# Scoring with Maximum Scores, Weights and Randomization

Let us consider an assessment that uses a combination of [weights and maximum scores](/speechace-speaking-test/speechace-workspaces-create-manage-and-share-speaking-assessments/creating-assessments/create-new-custom-assessments/custom-assessment-configurations/weights-max-scores-timers.md). The test creator has created two groups: **Pronunciation** (with a maximum score of 8.0 and a weight of 70%) and **Fluency** (with a maximum score of 3.0 and a weight of 30%).

<figure><img src="https://speaking-test-docs.speechace.com/~gitbook/image?url=https%3A%2F%2F2079371467-files.gitbook.io%2F%7E%2Ffiles%2Fv0%2Fb%2Fgitbook-x-prod.appspot.com%2Fo%2Fspaces%252FKCjGnWORTEi39HEr4hwY%252Fuploads%252FGsQwiFTNqfudK1N234AW%252Fimage.png%3Falt%3Dmedia%26token%3D6f267655-6a88-4c47-90b2-97c238df6739&#x26;width=768&#x26;dpr=4&#x26;quality=100&#x26;sign=18522d91&#x26;sv=2" alt=""><figcaption></figcaption></figure>

The above configuration not only specifies the maximum possible score for a question but also caps the maximum possible score for the assessment. In the below paragraphs, we explain the logic behind each of these calculations.

**Maximum possible score for the assessment**\
\
The maximum possible score for the assessment is determined by a weighted average of the maximum scores of each question group as illustrated in the formula below:

Aggregate Maximum Score Calculation = Sum of (`Max score of group` x `weight of group`) / (100)

For this example, the **Pronunciation** group has a a max score of 8.0 and a weight of 70% and the **Fluency** group has a max score of 3.0 and a weight of 30%. Therefore the max possible score for the assessment will be 6.5 out of 9.0, as shown in the calculation below:

$$
\[(8.0*70)+(3.0*30)]/100=6.5
$$

No attempt for this assessment will have a score > 6.5

#### Scoring an attempt

When an attempt is made on the assessment, the score for each question is capped by its group's  maximum score. The overall attempt score is then calculated by taking a weighted average of the average question score of all groups as illustrated below:

Score = Sum of (`average question score for group` x `weight of section`)/100

As an example, if the Speechace scores for the two **Pronunciation** questions are 8.0 and 7.6, and the one **Fluency** question is 3.0 (all out of 9.0), the final assessment score will be 6.4 out of 9.0 as per the calculation below:

$$
\[(((8.0+7.6)/2)*70)+(3.0*30)]/100=6.4
$$


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