The following data sets give the ages in years of a sample of
cars in a faculty parking lot and a student parking lot at a
college. Complete parts (a) through (e).

Find the mean, median, and range for each of the two data sets.
Find the mean, median and range for faculty parking.

(round to the nearest hundredth as needed)

Find the mean, median, and the range for student parking.

(round to the nearest hundredth as needed)

Give the five-number summary and draw a boxplot for each of the
two data sets. Give the five-number summary for faculty
parking.

Low=

Lower quartile=

Median=

Upper quartile=

High=

Give the five-number summary for
student parking.

Low=

Lower quartile=

Median=

Upper quartile=

High=

Draw a boxplot for the faculty data set and for the student data
set:

Find the standard deviation for each of the two data sets. Find
the standard deviation for the faculty data set.

s= _____ (round to the nearest tenth as needed)

Find the standard deviation for the student data set.

s=_____ (round to the nearest tenth as needed)

Apply the range rule of thumb to estimate the standard deviation
of each of the two data sets. Briefly discuss why it does or does
not work well. Find the standard deviation for the faculty data set
using the range rule of thumb.

s=______ (round to the nearest tenth as needed)

Find the standard deviation for the student data set using the
range rule of thumb.

s=____ (round to the nearest tenth as needed)

Does the rule work well in each case?

Why does the rule work or not work in each case?

Because there are high value outliers but there are no low value
outliers

Because there are high and low value outliers

Because there are no high or low value outliers

(e). Based on all your results, compare and discuss the two data
sets in terms of their center and variation.

a. The ages of cars in the faculty parking lot are higher than
ages of cars in the student parking lot, and variations in ages of
cars in the faculty parking lot are lower than variation in ages of
cars in the student parking lots.

b. The ages of cars in the faculty parking lot are lower than
ages of cars in the student parking lot, and variations in ages of
cars in the faculty parking lot are higher than variation in ages
of cars in the student parking lot.

c. The ages of cars in the faculty parking lot are lower than
ages of cars in the student parking lot, and variations in age of
cars in the faculty parking lot are lower than variation in ages of
cars in the student parking lot.