2017 AMC 12B Problems/Problem 5

Revision as of 18:49, 16 February 2017 by Toffeecube (talk | contribs) (Created page with "The data set <math>[6, 19, 33, 33, 39, 41, 41, 43, 51, 57]</math> has median <math>Q2 = 40</math>, first quartile <math>Q1 = 33</math>, and third quartile <math>Q3 = 43</math>...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

The data set $[6, 19, 33, 33, 39, 41, 41, 43, 51, 57]$ has median $Q2 = 40$, first quartile $Q1 = 33$, and third quartile $Q3 = 43$. An outlier in a data set is a value that is more than $1.5$ times the interquartile range below the first quartle ($Q1$) or more than $1.5$ times the interquartile range above the third quartile ($Q3$), where the interquartile range is defined as $Q3 - Q1$. How many outliers does this data set have?

$\textbf{(A)}\ 0\qquad\textbf{(B)}\ 1\qquad\textbf{(C)}\ 2\qquad\textbf{(D)}\ 3\qquad\textbf{(E)}\ 4$