Difference between revisions of "2017 AMC 12B Problems/Problem 5"
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| + | ==Problem 5== | ||
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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>. An outlier in a data set is a value that is more than <math>1.5</math> times the interquartile range below the first quartle (<math>Q1</math>) or more than <math>1.5</math> times the interquartile range above the third quartile (<math>Q3</math>), where the interquartile range is defined as <math>Q3 - Q1</math>. How many outliers does this data set have? | 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>. An outlier in a data set is a value that is more than <math>1.5</math> times the interquartile range below the first quartle (<math>Q1</math>) or more than <math>1.5</math> times the interquartile range above the third quartile (<math>Q3</math>), where the interquartile range is defined as <math>Q3 - Q1</math>. How many outliers does this data set have? | ||
<math>\textbf{(A)}\ 0\qquad\textbf{(B)}\ 1\qquad\textbf{(C)}\ 2\qquad\textbf{(D)}\ 3\qquad\textbf{(E)}\ 4</math> | <math>\textbf{(A)}\ 0\qquad\textbf{(B)}\ 1\qquad\textbf{(C)}\ 2\qquad\textbf{(D)}\ 3\qquad\textbf{(E)}\ 4</math> | ||
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| + | ==Solution== | ||
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| + | ==See Also== | ||
| + | {{AMC12 box|year=2017|ab=B|before=num-b=4|num-a=6}} | ||
| + | {{MAA Notice}} | ||
Revision as of 18:50, 16 February 2017
Problem 5
The data set ![$[6, 19, 33, 33, 39, 41, 41, 43, 51, 57]$](http://latex.artofproblemsolving.com/c/1/f/c1f79e4f4be0f8520c3451e684ea03f3f42d9817.png)
has median 
, first quartile 
, and third quartile 
. An outlier in a data set is a value that is more than 
times the interquartile range below the first quartle (
) or more than times the interquartile range above the third quartile (
), where the interquartile range is defined as 
. How many outliers does this data set have?
Solution
See Also
| 2017 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by num-b=4 |
Followed by Problem 6 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
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