encuentra el valor atípico del conjunto de datos. 15, 20, 18, 35, 17, 3…

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Question

encuentra el valor atípico del conjunto de datos.

15, 20, 18, 35, 17, 35, 13

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Interquartile Range",
"Outlier Boundaries"
],
"new_concepts": [],
"current_concepts": [
"Interquartile Range",
"Outlier Boundaries"
]
}
</pre_analysis>

Ordenar el conjunto de datos y encontrar la mediana

\[
13, 15, 17, 18, 20, 35, 35
\]
\[
\text{Mediana} (Q_2) = 18
\]

Calcular los cuartiles y el rango intercuartílico

\[
Q_1 = 15,\quad Q_3 = 35
\]
\[
\text{IQR} = Q_3 - Q_1 = 35 - 15 = 20
\]

Determinar los límites para valores atípicos

\[
\text{Límite Inferior} = Q_1 - 1.5 \times \text{IQR} = 15 - 1.5(20) = -15
\]
\[
\text{Límite Superior} = Q_3 + 1.5 \times \text{IQR} = 35 + 1.5(20) = 65
\]
\[
\text{Todos los datos están dentro del intervalo } [-15, 65]
\]
</reasoning>

<answer>
<mcq-correct>(A) Ninguno</mcq-correct>
<mcq-option>(B) 35</mcq-option>
<mcq-option>(C) 13</mcq-option>
<mcq-option>(D) 15</mcq-option>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Statistics",
"Outlier Boundaries"
]
}
</post_analysis>

Answer: