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>As an aside, "Half of the population is below average intelligence" is false. Half of the population is below the median intelligence. Not false. Median is a

by learc83 14y ago

>As an aside, "Half of the population is below average intelligence" is false. Half of the population is below the median intelligence. Not false. Median is a type of average. He never said half the population is below the arithmetic mean.

Karunamon 14y ago
>Not false. Median is a type of average ?? I thought those were two distinct things. The median is the "middle" amount in a set of numbers, while the average or mean is the sum of all the numbers in the set, divided by how many numbers there are.
- learc83 14y ago
  Arithmetic mean, geometric mean, median, mode etc... those are all specific methods of finding the average. The most common average in ordinary use is the arithmetic mean, but they are not the same thing and the word average is much more general.
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ruswick 14y ago
In coloquial terms, the average is synonymous with the mean, and the median is treated as distinct. Moreover, if he truly meant that half of the population was below the median, why would he use an ambiguous term like the "average?" At worst, it's incorrect, and at best, it's an ambiguity that is not necessarily correct.
- learc83 14y ago
  > at best, it's an ambiguity that is not necessarily correct. It is definitively correct. You knew what he meant, you just wanted another jab to back up your argument. If you're going to be pedantic at least be correct. Let's divide the world into 3 types of people. Type A. Those without enough mathematical knowledge to pick up on any possible ambiguity. Who probably don't really know what median means in the first place (the majority of people). Type B. Those with enough mathematical knowledge to understand what he means by "average." (probably the majority of people on hacker news) Type C. Those who got just far enough in math to realize that there is a difference between arithmetic mean, and median, but not far enough to realize that average is a general term. Which of those types are going to confused by the term average instead of median?

by learc83 14y ago

Karunamon 14y ago

>Not false. Median is a type of average ?? I thought those were two distinct things. The median is the "middle" amount in a set of numbers, while the average or mean is the sum of all the numbers in the set, divided by how many numbers there are.

learc83 14y ago
Arithmetic mean, geometric mean, median, mode etc... those are all specific methods of finding the average. The most common average in ordinary use is the arithmetic mean, but they are not the same thing and the word average is much more general.
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ruswick 14y ago

In coloquial terms, the average is synonymous with the mean, and the median is treated as distinct. Moreover, if he truly meant that half of the population was below the median, why would he use an ambiguous term like the "average?" At worst, it's incorrect, and at best, it's an ambiguity that is not necessarily correct.

learc83 14y ago
> at best, it's an ambiguity that is not necessarily correct. It is definitively correct. You knew what he meant, you just wanted another jab to back up your argument. If you're going to be pedantic at least be correct. Let's divide the world into 3 types of people. Type A. Those without enough mathematical knowledge to pick up on any possible ambiguity. Who probably don't really know what median means in the first place (the majority of people). Type B. Those with enough mathematical knowledge to understand what he means by "average." (probably the majority of people on hacker news) Type C. Those who got just far enough in math to realize that there is a difference between arithmetic mean, and median, but not far enough to realize that average is a general term. Which of those types are going to confused by the term average instead of median?