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a gymnast jotted down the number of cartwheels she did each day. doing …

Question

a gymnast jotted down the number of cartwheels she did each day.

doing cartwheels
day | number of cartwheels
wednesday | 7
thursday | 3
friday | 6
saturday | 6
sunday | 9
monday | 5

what is the mean of the numbers?

Explanation:

Response

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

<reasoning>

Sum the data values

\[
\text{Sum} = 7 + 3 + 6 + 6 + 9 + 5 = 36
\]

Divide by the number of values

\[

$$\begin{aligned} n &= 6 \\ \text{Mean} &= \frac{36}{6} = 6 \end{aligned}$$

\]
</reasoning>

<answer>
What is the mean of the numbers?
<blank>6</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Statistics",
"Mean Calculation"
]
}
</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": [
"Mean Calculation"
],
"new_concepts": [],
"current_concepts": [
"Mean Calculation",
"Data Set Analysis"
]
}
</pre_analysis>

<reasoning>

Sum the data values

\[
\text{Sum} = 7 + 3 + 6 + 6 + 9 + 5 = 36
\]

Divide by the number of values

\[

$$\begin{aligned} n &= 6 \\ \text{Mean} &= \frac{36}{6} = 6 \end{aligned}$$

\]
</reasoning>

<answer>
What is the mean of the numbers?
<blank>6</blank>
</answer>

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