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The statistics table tells you several interesting
things about the distribution of sale, starting with the five-number summary.
The center of the distribution can be approximated by
the median (or second quartile)
20.25, and half of the data values fall between 12.0
and 52.875, the first and third quartiles.
Also, the most extreme values are 6.0 and
776.5, the minimum and maximum.
The mean is quite different from the median,
suggesting that the distribution is asymmetric.
This suspicion is confirmed by the large positive
skewness, which shows that sale has a long right tail.
That is, the distribution is
asymmetric, with some distant values in a positive direction
from the center of the distribution. Most
variables with a finite lower limit (for example, 0) but no
fixed upper limit tend to be positively skewed.
The large positive skewness, in addition to skewing
the mean to the right of the median, inflates the
standard deviation to a point where it is no longer
useful as a measure of the spread of data values.
The large positive kurtosis tells you that the
distribution of sale is more peaked and has
heavier tails than the normal distribution.
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Statistics table |