Question: Below are student grades for a particular course. Make a frequency table, a relative frequency…

Below are student grades for a particular course. Make a frequency table, a relative frequency table, and a percent frequency table for the data. Also, make a bar graph.

F, A, B, B, C, C, B, C, A, A, C, C, D, C, B, D, C, C

Solution

To solve the problem, we’ll create the following: 1. Frequency Table 2. Relative Frequency Table 3. Percent Frequency Table 4. Bar Graph ### 1. Frequency Table First, count the number of each grade: - A: 2 - B: 4 - C: 7 - D: 2 - F: 1 ### 2. Relative Frequency Table Calculate the relative frequency of each grade. There are a total of 16 grades. \[ \begin{align*} \text{Relative Frequency of A} & = \frac{2}{16} = 0.125 \\ \text{Relative Frequency of B} & = \frac{4}{16} = 0.25 \\ \text{Relative Frequency of C} & = \frac{7}{16} = 0.4375 \\ \text{Relative Frequency of D} & = \frac{2}{16} = 0.125 \\ \text{Relative Frequency of F} & = \frac{1}{16} = 0.0625 \\ \end{align*} \] ### 3. Percent Frequency Table Convert the relative frequencies to percentages by multiplying by 100. \[ \begin{align*} \text{Percent Frequency of A} & = 0.125 \times 100 = 12.5\% \\ \text{Percent Frequency of B} & = 0.25 \times 100 = 25\% \\ \text{Percent Frequency of C} & = 0.4375 \times 100 = 43.75\% \\ \text{Percent Frequency of D} & = 0.125 \times 100 = 12.5\% \\ \text{Percent Frequency of F} & = 0.0625 \times 100 = 6.25\% \\ \end{align*} \] ### 4. Bar Graph Create a bar graph with the grades on the x-axis and the frequency on the y-axis. Each bar height corresponds to the frequency of the grade. - A: 2 - B: 4 - C: 7 - D: 2 - F: 1 To visualize, you can sketch or use graphing software to plot the bar graph based on the frequencies.