Listings for 75 single-family homes for sale in a single zip code show the following summary statistics for number of days on the market:
Q1 = 18, median = 64, Q3 = 119
Smallest 5 values: 1, 4, 4, 5, 5
Largest 5 values: 232, 233, 241, 253, 300
(a) Construct the box plot for these values, and comment on the shape of the distribution.
(b) Will the mean number of days be greater than 64?
IQR = 119 - 18 = 101, upper fence = 119 + 1.5*101 = 270.5, there is one outlier at 300, upper whisker will stop at 253