That's a great question, Reop.
The word "generally" implies the group as a whole, though taking into consideration that there may be exceptions not covered by the sweeping description. So, in answer choice (E) to the question you reference, the second sentence could be understood: "as a whole, ignoring any exceptions, lawn mowers powered by electricity require less maintenance than do lawn mowers powered by gasoline." However, don't confuse this term with "all" which precludes the possibility of exception. You can think of it as "most." To cross-reference the conversation with our
Logical Reasoning Bible, the list on page 308 of the January 2013 version includes the word "typically," which is synonymous with "generally."
The word "average," used in both the stimulus and the correct answer choice, (C), has a very different context than "generally," and expresses a specific numerical relationship among numbers. Because the average is, to quote
Merriam-Webster, "a single value (as a mean, mode, or median) that summarizes or represents the general significance of a set of unequal values " you have to be cautious of conflating that result with the idea of "most."
In the stimulus to the question you referenced, there were bus drivers using the old system, and bus drivers using the old system. To simply discuss the difference between "most" and "average," consider this example.
You have five drivers using the old system and five drivers using the new system. On a scale of 1 to 10, with 10 being the best time record possible, let's say the results are:
Old: 5, 5, 5, 5, 5
New: 10, 9, 4, 4, 4
Although most of the drivers using the new system had a worse time record than any of the drivers under the old system, the average record of drivers under the new system was higher (6.2) than the average record of those under the old system (5).
Hope that helps sort out the meanings.
Ron