Question

Students on a field trip at an amusement park were asked their grade in school. The table shows the results of the survey.

Grade
Number of Students
4th
45
5th
25
6th
60
7th
50
8th
60
9th
45

Suppose you want to show the data in a circle graph. Find the measure of the central angle for 9th grade. Round your answer to the nearest degree, if necessary.
a. 28
b. 45
c. 57
d. 16

Answer 1

Answer: Option 'C' is correct.

Explanation:

Since we have given that

Grade Number of Students

4th 45

5th 25

6th 60

7th 50

8th 60

9th 45

Total number of students is given by

45+25+60+50+60+45 = 285

So, the central angle for 9th grade would be

`(45)/(285)* 360^\circ\\\\=56.8^\circ\\\\\approx 57^\circ`

Hence, Option 'C' is correct.