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You're foaming at the mouth, child. I gave a real-world example in which it made a difference whether you a single maximum value, or not. So it wasn't made up as you claimed. You are pretending it was an excuse to cover not knowing what it was; but it was fatigue. My error on the fentanyl study was that I misread it entirely due to fatigue, missing the N entirely and getting the value of the mean wrong by a factor of four.

I freely admit screwing up my read on the fentanyl study. It happens when you're tired.

I did manage 9 hours of sleep last night, following a late afternoon 2 1/2 hour nap. And the God-awful work project which kept me up for a number of days till 2-3 in the morning is finished, so I am about 1/3 of the way back to being human.

As Ferris Bueller's recording said, "We appreciate your concern for our welfare."

You're foaming at the mouth, child.

Respect your elder, son.

I gave a real-world example in which it made a difference whether you a single maximum value, or not.

Yes, you gave an example at your #314:

I know what the mode is.
Let's say you have three people. You, the guy next door, and Bill Gates.
The average is going to be far more than your net worth or the guy next door.
If you have an outlier, then, and the average is far far less than the outlier, then the count of people having less than the mean, *must be* far more than those over the mean.

It was a useless example which demonstrated that you did not know what you wre talking about, as I more than adequately documented.

At #318 I gave sample data where the result was

Mean value 9.96
Mode value 11.00
Median value 10.00

proving your *must be* claim was nonsense.

Moreover at #321 I quoted Math is Fun to demonstrate that you were full of crap:

https://www.mathsisfun.com/mode.html

More Than One Mode
We can have more than one mode. Example: {1, 3, 3, 3, 4, 4, 6, 6, 6, 9}
3 appears three times, as does 6.
So there are two modes: at 3 and 6
Having two modes is called "bimodal".
Having more than two modes is called "multimodal".

Strictly speaking, in your chosen multimodal example, you woud have three modes, just as I stated. Your example had three modes and was trimodal or multimodal.

And I quoted Math is Fun to document why your chosen example, with only three discrete values, was useless to discuss mode:

https://www.mathsisfun.com/mode.html

Grouping
In some cases (such as when all values appear the same number of times) the mode is not useful.

You made up an example where mode is not useful. It was not easy to make up an example where mode is not useful, but you were up to the task.

Now, you only blather on in an effort to have me waste time in a careful effort to read up on the instructions about caring for my pet rock.