This cracks me up because it is often said with such confidence, but it is just wrong.
If you have 10 people, 8 have an intelligence score of 1, 1 has a score of 5 and 1 has a score of 10. The average is 2.3 which means that 80% of the people are below average.
The median is the only thing that is going to guarantee 50%.
That the bottom 25% of scorers in standardized tests are in the bottom quartile of the distribution, which is literally defined as the bottom 25%, but the Twitter user seems to be using that fact to justify something yet he's literally just stating a fact?
The bottom 25% will always exist and there will always be 25% of the results contained within it.
Not sure how anyone doesn't get it, but this Twitter screenshot exists, so there's that.
So can dioxide, in fact oxide is responsible for so many processes which lead to "break down" of many molecules that it's got a specific term oxidation, methinks dihydrogen monooxide is also bad because of that oxide thing.
If everyone gets the full mark, it’s not a random variable anymore, you would have a collapse of the probability distribution, that would tend to a Dirac delta function. In this case, the very definition of “quartiles” would fail. So, yeah, there would be no one there because it wouldn’t exist.
If ever a reliable method for measuring actual intelligence rather than IQ is invented I imagine we'll be seeing a somewhat lumpier graph than that smooth mean distribution curve.
No, this is how a graph showing quartiles will always look because quartiles, by definition, always include a fixed percentage of the studied population under them.
In this case the lower quartile will always have 25% of the population under it, 50% under the second quartile, and 75% under the third quartile.
Quartiles break a population into 4 equal portions.
Spendrill is not misunderstanding the OP. He's just saying that if intelligence could be measured by a better metric, then distribution of that metric among the population would not look as smooth as the one in the OP.
I know what this graph is, I was talking about a graph that actually showed something useful. If you've got a couple of hours to learn something useful then you could do worse than to look at this video: https://www.youtube.com/watch?v=UBc7qBS1Ujo
At the end of the day, reducing intelligence down to one single number is already kind of questionable. What does it mean for someone to be 1 point more intelligent than another person?
If you took a test as a child, it was probably WISC-V.
This assessment provides the following scores:
A Composite Score that represents a child's overall intellectual ability (FSIQ)
Primary Index Scores that measure the following areas of cognitive functioning: Verbal Comprehension Index (VCI), Visual Spatial Index (VSI), Fluid Reasoning Index (FRI), Working Memory Index (WMI), and the Processing Speed Index (PSI).
Ancillary Index Scores are also provided: The Quantitative Reasoning Index (QRI) ; Auditory Working Memory Index (AWMI); Nonverbal Index (NVI); General Ability Index (GAI); and the Cognitive Proficiency Index (CPI).
Which seems very reasonable to me. This was originally intended to be an aptitude test, not strictly to measure your intelligence.
It's also, there are several different axes that you could measure intelligence along, spatial intelligence and awareness, emotional intelligence and so on. Also intelligence is a sliding scale, there are definitely times of the day, week month and year when I am less able to solve problems and more likely to cause them and then you're into the social aspects, it's been demonstrated that people's ability to think straight is affected by how precarious their existence is and so on.
It's amazing you used standardized test stats, while I believe the test are part of the problem. When I was in school, you learned the subject, and the standardized test was a decent level. Now, all the subjects are should be called reading comprehension, because that's how they teach. Teachers are held to teach their students how to pass the test. Extra school funds are tied to percentages based on test scores. So they pass out, and teach off of, worksheets that are mirrored off of these test. So they don't teach science, hey teach you to answer the multiple choice questions after reading about science. Everytime my kids bring homework home i ask them if all of their work is like this, this being reading comprehension worksheets, and they say "pretty much".
My favorite example of how broken it is is from my Senior year in high school.
The test used for funding at time was the TAAS (Texas Assessment of Academic Skills). It was insultingly easy. I aced the High School Exit Exam version of it it in 4th grade. But EVERYTHING in school was about that test.
We actually took the real test in 10th grade, so everyone had extra chances if they failed it. If you didn't pass, you were placed in special classes that focused even MORE heavily on it so you could try again the next semester. In order to take any AP courses after 10th, you had to have already passed the test. In my English IV AP courses, every student in the class had gotten a perfect score on the exam 2 years earlier.
They still made us practice it weekly. We had block scheduling, so "weekly" was 40% of all class meetings. Why did we have to keep practicing for a test we'd already aced? Because they wanted to the teacher to practice having the students practice.