Comment by sebastiennight
Comment by sebastiennight 4 days ago
The math doesn't add up here?
You're saying that $500-600 (the amount you claim 50% of people have saved up, if it's the median) covers 3 months of expenses?
Comment by sebastiennight 4 days ago
The math doesn't add up here?
You're saying that $500-600 (the amount you claim 50% of people have saved up, if it's the median) covers 3 months of expenses?
I'm not sure I catch your explanation, so let's try with some simple numbers and you'll tell me where I'm wrong.
I have a family of 10 people. These people have, respectively,
$0 ; $0 ; $1 ; $5 ; $49 ; $51 ; $190 ; $8,000 ; $150,000 and $1,000,000.
What's the median amount of savings in this group?
And what amount would complete the sentence : "50% of people have ..."?
The median of those ten numbers is 50.
If the count of observations is even, it is usually the arithmetic mean of the two mid-points, so (49+51)/2 in this case.
The median does not have to be in the finite set of values.
Maybe Wikipedia can explain better than I can: https://en.wikipedia.org/wiki/Median
You didn't answer my second question. Yes the median in my example is $50. Thus it would be accurate to say "50% of people in that sample have $50 (or $51)". But not anything further than that middle point.
Back to the original post:
I'm assuming that "three months of expenses" would be roughly $6,000.
The parent post had the median at $500.
1. Given the sheer number of adult Americans (hundreds of millions of observed data points), wouldn't you say it's quite likely that the two mid-points are very close to each other (eg $499.97 and $500.02)? But definitely not (-$5,500) in debt for one mid-point individual vs $6,000 in savings for the next individual (which comes out to $500 in median and "top half has $6k")?
2. In the first scenario (almost continuous curve at the midway point), how likely do you think it is that somewhere right after that $500 mid-point, there is a huge discontinuous jump to $6,000 to accomodate the idea that the rough top half of observed savers has "3 months of expenses" saved?
3. Is there any other scenario I'm not foreseeing, that can reconcile: "the median is $500" with "the top 50% have $6,000+ in savings"?
I mean no offense, but your understanding of a median seems flawed. The median is the number/point that separates the upper half from the lower half - it is not what 50% has.
The math does add up. There is no contradiction in your parent’s post.