ABC Branch of XYZ Bank

ABC Branch of XYZ Bank has decided to give 10 Lakh of loan each on long term basis to only two of their customers (accountholders), who are businessmen of the locality. About 20 businessmen had applied for loan in order to develop their business further. In order to reject some of the applications (as the fund was limited), the Bank decided that accountholder who had maintained a minimum balance of 50000 INR would only be considered for the loan. As a result, 10 applications were automatically rejected as they were not satisfying the requirement of minimum balance. Now, the 10 applications remained and it was found that monthly minimum balance in all the cases were more than 50000 INR for the last 12 months. Their account details of monthly minimum balance are given below.

You as an Assistant Branch Manager of the Bank are entrusted the task of selecting two account holders for sanctioning the loans. How you will select the two individuals among the 10 applicants to give the loan using appropriate statistical techniques? Give proper justification for your selection.