Question

At State College last term, a large number of students completed a Spanish course. 53 of the students earned As, 85 earned Bs, 113 got Cs, 79 were issued Ds, and 33 students failed the course. If this grade distribution was graphed on a pie chart, how many degrees would be used to indicate the F region?

Answer 1

33 degrees

Step-by-step explanation:

The total number of students that participated in the course were

`53+85+113+79+33=363\; \text{students}`

What per cent of these students got an F? We know that 33 students failed the course; therefore,

`(33)/(363)*100\%=(100)/(11)\%`

Now, the number of degrees that the F region will subtend on the pie chart will be 100/11 percent of the whole. Now, 100/11 % of 360 degrees is

`(100)/(11)\%*(1)/(100)*360=(360)/(11)`

which (rounded to the nearest whole number) evaluates to

`(360)/(11)\approx33^o`

Therefore, we find that the F region would occupy 33 degrees on the pie chart.