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Chapter 4: Measures of Position
167
Solution:
First, we need to arrange the data set in order to use previous
procedures to determine
,
, and the
. Using the
Basic Statistics
workbook, we can verify that
=
= 11,
=
= 26,
= 15 as
shown in
Figure 4-17
.
Figure 4-17:
Quartiles and
IQR
for
Example 4-8
Now,
– 1.5
= 11 – (1.5
15) = -11.5 and,
+ 1.5
= 26 +
(1.5
15) = 48.5. Since, 37 > -11.5 and 37 < 48.5, the value of 37 is NOT an
outlier relative to the rest of the values in the data set (based on the
Inner
Fence Test
). Note that these limits can also be obtained from the
Basic
Statistics
workbook. Refer to
Figure 4-18
.
That is, the number of medals won by the United States is not an outlier
relative to the number of medals won by the other 10 countries for the 2010
Winter Olympic Games.
Using the
Inner Fence Test
in the
Basic Statistics
workbook, we see the
conclusion is confirmed. Note the data was entered in the Data 1 column.
Refer to
Figure 4-18
.
Click here for the Basic Statistics Workbook