My teacher is averaging up our grades in one area instead of including them all on our report card. For example, he is putting in one grade for the tests (the average of the grades) instead of including each individual grade for all of the tests. Are these two the same thing, or will they have different results?
These two methods of grading, averaging grades versus including each individual grade, can produce different results. Let's consider an example to understand the difference.
Suppose you have taken three tests and received the following grades: 80%, 90%, and 70%.
If your teacher averages these grades, the calculation would be: (80 + 90 + 70) / 3 = 80%. So, your final grade for the tests would be an average of 80%.
If your teacher includes each individual grade, your report card would show each grade separately: 80%, 90%, and 70%.
In this particular example, averaging the grades and including each individual grade produce the same average of 80%. However, it's important to note that these methods yield different results when there is a larger number of grades or when grades vary significantly.
For instance, let's consider a scenario where you have taken five tests and received the following grades: 60%, 70%, 80%, 90%, and 100%.
When averaging the grades, the calculation is: (60 + 70 + 80 + 90 + 100) / 5 = 80%. Therefore, your final grade would be 80%.
If your teacher includes each individual grade, your report card would show each grade separately, which might look something like this: 60%, 70%, 80%, 90%, and 100%.
As you can see, in this example, the average grade is still 80%. However, including each individual grade gives a more comprehensive representation of your performance in each individual test.
So, while both methods can yield the same average grade in specific cases, including each individual grade provides more detailed information about your performance across all tests.