A computer's core purpose is to accept raw data as input and manipulate it in order to produce meaningful output.
The general term for a computer performing operations on data, such as calculating, sorting, comparing, or converting it into a different form, is processing. This term describes the manipulation stage of the data processing cycle, which is usually summarised as input, processing, and output.
The other options describe related but distinct activities. Batching refers to grouping data or jobs together to be processed at one time, which is a method of organising work rather than the manipulation itself. Utilizing simply means making use of something and is too general and non-technical to describe data manipulation specifically. Upgrading refers to improving hardware or software, which has nothing to do with manipulating data.
Whenever a question asks for the general name of computers manipulating data in "many ways", the expected technical term is processing, since it is the standard middle stage of the data processing cycle.