a professor records the following final grades in one course. construct a frequency table for the grades.

$\begin{array}{llllllllllll}
\text{a} & \text{a} & \text{a} & \text{a} & \text{a} & \text{b} & \text{b} & \text{b} & \text{b} & \text{b} & \text{b} & \text{c} \\
\text{c} & \text{c} & \text{c} & \text{c} & \text{c} & \text{c} & \text{d} & \text{d} & \text{d} & \text{d} & \text{d} & \text{f}
\end{array}$

complete the table.
(type an integer or decimal rounded to the nearest tenth as needed.)

grade | frequency | relative frequency | cumulative frequency
--- | --- | --- | ---
a | | % |
b | | % |
c | | % |
d | | % |
f | | % |
total | | $1 = 100\%$ |

Question

a professor records the following final grades in one course. construct a frequency table for the grades.

$\begin{array}{llllllllllll}
\text{a} & \text{a} & \text{a} & \text{a} & \text{a} & \text{b} & \text{b} & \text{b} & \text{b} & \text{b} & \text{b} & \text{c} \\
\text{c} & \text{c} & \text{c} & \text{c} & \text{c} & \text{c} & \text{d} & \text{d} & \text{d} & \text{d} & \text{d} & \text{f}
\end{array}$

complete the table.
(type an integer or decimal rounded to the nearest tenth as needed.)

grade | frequency | relative frequency | cumulative frequency
--- | --- | --- | ---
a |   |  % |
b |   |  % |
c |   |  % |
d |   |  % |
f |   |  % |
total |   | $1 = 100\%$ |

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Frequency Table", "Relative Frequency", "Cumulative Frequency" ], "current_concepts": [ "Frequency Table", "Relative Frequency", "Cumulative Frequency" ] } ## Count the occurrences of each grade $$ \begin{aligned} &\text{A: } 5 \ &\text{B: } 6 \ &\text{C: } 7 \ &\text{D: } 5 \ &\text{F: } 1 \ &\text{Total: } 5 + 6 + 7 + 5 + 1 = 24 \end{aligned} $$ ## Calculate relative frequencies as percentages $$ \begin{aligned} &\text{A: } \frac{5}{24} \approx 20.8\% \ &\text{B: } \frac{6}{24} = 25.0\% \ &\text{C: } \frac{7}{24} \approx 29.2\% \ &\text{D: } \frac{5}{24} \approx 20.8\% \ &\text{F: } \frac{1}{24} \approx 4.2\% \end{aligned} $$ ## Calculate cumulative frequencies $$ \begin{aligned} &\text{A: } 5 \ &\text{B: } 5 + 6 = 11 \ &\text{C: } 11 + 7 = 18 \ &\text{D: } 18 + 5 = 23 \ &\text{F: } 23 + 1 = 24 \ &\text{Total: } 24 \end{aligned} $$ | Grade | Frequency | Relative frequency | Cumulative frequency | | :--- | :---: | :---: | :---: | | **A** | 5 | 20.8% | 5 | | **B** | 6 | 25.0% | 11 | | **C** | 7 | 29.2% | 18 | | **D** | 5 | 20.8% | 23 | | **F** | 1 | 4.2% | 24 | | **Total** | 24 | 100% | 24 | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Frequency Table" ] }

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QUESTION IMAGE

Question

Explanation:

Count the occurrences of each grade

Calculate relative frequencies as percentages

Calculate cumulative frequencies

Answer: