3) There are many problems with the verbal
description. The shape of the
distribution of hike distances is skewed to the right, because the longer tail is at the high end, not skewed to
the left. Even though 2.0 miles is the
mode of the distances, it is not true as claimed that most (more than half of
all hikes) are 2.0 miles. The 9.5 mile
hike is an outlier and should be commented on. There is also a type of
granularity in that almost half of the hikes are an integer number of miles,
but that’s hard to say the way this dotplot was
constructed (automatically by Minitab instead of considering a more meaningful
scaling for the context). Finally, one
important and glaring problem with the verbal description is that it makes no
reference to the context. Reading this description, one has no idea
whether the data are distances of hikes or scores on an exam or hours of sleep
in a week or … The description should
not only refer to the fact that the data are hike distances, but it should also
identify the measurement units of the hike distances as miles.