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STA3032 Section 7347
Quiz 1 Solutions
1. For the categorical data, what are the numerical summaries used?
•
(b) and (e)
: The data in which sample items are placed into categories. Thus,
the categorical data is summarized by frequencies and sample proportions for
each categories.
2. Suppose that we randomly select ﬁve recordings of classical music from the
Schwann
Record Catalog
(which lists all current recordings of classical and nonclassical music),
and determine the listening time for each. The data values are
x
1
= 37,
x
2
= 46,
x
3
= 40,
x
4
= 57 and
x
5
= 50. However, if the ﬁfth recording selected is not a
Tchaikovsky symphony but instead a Wagner opera, so that
x
5
= 200. Which of the
following is true?
•
(c) Mean changes but median remains unchanged
: Mean can be highly
inﬂuenced by the outlier.
3. For a leftskewed distribution:
•
(b) Mean
<
Median
: Mean tends to be drawn in the direction of the tail of a
skewed distribution relative to the majority of the observation.
411. The data summarized in the given stemandleaf plot (
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 Spring '08
 Kyung
 Statistics

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