2017 AMC 12B Problems/Problem 5
Problem
The data set 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
The interquartile range is defined as , which is
.
times this value is
, so all values more than
below
=
is an outlier. The only one that fits this is
. All values more than
above
=
are also outliers, of which there are none so there is only
outlier in total.
See Also
2017 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 4 |
Followed by Problem 6 |
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All AMC 12 Problems and Solutions |
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