Published
- 2 min read
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 create the tables and bar graph, we will proceed step by step. Frequency Table Count the occurrences of each grade: - A: 3 - B: 4 - C: 7 - D: 2 - F: 1 Relative Frequency Table Calculate the relative frequency by dividing the count of each grade by the total number of grades. There are 17 grades in total. - A: \( \frac{3}{17} \approx 0.176 \) - B: \( \frac{4}{17} \approx 0.235 \) - C: \( \frac{7}{17} \approx 0.412 \) - D: \( \frac{2}{17} \approx 0.118 \) - F: \( \frac{1}{17} \approx 0.059 \) Percent Frequency Table Convert the relative frequencies to percentages by multiplying by 100. - A: \( 17.6\% \) - B: \( 23.5\% \) - C: \( 41.2\% \) - D: \( 11.8\% \) - F: \( 5.9\% \) For the bar graph, you can plot the grades on the x-axis and the frequency counts on the y-axis. Each bar will represent the number of occurrences of each grade.