A group of 55 football players was polled about which synthetic grass they like to play on, Chemgrass or Chemstrand. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table. A circle labeled chemstrand 15 overlaps a circle labeled chemgrass 17. Overlap is labeled 13. 4-column table with 3 rows. First column has no label with entries likes chemgrass, does not like chemgass, total. Second column is likes chemstrand with entries x, z, 28. Third column is does not like chemstrand with entries y, 10, 27. Fourth column is total with entries 30, 25, 55. What are the values of x, y, and z? x = 17, y = 15, and z = 13 x = 13, y = 15, and z = 17 x = 15, y = 13, and z = 17 x = 13, y = 17, and z = 15

From the Venn diagram: 15 players like Chemstrand, 17 players like Chemgrass, 13 players like both Chemstrand and Chemgrass while 10 players like neither Chemstrand nor Chemgrass.

The missing values in the frequency table are x - representing the number of players that like both Chemstrand and Chemgrass, y - representing the number of players that like Chemgrass but do not like Chemstrand and z - representing the number of players likes Chemstrand but do not like Chemgrass.

The number of players that like both Chemstrand and Chemgrass is 13. The number of players that like Chemgrass but do not like Chemstrand is 17. The number of players likes Chemstrand but do not like Chemgrass is 15.

Therefore, x = 13, y = 17 and z = 15

x=13 y=17 and z=15

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