Mathleague-Help Weighted Scoring

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Weighted Scoring

While team scores are still based only on the standard points, individual scores for division and state rankings will use a weighted scoring method this year.

The formula for the value of each problem is

$score=base+ln\left(\frac{1+number\;of\;students\;attempting}{1+number\;of\;students\;getting\;correct}\right)$

Here are some examples of how it works

Scenario 1

24 students on scoring teams in your division do event C and on problem 3 (which has a base score of 2). 10 students on scoring teams get it correct. Any student (whether on scoring team or not) getting the problem correct will get $2+ln\left(\frac{1+24}{1+10}\right)=2+ln\left(\frac{25}{11}\right)\ap2.821$ weighted points.

Scenario 2

24 students on scoring teams in your division do event C and on problem 2 (which has a base score of 2). Only 3 students on scoring teams get it correct. Any student (whether on scoring team or not) getting the problem correct will get $2+ln\left(\frac{1+24}{1+3}\right)=2+ln\left(\frac{25}{4}\right)\ap3.833$ weighted points. More points because presumably harder question.