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.

A28
B45
C57
D16

Verified Answer :

Answer:  Option 'C' is correct.

Step-by-step 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

\(\dfrac{45}{285}\times 360^\circ\\\\=56.8^\circ\\\\\approx 57^\circ\)

Hence, Option 'C' is correct.