IB Mathematics Analysis and Approaches (AA) SL Extended Essay Example

Your investigation has a clear mathematical topic and a purposeful comparison between betting systems.

You define measurable outcomes that make the question answerable and relevant.

Your method includes simulation, probability, and statistical testing rather than relying on description alone.

Your central question is still a little broad because 'advantage' can mean several different things.

The wording shifts between different aims, which weakens the consistency of the investigation.

Some methodological details are not fully consistent, especially around stopping rules and parameter values.

You use a strong range of relevant mathematical language, including probability, variance, expected value, ANOVA, and Levene's test.

You apply Fibonacci ideas correctly to the betting context and connect the sequence to bankroll limits in a meaningful way.

Your explanation shows good understanding of the roulette model and the mathematical setting of the investigation.

Some terminology is used imprecisely, such as describing Fibonacci growth as exponential.

A few statistical interpretations are too strong, especially when drawing conclusions from tests.

Your use of sources and evidence is sometimes more descriptive than mathematically rigorous.