What are the key differences in the underlying mathematical principles of Huffman coding and the Discrete Cosine Transform, and to what extent do these differences affect their respective abilities to reduce file size?SL
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B
Official IB Result
IB Grade: B
Criteria A: Focus and Method
4/6
0
3
6
Criteria Strands
A.1Topic communication and explanation
Good
A.2Research question clarity and focus
Moderate
A.3Research methodology
Moderate
Criteria Feedback
- You state a clear comparative research question at the start.
- Your investigation has a recognisable mathematical direction and links compression to measurable outcomes.
- You use relevant methods such as a worked Huffman example and a DCT-based calculation.
- The comparison between Huffman coding and the DCT is only partly focused because the methods operate on different kinds of data and at different stages of compression.
- The opening context is broader than necessary and delays the mathematical purpose of the investigation.
- The methodology is not fully reproducible because key inputs, assumptions, and computational steps are not presented in enough detail.
Criteria B: Knowledge and Understanding
4/6
0
3
6
Criteria Strands
B.1Subject knowledge application
Good
B.2Use of terminology and concepts
Moderate
Criteria Feedback
- You use a good range of mathematical vocabulary accurately, including terms such as entropy, prefix code, coefficient, normalization, and inverse DCT.
- Your Huffman calculations are mostly correct and grounded in the symbol frequencies from your example.
- You show a solid understanding of the core ideas behind frequency-based coding and transform-based compression.
- Some explanations are imprecise, especially where the DCT is described as sorting data by randomness or as directly removing high frequencies.
- A few mathematical statements overgeneralise, such as treating the DCT as if it applies only to images.
- Some notation and formulas could be written more cleanly and consistently to improve clarity.
Criteria C: Critical Thinking
8/12
0
6
12
Criteria Strands
C.1Research quality
Moderate
C.2Analysis depth
Moderate
C.3Discussion and evaluation
Poor
Criteria Feedback
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Criteria D: Presentation
4/4
0
2
4
Criteria Strands
D.1Structure appropriateness
Good
D.2Layout and formatting
Good
Criteria Feedback
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- Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
- Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur.
- Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.