There is this another post on iSixSigma blog basting the tie-breaking rule in Gymnastics. I was not able to completely understand this rule too, while watching the live performance and felt that it was an appropriate way of measuring a gymnast's performance. By removing the lowest score in case of a tie, Nastia actually lost a higher score than He Kexin and lost the gold medal........
"An arbitrary and statistically flawed tie-breaking rule cost Nastia Liukin of the United States the gold medal in the women’s uneven bars competition at the Olympics earlier this month, according to Dr. Prasad Raje, CEO of Instantis.
After looking at the tied scores of gymnasts Liukin and He Kexin of China, Raje figures that Liukin actually had a “statistically superior score because there was less variance in the judge’s opinions on who performed better.”"
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