Answer:
see attachment
Explanation:
You have not specified the language, or the details of the I/O form or prompts. Here is a program that does that, written in Wolfram language (the language of Mathematica).
It prompts separately for student name and student score. The minimum score is presumed to be higher than -99999. If only one student name is entered, the second output is that score with no name listed. There is no error checking.
We have elected to keep a list only of the two two scores, and to sort that list again each time a new entry is made.
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The attachment shows the output of the program below the program listing.
