Thank you for this great answer! So, for the question, even if the number was 30% we still cannot determine the amount of people that somewhat agreed to both right (since we don't know who is voting what)? In that case, would we say Cannot be determined?
The table gives percentages but the number of participants were 100 hence it indicates the actual number of people.
Did most respondents who indicated they somewhat agreed that class sizes should be reduced also indicate that they somewhat agreed that music classes should be added?We know that we are only given the number of people who somewhat agreed to each activity, not who are the people who agreed to each. So it is possible that of the 47 people who "somewhat agreed" to reducing class size, none 'somewhat agreed' to adding music classes.
On the other extreme, it is possible that of the 47 people who "somewhat agreed" to reducing class size, 22 'somewhat agreed' to adding music classes too (because only 22 people 'somewhat agreed' to adding music classes).
This means that no matter what, of the 47, maximum 22 can "somewhat agree" with both.
For MOST of the 47 respondents to agree for music classes, at least 24 respondents must agree to music classes too. Hence, we can determine that most respondents who indicated they somewhat agreed that class sizes should be reduced did NOT indicate that they somewhat agreed that music classes should be added.
ANSWER: Can be determinedThis is a trap question. You know that logic tells you that the people could be different. But ensure that you look at the actual given figures too. Perhaps most is just not possible.
What percentage of all respondents chose not to give an opinion about whether athletic facilities should be improved?We know that 12 + 24 + 28 + 35 people gave their opinion on athletic facilities. Hence we can subtract this sum from 100 to get how many people did not give their opinions. We will not actually waste time finding it.
ANSWER: Can be determined.What percentage of all respondents indicated that they strongly disagreed with all four actions?We know that 2 people 'strongly disagreed' with reducing class size. Were they the same two people who strongly disagreed with all other activities too? We can't say. They may have agreed to other activities. So we cannot determine this.
ANSWER: Cannot be determined