1. 1: Analyzing Categorical Data
quartiles: Arrange the observations in increasing order and locate the median. The first quartile
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quartiles
:
Arrange the observations in increasing order and locate the median.
The
first quartile
Q
1
is the median of the observations located to the left of the median in the ordered list.
The
third quartile Q
3
is the median of the observations located to the right of the median in the ordered list.
The
interquartile range (
IQR
)
is defined as:
IQR = Q
3
– Q
1
Why is IQR better than range?
The quartiles and
the interquartile range are
resistant
because they are not affected by a few extreme observations.
Ex:
Q
3
would still be 42.5 and IQR would still be 27.5 if the maximum were 850 rather than 85.
Identifying
Outliers
In addition to
serving as a measure of spread
, the interquartile range (
IQR
) is used as part of a rule of thumb for identifying outliers.
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