My friend Jill has a collection
of 240 compact disks. She keeps track of them in a spread
sheet; one variable she measures and records is the
playing time. Jill (like just about every other woman)
has Joni Mitchell's Hejira in her collection; Hejira has
a playing time of 51:23 which is 51.383 minutes. Here's a
- Note the presence of at
least one outlier. How many outliers are there?
(The exact height of the bar over the 3-6 class
- Give some likely
explanations for the outlier(s).
- What percentage of Jill's
CDs have playing time between 33 and 39 minutes?
- Using the histogram it is
possible to closely approximate the value of the
96th percentile. What is this value?
- Characterize the shape of
- Dropping the outliers from
the data set, Jill computes the mean playing time
to be 45.03 minutes. How will the median compare
to this value?
- If Jill were to include the
outlier(s), how would the mean change? How would
the median change?