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 this problem, we first need to create the requested tables and bar graph based on the given student grades. Step 1: Create a Frequency Table Count the occurrences of each grade: - A: 3 - B: 4 - C: 8 - D: 3 - F: 1 The frequency table is: \[ \begin{array}{|c|c|} \hline \text{Grade} & \text{Frequency} \\ \hline A & 3 \\ B & 4 \\ C & 8 \\ D & 3 \\ F & 1 \\ \hline \end{array} \] Step 2: Create a Relative Frequency Table Calculate the relative frequency by dividing the frequency of each grade by the total number of grades (19 in total): - A: \( \frac{3}{19} \approx 0.158 \) - B: \( \frac{4}{19} \approx 0.211 \) - C: \( \frac{8}{19} \approx 0.421 \) - D: \( \frac{3}{19} \approx 0.158 \) - F: \( \frac{1}{19} \approx 0.053 \) The relative frequency table is: \[ \begin{array}{|c|c|} \hline \text{Grade} & \text{Relative Frequency} \\ \hline A & 0.158 \\ B & 0.211 \\ C & 0.421 \\ D & 0.158 \\ F & 0.053 \\ \hline \end{array} \] Step 3: Create a Percent Frequency Table Multiply each relative frequency by 100 to get the percent frequency: - A: \( 15.8\% \) - B: \( 21.1\% \) - C: \( 42.1\% \) - D: \( 15.8\% \) - F: \( 5.3\% \) The percent frequency table is: \[ \begin{array}{|c|c|} \hline \text{Grade} & \text{Percent Frequency (\%)} \\ \hline A & 15.8 \\ B & 21.1 \\ C & 42.1 \\ D & 15.8 \\ F & 5.3 \\ \hline \end{array} \] Step 4: Make a Bar Graph Create a bar graph using the frequency of each grade. Label the x-axis with grades (A, B, C, D, F) and the y-axis with frequency. Draw bars for each grade according to their frequency. This completes the assignment.