the numbers of courses taught per semester by a random sample of university professors are shown in the histogram. make a frequency distribution for the data. then use the table to estimate the sample mean and the sample standard deviation of the data set.

make a frequency distribution for the data.

\begin{array}{c|c}
x & f \\
\hline
1 & \square \\
2 & \square \\
3 & \square \\
4 & \square
\end{array}

Question

the numbers of courses taught per semester by a random sample of university professors are shown in the histogram. make a frequency distribution for the data. then use the table to estimate the sample mean and the sample standard deviation of the data set.

make a frequency distribution for the data.

\begin{array}{c|c}
x & f \\
\hline
1 & \square \\
2 & \square \\
3 & \square \\
4 & \square
\end{array}

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Frequency Distribution" ], "new_concepts": [], "current_concepts": [ "Frequency Distribution", "Histogram Interpretation" ] } ## Extract frequencies from the histogram Using the *Frequency Distribution* knowledge point $$ \begin{aligned} &\text{For } x = 1: f = 4\ &\text{For } x = 2: f = 20\ &\text{For } x = 3: f = 21\ &\text{For } x = 4: f = 15 \end{aligned} $$ Make a frequency distribution for the data. | $x$ | $f$ | | :---: | :---: | | 1 | 4 | | 2 | 20 | | 3 | 21 | | 4 | 15 | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Frequency Distribution" ] }

\(x\)	\(f\)
2	<blank>20</blank>
3	<blank>21</blank>
4	<blank>15</blank>

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QUESTION IMAGE

Question

Explanation:

Extract frequencies from the histogram

Answer: