**Judgment526 said:****Dr4kon said:**
And just like the writer of this story, you also don't know what the average means.

Average = mean. There is absolutely no difference.

Median = the middle value. For an even amount of numbers, it is the mean of the two middle values.

What our MC should have asked for is of course the median, as it is less susceptible to outliers (like the dragon).

But if she got the mean amount of power, she should be weak as hell. There is only 1 (or maybe a few) super powerful dragon, while there are countless weak creatures to compensate for that.

And then the 'middle of the scene'-exposition that is is shoe-horned in, says she got half the power of the dragon, which is even moreso NOT the average.

If you really can't even think of a plausible reason for your premise, what are you doing writing a story?

And then the 'middle of the scene'-exposition that is is shoe-horned in, says she got half the power of the dragon, which is even moreso NOT the average.

If you really can't even think of a plausible reason for your premise, what are you doing writing a story?

There are actually three types of average, and median is very much one of them. It’s just that in most cases, when we talk about average, we’re actually referring to the mean, which is certainly what the protagonist was asking for since, even if you factor in how strong an elder dragon might be, the number of weak individuals would balance this out resulting in a power level that’s...well, fairly average.

Assuming a relatively even distribution of power levels across the spectrum from weakest to most powerful, the median would in fact end up being around the midway point between weakest and strongest which is exactly what the protagonist got, and that fits the description we got this episode.

You call the elder dragon an outlier, but there’s really no way for us to know if that’s true without being specifically told that is there? All we know is that the elder dragon stands at the pinnacle, but we’re never told if there are other powerful beings that are only slightly weaker than it, and if so, how many there are.

There are actually many types of averages, used for different sets of numbers. The median, however, is not an average. It is the middle value. It is often used along side an average, sure, since they are both measures of central tendency. The median might colloqually be confused with an average. But mathematically, it is not an average. Calling it an average only leads to mistakes (in a professional setting, that is).

Sure, with an approximately normal distribution the mean and median are very close to each other. But the protagonist didn't get halfway between the weakest and strongest. She got half the power of the strongest. Yes, that might be similar. It isn't a given, though. They might vary wildly, making the statement in itself incorrect.

And yes, we don't know the distribution of power among the inhabitants of that world. But I believe it to be a reasonable assumption, that if ONE specific dragon is named as the cause of her higher than normal (for humans) power, that that one dragon skews the mean away from the median, i.e. is an outlier.

Also possible is that the average of humanity lies well below the average of the world. Still, saying that she got half the power of that dragon is mathematically wrong, no matter how you spin it.