1. What is Mean Percentage Score?

The Mean Percentage Score represents the average performance of a group relative to the maximum possible score. It's commonly used in educational settings to evaluate overall class performance on tests or assignments.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( \sum \text{Scores} \) — Sum of all individual scores
• \( \sum \text{Max Scores} \) — Sum of all maximum possible scores
• \( n \) — Number of scores

Explanation: The formula calculates the ratio of total scores to total maximum scores, divides by the number of items, and converts to a percentage.

3. Importance of Mean Percentage

Details: Mean percentage provides a quick overview of overall performance, allowing comparison between different tests or groups. It helps educators identify whether material needs to be retaught.

4. Using the Calculator

Tips: Enter scores and maximum scores as comma-separated values. Both lists must have the same number of items. Example: "85,90,78" and "100,100,100".

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between mean percentage and average?
A: Mean percentage specifically relates scores to their maximum possible values, while average could be of raw scores without context.

Q2: What is a good mean percentage score?
A: This depends on context, but generally 70-80% might indicate satisfactory understanding, while below 60% may suggest significant learning gaps.

Q3: Can I use this for weighted scores?
A: No, this calculator assumes all items have equal weight. For weighted scores, additional calculations would be needed.

Q4: How many scores can I enter?
A: There's no strict limit, but extremely long lists might cause performance issues.

Q5: What if some students didn't complete all items?
A: You should either exclude those students or assign zero for missing items, depending on your scoring policy.