World Chess Championship. The top two players in the 2012 World Chess Championship were Viswanathan Anand and Boris Gelfand. The two players hold ranks 7 and 26, respectively, in the FIDE Ranking. The champion of the championship was Viswanathan Anand. The following table provides the matches won by each player during the 12 rounds and tie-breaker round of the competition, as found on moscow2012.fide.com.

Anand 0.5 0.5 0.5 0.5 

0.5 0 1 0.5 0.5 0.5 0.5 2.5 Gelfand 0.5 0.5 0.5 0.5 0.5 0.5 1 0  0.5 0.5 0.5 0.5 1.5

a. Obtain the individual population means of the number of matches won.

b. Without doing any calculations, decide for which player the standard deviation of the number of games won is smaller. Explain your answer.

c. Obtain the individual population standard deviations of the number of games won.

d. Are your answers to parts

(b) and

(c) consistent? Why or why not?