is 5 in this case:404% (total percentage points) / 5 tests = 80.8%.This shows that if Eddie scores 92% on his fifth test, his new average will be higher than 80%. Therefore, Eddie is incorrect, because his average will not be exactly 80%, it will be slightly higher at 80.8%.To show Eddie how to calculate the correct test average, you would explain the steps above: sum the percentage points of all the tests taken and then divide by the number of tests to get the new average.
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