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If I understand you correctly you are assuming that being valedictorian, scoring 1510+ and scoring 1600 are all independent events.
by doetoe 5y ago
If I understand you correctly you are assuming that being valedictorian, scoring 1510+ and scoring 1600 are all independent events.
- kragen 5y agoNo, I was considering them as happening to potentially different people at potentially different times. It's definitely true that if you somehow know you have scored 1510+ then finding out that you scored 1600 only gives you an extra 5.6 bits of information, and if you know that you scored 1600 then the fact that you scored 1510+ gives you 0 additional bits of information. And the correlation with being valedictorian is also pretty strong. Scoring 1600 intersection being valedictorian definitely does not give you 22 bits of information. Maybe 13. Also being valedictorian gives you less information than 10 bits about your relative countrywide or worldwide standing.