Problem

Ratings of chess players. The United States Chess Federation (USCF) establishes a nu...

Ratings of chess players. The United States Chess Federation (USCF) establishes a numerical rating for each competitive chess player. The USCF rating is a number between 0 and 4,000 that changes over time, depending on the outcome of tournament games. The higher the rating, the better (more successful) the player is. The following table describes the rating distribution of 65,455 active USCF members. The data are saved in the USCF file.

a. Convert the information in the table into a graph that portrays the distribution of USCF ratings.

b. What percentage of players have a USCF rating of 2,000 or higher? (These players are “experts,” “masters,” or “senior masters.”)

c. The mean USCF rating of the 65,455 players is 1,068. Give a practical interpretation of this value.

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