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To find out which side effects occur the most often in a set of raw medical data, the most appropriate algorithm from the options provided would be a **for loop**.
A for loop can be used to iterate through the data to count occurrences of each side effect, allowing you to easily tally and determine which side effects are the most frequent.
Other options like binary search and linear search are not suitable for this type of problem, as they are primarily used for searching for specific elements in a data structure rather than counting frequencies. Bubble sort is focused on sorting data, which is not directly relevant to simply counting occurrences.