## Mean

Show the average grading scale level by taking the standard scale and providing a number for each.

*Example: Mastery = 4, Near Mastery 3, Approaching Mastery 2, Not at Mastery 1 and dividing by the number of attempts.*

## Mode

Show the grading scale level most frequently received by the student.

*Example: A student has a variety of attempts: five at Mastery, four at Near Mastery, and two at Approaching Mastery. The student displays Mastery as this has happened the most frequently.*

## Most Recent

Show the most recent grading scale level for the student.

*Example: The student received Mastery on Monday and Near Mastery on Tuesday, display the latest score “Near Mastery”.*

## Highest

Show the best grading scale level the student received.

*Example:*

*The student received Mastery on Monday and Near Mastery on Tuesday, display the highest score “Mastery”.*

## Decaying Average

This formula is calculated based on an average with more weight given to the most recent scores; the higher the decay rate, the more heavily recent assessments are weighted.

The most recent assessment is defaulted at 65%.

For example, if there are two assessments, the most recent assessment gets 65% weight, and the first gets 35%. For each additional assessment, the sum of the previous score calculations decay by an additional 35%. If you have three assessments, the weighting would be 12% for the first assessment, 23% for the second assessment, and 65% for the third assessment.

The math behind the 65% decaying average works like this:

Let’s say you have four assessments that receive the following scores: 1, 2, 3, 4 (this last one being the most recent):

(1 × .35) + (2 × .65) = X (X × .35) + (3 × .65) = Y

(Y × .35) + (4 × .65) = Z (this being the current standard score; 3.48

*An example:A student receives a score of a 2, 3, 4 (most recent) on a single standard, using decaying average the student receives a 3.5. The formula calculates to a 3.5275 and rounds down.*

*If a student receives a score of 2, 4, 4, the Decaying Average formula calculates to a 3.755, so it rounds up.*