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A few fellow students graduated with a BA and had their aplications rejected by most companies due to a lack of experience.

Theory is nice. But Experience trumps all. Esp when you think it mostly boils down to PCA/DBSCAN, regression and scatter matrices.

A month of Python/R/D3 on some initial data like pubmed/twitter or any toy dataset would go a looong way.

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I think doing well on Kaggle competitions would already be a good enough indicator for smart companies so it might be a good idea to have student teams do those on the side. Might be a decent idea to inform students that these exist. I feel like this applies even more for other degrees like econ(ometrics) (since I feel like a good math grad should not have trouble getting any data science job).

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