IB Mathematics Applications & Interpretation (AI) SL Internal Assessment Example

The title is concise and clearly conveys the focus of the exploration, engaging the reader with a specific real-world context in Formula 1.

The introductory image lacks a caption or explanation. Consider adding a brief description to clarify its relevance and improve coherence between visual and text.

Page numbers are missing in the contents. Adding page references for each section will improve the reader’s ability to locate key parts quickly.

The table of contents provides a clear roadmap of sections, enhancing navigability and overall organizational clarity.

The introduction is informative but is presented as a single, lengthy paragraph. Splitting into distinct paragraphs (background, aim, personal rationale) would improve readability.

The step-by-step calculator instructions disrupt the narrative flow. Consider moving detailed keystrokes to an appendix and summarizing the procedure in the main text.

Detailed calculator keystrokes continue to interrupt the main argument. Summarize the test procedure in prose and relegate step-by-step keystrokes to an appendix.

The use of bullet lists for grouping and procedure clarifies the methodology steps, enhancing readability and logical progression.

The manual expected value calculation is thorough, but the exposition is lengthy. Consider summarizing key steps and referencing the formula to maintain conciseness.

The reference list mixes citation styles. Adopt a consistent format (e.g., APA or MLA) and include access dates for web sources for greater academic rigor.

Null and alternative hypotheses are stated clearly using correct symbolic notation. This demonstrates appropriate use of statistical language.

The initial t-test grouping is succinctly presented, showing clear independent sample design. This structure aids understanding of the statistical comparison.

Presenting the formula for win percentage with clear notation is effective and ensures consistency when used later in calculations.

The worked example for Lewis Hamilton demonstrates application of the formula clearly, providing a concrete illustration that aids comprehension.

Including the calculator screenshot for the independence test results helps the reader verify outputs and adds transparency to the calculations.

The tabular presentation of t-test results is precise and includes all relevant statistics, facilitating clear mathematical communication.

The downward arrow on Sx2 is unconventional and may confuse readers. Use standard notation (e.g., S₂) to maintain consistent mathematical language.

Considering factors such as weather, mechanical failures, and team strategy is a valuable initiative. To enhance, discuss how these could be incorporated into future statistical models.

The conclusion reiterates findings but lacks discussion of broader implications or potential confounders. Extend this section to reflect on the study’s impact.

The reflection identifies possible extensions but remains descriptive. Incorporate critical evaluation of methodological assumptions to deepen reflection.

The data collection description is brief and lacks specifics on inclusion/exclusion criteria. Clarify how drivers were selected and why the 2014–2024 range was chosen.

The variable definitions appear reversed: the percentage of wins should be the dependent variable and titles the independent. Correcting this will align methodology to statistical conventions.

The methodology omits discussion of key assumptions for chi-square (e.g., expected frequency thresholds). Addressing these would deepen the statistical rigour.

The rationale for choosing a one-tailed test lacks discussion of normality or equal variance assumptions. Include justification for these to strengthen validity.

Rounding percentages to whole numbers for the chi-square matrix sacrifices precision in expected values. Consider retaining decimals or using a different software approach.

Inputting rounded win percentages into the chi-square matrix introduces bias. Retain raw decimals or scale the matrix accordingly to avoid distortion.

The analysis succinctly compares p-values to the significance level, yielding clear conclusions that tie back to the research questions.

The appendix data table is comprehensive and directly supports the calculations, demonstrating thorough data management.