with this data:

https://docs.google.com/spreadsheets/d/1l1KG9lICAOuBHCgBe962Etpfzup9oYHwgpBDhzjzdko/edit#gid

Determine whether there is a location that users tend to migrate to when using this app or whether users in a certain neighborhood tend to use the app more.

1. Use a centroid-based algorithm, such as k-means clustering, on the data set and report whether there are neighborhoods of heavy app use, and if so, where these neighborhoods are located.
2. Use a density iterative algorithm, such as Gaussian mixtures, on the data set and report whether there are neighborhoods of heavy app use, and if so, where these neighborhoods are located.
3. Comment on any differences between the two methods. What might the final report suggest for future app development?

Problem 1: A K-means or similar algorithm was constructed.

Problem 1: Numerical computations are correct.

Problem 2: A Gaussian mixture or similar density algorithm was constructed.

Problem 2: Numerical computations are correct.

Problem 3: Differences were discussed in more than surface-level detail and were mathematically correct.