In the UK, this is a UK forum, average a general term for mean, median and mode.
Here is an extract from A level Maths revision notes. A levels are taken at 18 and form the basis of University selection.
"What are mean, median and mode?
https://www.savemyexams.co.uk/a-lev...al-measures/2-1-1-basic-statistical-measures/
- Mean, median and mode are measures of location
- A measure of location gives information about where data is in the number system
- Mean, median and mode are measures of central tendency
- They describe where the centre of the data is
- They are all types of averages
- In Statistics it is important to be specific about which average you are referring to"
You will note that importance is placed telling people which average you are using.
Obviously people will choose a miss leading type of average and then may be unwilling to tell people which type they used as it will undermine their argument.
I guess you guys use a different math language than we do over here. Average is flatly stated in the M-W dictionary here as the sum divided by the quantity.
however, the use of the word average is almost constantly used to mislead, often because someone has convinced themselves that they have the freedom to use it.
The pitfalls of average used without other measures is something different (skewness, kurtosis, etc), but that's usually reasonably well covered by providing the median (e.g., the median net worth in the US is something like $130k) vs. the mean ($750k).
You will often see that "the average person is drowning in debt", or comments like that, or "the average poor person pays more in taxes than the rich".
Neither of these are true.
Too, if folks try to rely on calling the mode "average", which is how some people perceive it here, too - as any group you can think of has having more than one can be "the average person" often refer to a group that isn't the mode, either.
I would call misuse of numerical terms to support an argument or imply that something is numerically significant and then say it's not is part of "the language of losers". An excellent term that Adam Carolla coined years ago for people who say something that is intentionally inaccurate. Loser language often involves numbers. Like saying "I missed that because I didn't double check it" which is a fudge around saying you didn't check something at all leaving the recipient of the communication to think maybe you did check something but missed it. Intentionally.
Loser implies the person who doesn't try or do but talks like they did, not the person who tried and failed.