{"status": "success", "data": {"description_md": "The data set $[6,19,33,33,39,41,41,43,51,57]$ has median $Q_2 = 40$, first quartile $Q_1 = 33$, and third quartile $Q_3=43$. An outlier in a data set is a value that is more than $1.5$ times the interquartile range below the first quartile $(Q_1)$ or more than $1.5$ times the interquartile range above the third quartile $(Q_3)$, where the interquartile range is defined as $Q_3 - Q_1$. How many outliers does this data set have?\n\n$\\textbf{(A)}\\ 0\\qquad\\textbf{(B)}\\ 1\\qquad\\textbf{(C)}\\ 2\\qquad\\textbf{(D)}\\ 3\\qquad\\textbf{(E)}\\ 4$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The data set  <span class=\"katex--inline\">[6,19,33,33,39,41,41,43,51,57]</span>  has median  <span class=\"katex--inline\">Q_2 = 40</span> , first quartile  <span class=\"katex--inline\">Q_1 = 33</span> , and third quartile  <span class=\"katex--inline\">Q_3=43</span> . An outlier in a data set is a value that is more than  <span class=\"katex--inline\">1.5</span>  times the interquartile range below the first quartile  <span class=\"katex--inline\">(Q_1)</span>  or more than  <span class=\"katex--inline\">1.5</span>  times the interquartile range above the third quartile  <span class=\"katex--inline\">(Q_3)</span> , where the interquartile range is defined as  <span class=\"katex--inline\">Q_3 - Q_1</span> . How many outliers does this data set have?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 0\\qquad\\textbf{(B)}\\ 1\\qquad\\textbf{(C)}\\ 2\\qquad\\textbf{(D)}\\ 3\\qquad\\textbf{(E)}\\ 4</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2017 AMC 12B Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/17_amc12B_p06", "prev": "/problem/17_amc12B_p04"}}