Senator Amy Klobuchar, for instance, is from Minnesota, worth 1.7 percent of the national population. If she has the support of one-third of Minnesotans, that alone could be enough for her to reach the 0.5 percent she would need to hit 1 percent in a national poll, since poll results are typically rounded up to the nearest whole number.
Montana, in contrast, is worth 0.3 percent of the national population. Even unanimous support from his home state would still leave Mr. Bullock short of 0.5 percent.
Despite his late entry and his small state, Mr. Bullock came even closer to qualifying than it looks. He actually appeared to qualify for the debate, but the D.N.C. said one of his qualifying polls — an open-ended ABC News/Washington Post survey — wouldn’t make the cut.
It is not obvious why the poll wouldn’t count; you could argue that being named, from memory, in an open-ended survey is a stronger indicator of support than when a candidate is named after someone hears the candidate’s name. On Thursday, Mr. Bullock’s campaign unsuccessfully argued once again that the disqualified poll should be counted.
In the Monmouth poll in Nevada that proved decisive, released Wednesday, Mr. Bullock’s one respondent was given a below-average weight of 0.77, according to Patrick Murray of Monmouth University. Nearly all modern political polls adjust the value of responses in this way; individual respondents are given more or less weight to bring the demographic composition of the sample into alignment with the broader population. In general, an older white voter will have less weight than a younger and nonwhite one, because older white voters tend to respond to surveys at higher rates.
Mr. Bullock would have qualified had his respondent had a weight of 1.83 or more, as some respondents did, or if a hypothetical second respondent had a weight of 1.06 or more — just slightly above average.
Of course, I (and almost certainly you) also fell just one highly weighted respondent short of reaching 1 percent of the vote in the Nevada poll, so it is not a high bar.