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, let’s follow the steps to create the frequency table, relative frequency table, and percent frequency table. Then, I’ll describe how to create a bar graph. ### Frequency Table 1. List the Grades and Count the Frequency: - A: 3 - B: 4 - C: 7 - D: 2 - F: 1 ### Relative Frequency Table 2. Calculate Relative Frequencies (divide the frequency of each grade by the total number of grades): - Total number of grades = 17 \[ \text{Relative Frequency of A} = \frac{3}{17} \approx 0.176 \] \[ \text{Relative Frequency of B} = \frac{4}{17} \approx 0.235 \] \[ \text{Relative Frequency of C} = \frac{7}{17} \approx 0.412 \] \[ \text{Relative Frequency of D} = \frac{2}{17} \approx 0.118 \] \[ \text{Relative Frequency of F} = \frac{1}{17} \approx 0.059 \] ### Percent Frequency Table 3. Convert Relative Frequencies to Percentages: \[ \text{Percent Frequency of A} = 0.176 \times 100 \approx 17.6\% \] \[ \text{Percent Frequency of B} = 0.235 \times 100 \approx 23.5\% \] \[ \text{Percent Frequency of C} = 0.412 \times 100 \approx 41.2\% \] \[ \text{Percent Frequency of D} = 0.118 \times 100 \approx 11.8\% \] \[ \text{Percent Frequency of F} = 0.059 \times 100 \approx 5.9\% \] ### Bar Graph 4. Create a Bar Graph: - Label the x-axis with the grades (A, B, C, D, F). - Label the y-axis with the frequency. - Draw bars for each grade with heights corresponding to their frequencies (3 for A, 4 for B, etc.). By following these steps, you can organize and visualize the data provided.