{"status": "success", "data": {"description_md": "The set $\\{3,6,9,10\\}$ is augmented by a fifth element $n$, not equal to any of the other four. The median of the resulting set is equal to its mean. What is the sum of all possible values of $n$?\n\n$\\mathrm{(A)}\\ 7\\qquad \\mathrm{(B)}\\ 9\\qquad \\mathrm{(C)}\\ 19\\qquad \\mathrm{(D)}\\ 24\\qquad \\mathrm{(E)}\\ 26$\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 set <span class=\"katex--inline\">\\{3,6,9,10\\}</span> is augmented by a fifth element <span class=\"katex--inline\">n</span>, not equal to any of the other four. The median of the resulting set is equal to its mean. What is the sum of all possible values of <span class=\"katex--inline\">n</span>?</p>&#10;<p><span class=\"katex--inline\">\\mathrm{(A)}\\ 7\\qquad \\mathrm{(B)}\\ 9\\qquad \\mathrm{(C)}\\ 19\\qquad \\mathrm{(D)}\\ 24\\qquad \\mathrm{(E)}\\ 26</span></p>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2007 AMC 12A Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc12A_p16", "prev": "/problem/07_amc12A_p14"}}