Question $1.$ Finance Engine Ltd$.$ Currently has a vision of becoming the largest e$-$training and certification organization in the banking and financial service industry. It offers financial courses and $15$ certifications. The courses offered by Finance Engine Ltd$.$ are e$-$learning training courses tied to each certification. The courses and certifications are intended for those professionals who want to enter banking and financial service industry. The business school segment has strategic importance for

Finance Engine Ltd$.,$ considering the growing proportion of MBA students who are opting to specialize in financial and pursue jobs in the banking and financial service industry each year. In order to better understand MBA students, the company collected survey data from $50$ MBA students. The survey and the data can be found in the excel file.

$(1)$ Take a close look at the survey, data, and note.

$(2)$ Select at least four variables that you feel are appropriate for clustering the MBA students.

$(3)$ Determine the number of clusters.

$(4)$ Label and interpret the clusters and draft the technical write$-$up$.$

$(5)$ Use four variables, in addition to the variables you used for segmentation to further profile each cluster. Finally, add the profiling information to the technical write$-$up$.$