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What is a Decaying Average in Standards-Based Grading?

The Decaying Average is a type of Mastery Level Calculation for Standards-Based Grading that puts more weight on the most recent score.

When you turn on Standards-Based Grading the **Mastery Level Calculation** will automatically be set to Decaying Average 65%. You can learn more about changing your formula and the different options available to you by reading: How Do I Change the Mastery Level Calculation for My Domain.

The **Decaying Average** formula recognizes that the most recent score is more representative of the student's current mastery level and thus puts more weight on that score (as opposed to a straight **average** that counts the student's first work and most recent work as equally important). On the other hand, it also recognizes that past work might be relevant; it is still part of the whole picture (as opposed to the **Most Recent** formula which *only* counts the most recent score).

Let's say you have the Decaying Average 65% formula and 2 scores on Standard A given in this chronological order: 2, 3.

- .35(2) + .65(3) =
**2.65**is the Mastery Level.

Next, imagine that you give that student a new score of 4 on Standard A.

- .35(
*2.65*) + .65(4) =**3.53**is the new Mastery Level. Notice how this takes the last Mastery Level and weights it by 35%, then weights the most recent score for Standard A by 65%.

Score 1 | Score 2 | Score 3 | Current Mastery Level | |

Average | 2 | 3 | 4 | 3 |

Decaying Average 65% | 2 | 3 | 4 | 3.53 |

Most Recent | 2 | 3 | 4 | 4 |

How Do I Change the Mastery Level Calculation for My Domain?

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