Question

At State College last term, a large number of students completed a Spanish course. 65 of the students earned As, 76 earned Bs, 114 got Cs, 82 were issued Ds, and 59 students failed the course. If this grade distribution was graphed on a pie chart, how many degrees would be used to indicate the D region?

Answer 1

74.55° will be used to indicate region D

Step-by-step explanation:

Number of students with As = 65

Number of students with Bs = 76

Number of students with Cs = 114

Number of students with Ds = 82

Number of students that failed the course = 59

Total number of students = 65 + 76 + 114 + 82 + 59

Total number of students = 396

Total degree in a circle (pie chart) = 360°

396 students represents 360 degree

To get the degree of each group of students, we will divide the number of students in each group by the total number of students multiplied by the 360°

`region\text{ = }\frac{number\text{ of sudents in the region}}{\text{Total number of students}}\text{ }*\text{ 360}\degree`

For D region:

`\begin{gathered} D\text{ = }(82)/(396)*360 \\ D\text{ = 74.55}\degree \end{gathered}`

74.55° will be used to indicate region D