Question : 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 are represented as a pie chart, then the central angle corresponding to marks 250 or more but less than 300 is:
(correct to the nearest degree)
Option 1: 188°
Option 2: 88°
Option 3: 68°
Option 4: 128°
Correct Answer: 88°
Solution :
According to the question
⇒ Total students = 30 + 45 + 60 + 35 + 35 + 40 + 35 = 245 students
The total central angle in a pie chart is 360 degrees
Now,
⇒ 1 student corresponds to $\frac{360º}{245}$
Since 60 students got the marks more than 250 but less than 300.
So, 60 students corresponds to $\frac{360º}{245}$ × 60 = 88º
Hence, the correct answer is 88º.
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