## SATs, Standard Variation, and Pseudo-Meritocracy

Wherein we are a traitor to our SAT percentile.

We recently stumbled across this article about the relationship between family income and SAT scores. The College Board conceded that there’s a very strong income effect:

Here’s where the standard deviation comes in. If we look at the original College Board report (pdf), we can find not only the average scores for each income group, but also the standard deviation:

So, some readers will ask, “What the hell is a standard deviation?” To keep things very simple, it allows us to understand how scores are dispersed around an average. In other words, we can estimate the shape of the ‘bell curve.’ This allows to estimate how many students score within certain ranges, assuming the scores are normally distributed (are actually bell curve shaped). Because the SAT scores are normalized, we can do this!

When we estimate how many students score 700 or higher, here’s what we find:

The first thing to note is that even among the wealthiest students, only a small fraction score higher than 700. But the other thing to notice is that wealthy students are dramatically over-represented: those in families with incomes greater than \$200,000 are overrepresented nearly three and a half-fold, while the poorest students are underrepresented five fold. There seems to be an inflection point at the \$80,000 income mark–in a nation where the median income for households with children hovers around \$60,000.

Of course, even among the poorest, there are students who score high. Some of them will manage to attend elite schools and do well. Maybe even give stirring commencement speeches on occasion. But let’s not fool ourselves: this is a heavily biased system that has the trappings of merit. Enough lower-income students do well and enough upper-income students do poorly such that your parents’ income isn’t iron-clad destiny.

That’s why this system really should be called a pseudo-meritocracy. It’s not so absolutely biased such that it’s a de facto caste system, but there are real advantages to being wealthy.

Same as it was, I suppose.

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### 3 Responses to SATs, Standard Variation, and Pseudo-Meritocracy

1. Eric Zuesse says: