Question

vicky jotted down how many baskets she made during basketball practice each day.

\

$$\begin{tabular}{|c|c|} \\hline \\multicolumn{2}{|c|}{\\textbf{baskets made}} \\\\ \\hline \\textbf{day} & \\textbf{number of baskets} \\\\ \\hline saturday & 6 \\\\ \\hline sunday & 6 \\\\ \\hline monday & 3 \\\\ \\hline tuesday & 3 \\\\ \\hline wednesday & 10 \\\\ \\hline thursday & 4 \\\\ \\hline friday & 4 \\\\ \\hline \\end{tabular}$$

what is the median of the numbers?

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [],
"new_concepts": [
"Median",
"Data Set Analysis"
],
"current_concepts": [
"Median",
"Data Set Analysis"
]
}
</pre_analysis>

<reasoning>

Order the data set from least to greatest

\[
3, 3, 4, 4, 6, 6, 10
\]

Find the middle value

\[

$$\begin{aligned} &N = 7 \\ &\text{Middle position} = \frac{7 + 1}{2} = 4 \\ &\text{Value at position 4} = 4 \end{aligned}$$

\]
</reasoning>

<answer>
What is the median of the numbers?
<blank>4</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Median"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [],
"new_concepts": [
"Median",
"Data Set Analysis"
],
"current_concepts": [
"Median",
"Data Set Analysis"
]
}
</pre_analysis>

<reasoning>

Order the data set from least to greatest

\[
3, 3, 4, 4, 6, 6, 10
\]

Find the middle value

\[

$$\begin{aligned} &N = 7 \\ &\text{Middle position} = \frac{7 + 1}{2} = 4 \\ &\text{Value at position 4} = 4 \end{aligned}$$

\]
</reasoning>

<answer>
What is the median of the numbers?
<blank>4</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Median"
]
}
</post_analysis>