A survey about student government program at school finds 110 students like the program, 120 students this the program is unnecessary, and 210 students plan on running for student government next year. What's is the measure of the central angle for the group that likes the program, if a circle graph were made?
There are a total of 440 students who were surveyed (110 + 120 + 210).
To find the measure of the central angle for the group that likes the program:
1. Calculate the percentage of students who like the program:
110 students like the program out of 440 surveyed students, so:
110/440 x 100% = 25%
2. Calculate the central angle:
The central angle is calculated by multiplying the percentage by 360 (the total degrees in a circle).
25% x 360 = 90 degrees
Therefore, the measure of the central angle for the group that likes the program would be 90 degrees if a circle graph were made.
To find the measure of the central angle for the group that likes the program in a circle graph, we need to calculate the proportion of students who like the program.
First, we can calculate the total number of students surveyed by adding the number of students who like the program and the number of students who think the program is unnecessary:
Total number of students = Number who like the program + Number who think the program is unnecessary
Total number of students = 110 + 120
Total number of students = 230
Next, we can calculate the proportion of students who like the program by dividing the number of students who like the program by the total number of students and then multiplying it by 360 degrees (as there are 360 degrees in a circle):
Proportion of students who like the program = (Number who like the program / Total number of students) * 360
Proportion of students who like the program = (110 / 230) * 360
Proportion of students who like the program ≈ 0.4783 * 360
Proportion of students who like the program ≈ 172.59
Therefore, the measure of the central angle for the group that likes the program in the circle graph would be approximately 172.59 degrees.
To determine the measure of the central angle for the group that likes the program if a circle graph were made, we need to calculate the relative frequency of that group and then convert it into the central angle.
The relative frequency of a group is calculated by dividing the number of individuals in that group by the total number of individuals surveyed.
In this case, the number of students who like the program is 110, and the total number of students surveyed is 110 + 120 + 210 = 440.
The relative frequency of the group that likes the program is 110/440 = 0.25.
To convert this relative frequency into a central angle, we need to multiply it by 360 degrees, which is the total angle in a circle.
Central angle = Relative frequency * Total angle
Central angle = 0.25 * 360 degrees
Central angle = 90 degrees
Therefore, the measure of the central angle for the group that likes the program would be 90 degrees if a circle graph were made.