Question

1. Here is data on annual rainfall in select east-coast cities. Construct a box plot.

City	Millimeters
Washington, DC	1009
Philadelphia, PA	1055
Baltimore, MD	1064
Boston, MA	1112
Raleigh, NC	1169
Tampa, FL	1176
Virginia Beach, VA	1182
Providence, RI	1198
Nashville, TN	1200
Atlanta, GA	1263
New York, NY	1268
Orlando, FL	1289
Jacksonville, FL	1331
Memphis, TN	1363
Miami, FL	1572

1. What is the lower fence: ______

2. What is the upper fence: ______

3. Draw a box plot (clearly label the median, Q1, Q3, whiskers, and any outliers)

Answer 1

Q₁ = 1112

Q₃ = 1289

IQR = Q₃ - Q₁ = 1289 - 1112 = 177

a.

Lower fence = Q₁ - 1.5*IQR = 1112 - 1.5*177 = 846.5

b.

Upper fence = Q₃ + 1.5*IQR = 1289 + 1.5*177 = 1554.5

c.