A survey about the student government program at a school finds the following results.
190 students like the program
135 students think the program is unnecessary
220 students plan on running for student government next year.
If a circle graph were made from the data, what is the measure of the central angle for the group that plans on running for student government next year?
A. 29 degrees
B. 90 degrees
C. 98 degrees
D. 172 degrees***
please check
Unless we know how many students belong to more than one of the groups, there is no way to know how many total students were sampled.
So, any or none of the choices could be correct.
?? I'm a little confused with what you said.. the question shows how many students like the program, think the program is unnecessary, and plan on running for student government.. But the question is asking "what is the measure of the central angle for the group that plans on running for student government next year" When it says what is the measure of the central angle.. it means whats the central angle in a Pie Graph.
And I think the central angle for the Pie Graph would be 172 degrees
To find the measure of the central angle for the group that plans on running for student government next year, we need to determine the fraction of students who plan on running for student government out of the total number of students.
First, we need to find the total number of students surveyed, which can be calculated by adding the number of students who like the program to the number of students who think the program is unnecessary:
Total number of students = 190 (students who like the program) + 135 (students who think the program is unnecessary) = 325 students
Next, we calculate the fraction of students who plan on running for student government out of the total number of students:
Fraction of students planning on running = 220 (students planning on running) / 325 (total students) = 0.6769
To find the measure of the central angle, we multiply the fraction by 360 degrees (the total degrees in a circle):
Central angle = 0.6769 * 360 degrees ≈ 243.68 degrees
Since none of the provided answer choices match exactly, we can round the measure of the central angle to the nearest whole number. The answer closest to 243.68 degrees is 98 degrees (option C).