Study the given histogram that shows the marks obtained by students in an examination and answer the question that follows.
If the total marks obtained by students be represented as a pie chart, then the central angle of the sector representing marks 200 or more but less than 300, is: (correct to the nearest degree)
Answer & explanation
Correct answer: option 2
Total number of students = 30 + 45 + 60 + 35 + 40 + 35 = 245
Central angle corresponds to students having marks 200 or more but less than 300 = \(\frac{ 45 + 60 }{245}\) × 360°
= \(\frac{ 105 }{245}\) × 360°
= 154.28°
= 154° (correct to the nearest degree)