Matt Yglesias

Jan 5th, 2009 at 4:22 pm

37 Percent

Mitch McConnell says Republican senators “represent half the American population.” James Surowiecki does the math and concludes that they actually only represent 37 percent of the voters. All the more reason not to worry too much about getting 80 votes for anything.






60 Responses to “37 Percent”

  1. fostert Says:

    Yeah, but Surowieki is using regular math, not Karl Rove’s math. And we all know that Karl Rove has The Math.

  2. right Says:

    So I did a quick-and-dirty calculation of how many Americans the senators in each party represent, assuming that each senator represents all of the people in his or her state and that the currently open Senate seats (like Delaware, Illinois, and New York) will be filled by someone from the same party. And what you find, if you do the math, is that Republican senators actually represent about thirty-seven per cent of Americans.

    This is pretty funny, but I can’t quite replicate his numbers. If you do it exactly how he describes it — “each senator represents all of the people in his or her state” — then Republicans represent about half the population (Texas, Florida, Pennsylvania, Ohio, etc. are all said to be “represented” by Republicans as they have at least 1 GOP Senator).

    If you say each senator represents half the population of his or her state (i.e. Bayh represents half of Indiana, Lugar represents the other half), then I get 38% representation for Republicans–close to Surowiecki–which makes sense, given that the Republicans have 41 Senate seats.

    The precise McConnell claim of “Republicans represent half the American population” is a bit closer to the first set of calculations though, intuitively, as Bayh and Lugar both represent all Indianans.

  3. right Says:

    Quick addendum to the above: under the first methodology, Democrats represent 75% of the American population; under the second, 62% (naturally).

  4. JimboSlice Says:

    Actually if you do the REAL math you come out with 50.3%.

    My method (which is the same that New Yorker guy says he used)
    I took all the states with atleast 1 R Senator and added up the populations.

    AL 4.662
    AK 0.686
    AZ 6.5
    FL 18.328
    GA 9.685
    ID 1.523
    IN 6.376
    IA 3.002
    KS 2.802
    KY 4.269
    LA 4.41
    ME 1.316
    MS 2.938
    MO 5.911
    NE 1.783
    NV 2.6
    NH 1.315
    NC 9.222
    OH 11.485
    OK 3.642
    PA 12.448
    SC 4.479
    SD 0.804
    TN 6.214
    TX 24.326
    UT 2.736
    WY 0.532

    TOTAL 153.994
    US POP 305.986

    % 0.503271392

  5. Stephen Myles Says:

    Since senators are elected by the state at-large, it logically follows that each and every senators is the plenipotentiary representation of his or her state.

    The logic which yields the 37% follows from erroneous and inapplicable logic.

  6. mkd Says:

    I did my own crude math after the 2004 election and found that the Republican “majority” in the Senate only represented something like 44% of the population. I also recall a study that showed the majority of total votes cast that year were for a Democrat (combined House/Senate/President races).

    Basically, throughout the years of the Permanent Republican Majority (2001-2007) the majority of Americans never did support them. Yaaaay Democracy!

  7. Peter K. Says:

    Actually if you do the REAL math you come out with 50.3%.

    My method (which is the same that New Yorker guy says he used)
    I took all the states with atleast 1 R Senator and added up the populations.

    … (lots of numbers)

    BUT OBAMA IS THE DECIDER AND HE HAS A LOT OF POLITICAL CAPITAL TO SPEND SO THERE.

    Oi, Surowiecki used the term “neo-Hooverites”! The House GOP nutjobs who rebelled against Bush on the bank bailout are Know-Nothings, they don’t even know who Hoover was.

  8. JimboSlice Says:

    BUT OBAMA IS THE DECIDER AND HE HAS A LOT OF POLITICAL CAPITAL TO SPEND SO THERE.

    That may be the case, but that does not excuse someone from messing up the facts. As I said I used the New Yorker guys methodology:

    So I did a quick-and-dirty calculation of how many Americans the senators in each party represent, assuming that each senator represents all of the people in his or her state and that the currently open Senate seats (like Delaware, Illinois, and New York) will be filled by someone from the same party.

    And doing that came up with EXACTLY the # that Mitch stated. Now one could argue that is not the proper way to determine political capital and whose voice should be heard. But, the fact remains that James Surowiecki either lied about his methodology, lied about his results, or is incompetent.

  9. mkd Says:

    Jimbo,

    Please apply the same counting standard to the Democratic Caucus and see what percentage you get. Share your results with the class.

    Thanks

    (Was it a much bigger number than 50.3%? Yeah, I thought so.)

  10. JimboSlice Says:

    mkd: I get 75.285%.

  11. Rob Says:

    Jimbo-since each person is represented by three individuals you can’t just use overall population to get a % that makes sense.

  12. mkd Says:

    Wow, by McConnell’s logic the Democrats should be granted a filibuster proof majority!

  13. jack lecou Says:

    This is pretty funny, but I can’t quite replicate his numbers. If you do it exactly how he describes it — “each senator represents all of the people in his or her state” — then Republicans represent about half the population (Texas, Florida, Pennsylvania, Ohio, etc. are all said to be “represented” by Republicans as they have at least 1 GOP Senator).

    Right. But then if you do that, each state’s population goes in twice, so “total population”, the denominator to figure the percentage, is really US Pop*2. And if you do it that way, it’s mathematically equivalent to your second calculation – counting a senator as representing half his state.

    My method (which is the same that New Yorker guy says he used)
    I took all the states with atleast 1 R Senator and added up the populations.

    I think you’re doing it wrong. See above.

  14. mkd Says:

    also, what Rob said.

  15. JimboSlice Says:

    Guys I know that is probably not the best way. But the way that Mitch defined it, and the methodology that the New Yorker guy explained, yields 50.3%. I am pointing out that New Yorker guy got his #’s wrong.

    As they say their are lies, damn lies, and statistics.

  16. anonymiss Says:

    Actually if you do the REAL math you come out with 50.3%.

    Uh, this so-called REAL math also gives us Democrats representing 75.4% of Americans while at the same time Republicans represent 50.3%. Do you see the problem here?

    I think you failed math.

    But it’s OK, so did Mitch McConnell.

  17. JimboSlice Says:

    Jack: Your post is wrong. If you want to assume that each senator represents 1/2 of their state you need to completely re-do the calculations since some states like Texas have 2 Republican Senators but other states like OH are split.

    Again, what I did is exactly what the New Yorker guy said he did. He did not say that he magically doubled the US population.

  18. James Gary Says:

    But the way that Mitch defined it, and the methodology that the New Yorker guy explained, yields 50.3%. I am pointing out that New Yorker guy got his #’s wrong.

    I don’t have time to do the math right now, but I bet if you used that same methodology to figure out the Democrats’ numbers you might get a result showing the Democrats have more than 50% representation. So there. It is good to know that 110% of America is represented in the Senate.

  19. James Gary Says:

    And the reason I love this blog is that in the time it took me to type out my comment above, two other people had already nailed it.

  20. JimboSlice Says:

    Actually as an Engineer I have probably taken (and passed) more math than you ever dreamed existed. My math is correct if you use the assumption that the New Yorker guy did – that each senator completely represents his population. Under that assumption you will ofcourse get %R +%D >= 100% because there are some states that have 1 D and 1 R (and the states with the Socialist and the Lieberman have only 1 I).

  21. jack lecou Says:

    Well, I shouldn’t say wrong. I’m not sure there’s a “right” way to do this. After all, Surowiecki’s method seems to imply that the US senate represents 610M people.

    Your method actually seems fine. It’s just NOT what Surowiecki’s doing. (Although note that 50.3/(50.3+75.3) ~= 40%)

    What makes the problem tricky is having two senators to a state, with no districts. It’s also a somewhat malformed question. What does it mean to “represent” a person? Obviously a Republican senator technically “represents” all the Democrats in his state, in the sense that he serves them, but it’s hard to say that he really represents their views. A better way to do this might use voting totals – although that’s got problems too.

  22. jack lecou Says:

    My math is correct if you use the assumption that the New Yorker guy did – that each senator completely represents his population.

    That’s NOT equivalent to this:

    I took all the states with atleast 1 R Senator and added up the populations.

  23. James Gary Says:

    A better way to do this might use voting totals – although that’s got problems too.

    Well, one could give 100% of a state’s representation to a state with two Senators of the same party, and split it 50% where the Senators are of different parties. I’m not suggesting that the result would have any significance whatsoever—but then, neither do McConnell’s numbers or Surowiecki’s.

  24. JimboSlice Says:

    Here it is:
    50.3% of Americans are represented by a Republican Senator
    75.3% of Americans are represented by a Democratic Senator
    25.6% of Americans are represented by both a Democratic and Republican Senator.

    24.7% of Americans are represented exclusively by Republican Senators
    49.7% of Americans are represented exclusively by Democratic Senators

  25. jack lecou Says:

    Or, in case it’s still not clear, “each senator completely represents his population” implies that Jon Kyl, (R – AZ) represents 6.5M people. But by the same token, John McCain, (R – AZ) ALSO represents 6.5M people.

  26. JimboSlice Says:

    My math is correct if you use the assumption that the New Yorker guy did – that each senator completely represents his population.

    That’s NOT equivalent to this:

    I took all the states with atleast 1 R Senator and added up the populations.

    Yes, yes it is equivalent.

  27. right Says:

    I’m glad this continues to be hashed out, but the real point here is that McConnell said Republican Senators represent half the American population. Since a Republican Senator represents all the inhabitants of his/her state — even if the state’s other Senator is a Democrat — the math that Jimbo, I, and others have calculated above shows this to be a true statement.

    It would also be true to say Democratic senators represent three quarters of the American population.

  28. mkd Says:

    I will grant that with tortured logic and a random number completely lacking context you can arrive at McConnell’s silly “we represent half the population” talking point.

    The “New Yorker guy” however, seems to have added the populations each senator represents (Boxer= 35M, Feinstein= 35M, Cornyn= 25M, McCain= 600k, Kyl= 600k etc). Takes THAT TOTAL NUMBER and divides it by the total party numbers. He didn’t phrase it well, but that is clearly where his number (a more accurate number IMO) comes from.

  29. ben Says:

    Does Mcconnell’s method have anything to do with the 3/5th’s compromise?

  30. jack lecou Says:

    Yes, yes it is equivalent.

    No, it’s not. I don’t know if you’re the right kind of engineer or not, but in pseudocode (hope pre works…):

    Surowiecki’s way:

    for each GOP Senator, SEN {
    (People Represented By GOP senators) += (Population of SEN’s state)
    }

    Your way:

    for each State with a GOP Senator, STATE {
    {People Represented By GOP senators) += (Population of STATE)
    }

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  32. jeebus Says:

    Most retarded conversation ever.

  33. Chet Says:

    Since senators are elected by the state at-large, it logically follows that each and every senators is the plenipotentiary representation of his or her state.

    And that therefore the US Senate represents 200% of Americans.

    Oh, wait. Yeah, I’m not seeing why this assumption is better than the other one.

  34. Adam Villani Says:

    Just look at Jimbo’s post #24. That ought to be clear to everybody.

    OK, thought experiment time. Let’s say that each state was represented by one Republican Senator and one Democrat. In that case, it would both be true that, excluding the District of Columbia, Republicans would represent 100% of the population in the Senate, and ALSO TRUE that Democrats would represent 100% of the population in the Senate. The two statements are not exclusive, and the two figures need not add up to 100%. Senators do not represent 50% of their states’ populations.

    As long as we’re comparing resumes, I have a B.S. from Caltech in Geology, so I took a ton of math classes, too. Also, I got an 800 on the Analytical Reasoning section of the pre-2002 GRE.

  35. Adam Villani Says:

    I just want to note that if you have not just one but two shots to represent every American in the Senate, and with those two shots per American you still just barely scrape past representing 50% of them, that is actually a pretty piss-poor showing.

    This is also true. “Republicans represent half of the population” is a true statement, but it is also a misleading statement, since people (as seen in this thread) are wont to assume this means that Democrats only represent the other half. In fact, they represent the other half, PLUS about half of the population that is also represented by Republicans.

  36. Stephen Myles Says:

    And that therefore the US Senate represents 200% of Americans.

    Yes, based upon that calculation, this would be the mathematical conclusion. However, as two person are simultaneously representing the same, indivisible group of people, the amount and degree of support is therefore indivisible beyond this point. The assumption is that one senators is as good a partisan representation as two senators, because the amount of representation is vested in the delegation, not the individual.

    This would be a familiar concept in at-large election systems, like those commonly in use throughout the wealthier parts of the Commonwealth.

  37. roger Says:

    McConnel has 41 senators. He can dream about representing half of America all he wants. He still has 41 senators.
    So: Fuck him. Run over the creep. Let’s get this Bill Ayres inspired administration off with a bang. And no sugar for Kentucky.

  38. Skeptic Says:

    Wow. I think this thread is proof that Americans are the dumbest people on earth.

    I can’t imagine any other nation where this conversation would be taken seriously.

  39. Nate Peele Says:

    Wow. I think this thread is proof that Americans are the dumbest people on earth.

    I can’t imagine any other nation where this conversation would be taken seriously.

    USA! USA!

  40. jeebus Says:

    I can’t imagine any other nation where this conversation would be taken seriously.

    I assure you that dumb people are very well represented the world over.

  41. Chet Says:

    However, as two person are simultaneously representing the same, indivisible group of people, the amount and degree of support is therefore indivisible beyond this point.

    Well, but that gets absurd pretty quickly. If the esteemed Senators A and B of State X find themselves voting opposite on some issue, which of them represents the people? They can’t both be representing the same people, unless they represent a constituency composed entirely of schizophrenics. Either one of them represents everybody, and the other no one at all, or they both represent different portions of the same body politic.

    And at that point, it might be salient to, say, compare their positions on various subjects with the stated positions of their nominal constituencies, and see which matches up better.

    I guess what I’m saying is – why make the assumption of indivisibility? Especially when it leads to such counterintuitive definitions of what it means “to represent”?

  42. Adam Villani Says:

    If the esteemed Senators A and B of State X find themselves voting opposite on some issue, which of them represents the people?

    They both do. I have two Senators. They both represent me, even though I only voted for one of them, although a lot of people voted for both. There is no single voice of the people. Senator A casts a Yes vote, representing the people. Senator B casts a No vote, also representing the people. The people do not cast votes in Congress. They elect (or select through other means) people to represent them in the House of Representatives and in the Senate. That is what representive democracy is, as opposed to direct democracy.

    I live in California and have a zillion crappy propositions to vote on each election. That is direct democracy, and it sucks.

  43. Stephen Myles Says:

    chet:

    The concept is at-large representation; the State, in its abstract, collective form, is represented by its senatorial delegation of two Senators. This is a remnant from when Senate was appointed by legislature, instead of directly elected. The view of Senate as a national, rather than regional instrument is a rather modern concept; for a long time Senators were viewed as purely State representatives and were expected to reflect not a particular partisan viewpoint but rather the interests of the entire and particular State.

    I suspect you are doing this from pure democracy instinct from the gut rather than a detailed understanding of constitutional and legislative history; the fact is, senators represent states in their entirety and not just some particular group of people within that state; this is how the organ was designed, and this is how it functions.

  44. Stephen Myles Says:

    By the way, if you really wanted to know, the system of two senators for every state is a carry-over from the practice in the British Parliament of the time, of having most of the parliamentary districts send two Members to Westminster; some only sent one. It was thus impossible to have distinguished the MP’s of two-member constituencies from those from single-member constituencies in terms of representation; both were seen as equally valid representatives of their districts, in entirety.

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