If a pie-chart is drawn representing the number of students in all five colleges, what is the central angle (correct to the nearest whole number) of the sector representing the students of college B?

From the above table,
The number of students are available in college A$$ = 950$$
The number of students are available in college B $$= 1200$$
The number of students are available in college C $$= 850$$

The number of students are available in college D $$= 975$$
The number of students are available in college E $$= 1025$$

Hence, total number of students are available in the class $$= 5000$$

so percentage of area occupy by college B $$\dfrac{1200\times 100}{5000}=24\%$$

which occupy 24% of the area in the pie graph.