177 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.

Transcribed Image Text:

Classification Senior Master Senior Master 2,800 to 2,899 2,700 to 2,799 Rating Range Number of Players 1 13 Senior Master 2,600 to 2,699 66 Senior Master 2,500 to 2,599 87 Senior Master 2,400 to 2,499 133 Master 2,300 to 2,399 231 Master 2,200 to 2,299 691 Expert 2,100 to 2,199 783 Expert 2,000 to 2,099 1,516 Class A 1,900 to 1,999 1,907 Class A 1,800 to 1,899 2,682 Class B 1,700 to 1,799 3,026 Class B 1,600 to 1,699 3,437 Class C 1,500 to 1,599 3,582 Class C 1,400 to 1,499 3,386 Class D 1,300 to 1,399 3,139 Class D 1,200 to 1,299 3,153 Class E 1,100 to 1,199 2,973 Class E 1,000 to 1,099 3,021 Class F 900 to 999 3,338 Class F 800 to 899 3,520 Class G 700 to 799 3,829 Class G 600 to 699 3,946 Class H 500 to 599 3,783 Class H 400 to 499 3,544 Class I 300 to 399 3,142 Class I 200 to 299 2,547 Class J 0 to 199 3,979 Total Members 65,455 Average Rating 1,068 Based on United States Chess Federation; www.uschess.org.