Question

1. a high school has 887 students enrolled. of these students, 218 are freshmen, 245 are sophomores, 199 are juniors, and the rest are seniors.

a. what percent of the students are seniors?
b. create a pie chart to display the distribution of grade level at this high school.

Explanation:

Step1: Calculate number of Seniors

$887-(218 + 245+199)=887 - 662=225$

Step2: Calculate percentage of Seniors

$\frac{225}{887}\times100\%\approx25.48\%$

Step3: Calculate percentages for other grades

Freshmen: $\frac{218}{887}\times 100\%\approx24.58\%$
Sophomores: $\frac{245}{887}\times 100\%\approx27.62\%$
Juniors: $\frac{199}{887}\times 100\%\approx22.44\%$

To create a pie - chart:

1. Use a protractor to convert the percentages to angles.

• A full circle is 360 degrees.
• Seniors: $0.2548\times360^{\circ}\approx91.73^{\circ}$
• Freshmen: $0.2458\times360^{\circ}\approx88.49^{\circ}$
• Sophomores: $0.2762\times360^{\circ}\approx99.43^{\circ}$
• Juniors: $0.2244\times360^{\circ}\approx80.78^{\circ}$

1. Draw a circle and mark the angles for each grade - level section. Label each section with the grade - level and its percentage.

Answer:

a. Approximately $25.48\%$ of the students are Seniors.
b. Pie - chart can be created by following the steps above to convert percentages to angles and mark them in a circle.