A group of 55 football players were polled about which synthetic grass they like to play on, Chemstrand or Chemgrass. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table

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Mathematics

Nicholas Stanton

27 August, 03:03

A group of 55 football players were polled about which synthetic grass they like to play on, Chemstrand or Chemgrass. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table

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Kaylin Howell · Answer 1

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