A student is constructing a circle graph for the set of data and rounding to the nearest degree as necessary. Find the number of degrees of the central angle for Potato.\begin{tabular}{|l|c|}\hline \multicolumn{2}{|c|}{ Preferred Vegetable } \\\hline \multicolumn{1}{|c|}{ Vegetable } & \begin{tabular}{c} Number of \\Students\end{tabular} \\\hline Beans & 36 \\\hline Carrots & 24 \\\hline Peas & 18 \\\hline Potato & 22 \\\hline\end{tabular}degrees
Q. A student is constructing a circle graph for the set of data and rounding to the nearest degree as necessary. Find the number of degrees of the central angle for Potato.\begin{tabular}{|l|c|}\hline \multicolumn{2}{|c|}{ Preferred Vegetable } \\\hline \multicolumn{1}{|c|}{ Vegetable } & \begin{tabular}{c} Number of \\Students\end{tabular} \\\hline Beans & 36 \\\hline Carrots & 24 \\\hline Peas & 18 \\\hline Potato & 22 \\\hline\end{tabular}degrees
Calculate Total Students: Calculate the total number of students. Add the number of students who prefer each vegetable to find the total. Total number of students = Beans + Carrots + Peas + Potato Total number of students = 36+24+18+22 Total number of students = 100
Determine Potato Proportion: Determine the proportion of students who prefer Potato.Since the total number of students is 100, the proportion for Potato is the same as its percentage.Proportion of Potato = Total number of studentsNumber of students who prefer PotatoProportion of Potato = 10022Proportion of Potato = 0.22
Calculate Central Angle: Calculate the number of degrees of the central angle for Potato.Since a circle has 360 degrees, the central angle for Potato can be found by multiplying the proportion by 360.Degrees for Potato =Proportion of Potato×Total degrees in a circleDegrees for Potato =0.22×360Degrees for Potato =79.2 degrees
Round Degrees: Round the number of degrees to the nearest degree as necessary.The number 79.2 is closest to 79 when rounded to the nearest whole number.Degrees for Potato (rounded) = 79 degrees
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