Question

A school did a survey among 100 students to find their sports preferences. The students were asked about their preferences for soccer or volleyball. Out of the total 80 people who liked soccer, 30 also liked volleyball. There were 45 people who liked volleyball. Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points) Like soccer Do not like soccer Total Like volleyball A D G Do not like volleyball B E H Total C F I Part B: What percentage of the survey respondents did not like either soccer or volleyball? (3 points) Part C: Do the survey results reveal a greater dislike for soccer or volleyball? Justify your answer. (2 points)

Answer 1

Part a)
we know that

Total number of students = 100
80 students like soccer.
So
this means 20 students do not like soccer.

Out of 80 who liked soccer, 30 liked volleyball
so
this means remaining 50 do not like volleyball.

Out of 45 students who likes volleyball, 30 likes soccer (mentioned in previous statement),
so
15 did not like soccer. 

Based on this data, we can complete the table
see the attached picture. 

Part b)
Number of students who do not like soccer = 20
Number of students who do not like volleyball = 55
This is also include 5 students who do not like both games.
So
number of students who do not like either soccer or volleyball
= 20 + 55 - 5 = 70 students

Percentage of students who do not like either soccer or volleyball
= 70/100 = 70 %

the answer part b) is 
70%

Part c)
The survey reveals a greater dislike for volleyball.
80 students like soccer and only 45 students like volleyball.
Only 20 students do not like soccer, while 55 students do not like volleyball.

the answer part c) is
This shows a greater dislike for volleyball as compared to soccer.

Answer 2

Answer:

So there is a second answer and his part B is not correct, its supposed to be 0.5 % BC its only the student who didnt like ANY of the two sports.

Step-by-step explanation: