StemandLeaf Graphs (Stemplots)
Learning Outcomes
 Display data graphically and interpret graphs: stemplots, histograms, and box plots.
Example
For Susan Dean's spring precalculus class, scores for the first exam were as follows (smallest to largest):Stem  Leaf 

$3$ 
$3$ 
$4$ 
$2$ $9$ $9$ 
$5$ 
$3$ $5$ $5$ 
$6$ 
$1$ $3$ $7$ $8$ $8$ $9$ $9$ 
$7$ 
$2$ $3$ $4$ $8$ 
$8$ 
$0$ $3$ $8$ $8$ $8$ 
$9$ 
$0$ $2$ $4$ $4$ $4$ $4$ $6$ 
$10$ 
$0$ 
Try It
For the Park City basketball team, scores for the last 30 games were as follows (smallest to largest):Construct a stem plot for the data.
Stem  Leaf 

$3$ 
$2$ $2$ $3$ $4$ $8$ 
$4$ 
$0$ $2$ $2$ $3$ $4$ $6$ $7$ $7$ $8$ $8$ $8$ $9$ 
$5$ 
$0$ $0$ $1$ $2$ $2$ $2$ $3$ $4$ $6$ $7$ $7$ 
$6$ 
$0$ $1$ 
Example
The data are the distances (in kilometers) from a home to local supermarkets. Create a stemplot using the data:Does the data seem to have any concentration of values?
NOTE
The leaves are to the right of the decimal.Stem  Leaf 

$1$ 
$1$ $5$ 
$2$ 
$3$ $5$ $7$ 
$3$ 
$2$ $3$ $3$ $5$ $8$ 
$4$ 
$0$ $2$ $5$ $5$ $7$ $8$ 
$5$ 
$5$ $6$ 
$6$ 
$5$ $7$ 
$7$ 

$8$ 

$9$ 

$10$ 

$11$ 

$12$ 
$3$ 
try it
The following data show the distances (in miles) from the homes of offcampus statistics students to the college. Create a stem plot using the data and identify any outliers:Stem  Leaf 

$0$ 
$5$ $7$ 
$1$ 
$1$ $2$ $2$ $3$ $3$ $5$ $5$ $7$ $7$ $8$ $9$ 
$2$ 
$0$ $2$ $5$ $6$ $8$ $8$ $8$ 
$3$ 
$5$ $8$ 
$4$ 
$4$ $8$ $9$ 
$5$ 
$2$ $5$ $7$ $8$ 
$6$ 

$7$ 

$8$ 
$0$ 
Example
A sidebyside stemandleaf plot allows a comparison of the two data sets in two columns. In a sidebyside stemandleaf plot, two sets of leaves share the same stem. The leaves are to the left and the right of the stems. The two following tables show the ages of presidents at their inauguration and at their death. Construct a sidebyside stemandleaf plot using this data.Presidential Ages at Inauguration:
President  Age  President  Age  President  Age 

Washington  $57$ 
Lincoln  $52$ 
Hoover  $54$ 
J. Adams  $61$ 
A. Johnson  $56$ 
F. Roosevelt  $51$ 
Jefferson  $57$ 
Grant  $46$ 
Truman  $60$ 
Madison  $57$ 
Hayes  $54$ 
Eisenhower  $62$ 
Monroe  $58$ 
Garfield  $49$ 
Kennedy  $43$ 
J. Q. Adams  $57$ 
Arthur  $51$ 
L. Johnson  $55$ 
Jackson  $61$ 
Cleveland  $47$ 
Nixon  $56$ 
Van Buren  $54$ 
B. Harrison  $55$ 
Ford  $61$ 
W. H. Harrison  $68$ 
Cleveland  $55$ 
Carter  $52$ 
Tyler  $51$ 
McKinley  $54$ 
Reagan  $69$ 
Polk  $49$ 
T. Roosevelt  $42$ 
G.H.W. Bush  $64$ 
Taylor  $64$ 
Taft  $51$ 
Clinton  $47$ 
Fillmore  $50$ 
Wilson  $56$ 
G. W. Bush  $54$ 
Pierce  $48$ 
Harding  $55$ 
Obama  $47$ 
Buchanan  $65$ 
Coolidge  $51$ 
President  Age  President  Age  President  Age 

Washington  $67$ 
Lincoln  $56$ 
Hoover  $90$ 
J. Adams  $90$ 
A. Johnson  $66$ 
F. Roosevelt  $63$ 
Jefferson  $83$ 
Grant  $63$ 
Truman  $88$ 
Madison  $85$ 
Hayes  $70$ 
Eisenhower  $78$ 
Monroe  $73$ 
Garfield  $49$ 
Kennedy  $46$ 
J. Q. Adams  $80$ 
Arthur  $56$ 
L. Johnson  $64$ 
Jackson  $78$ 
Cleveland  $71$ 
Nixon  $81$ 
Van Buren  $79$ 
B. Harrison  $67$ 
Ford  $93$ 
W. H. Harrison  $68$ 
Cleveland  $71$ 
Reagan  $93$ 
Tyler  $71$ 
McKinley  $58$ 

Polk  $53$ 
T. Roosevelt  $60$ 

Taylor  $65$ 
Taft  $72$ 

Fillmore  $74$ 
Wilson  $67$ 

Pierce  $64$ 
Harding  $57$ 

Buchanan  $77$ 
Coolidge  $60$ 
Example
The table shows the number of wins and losses the Atlanta Hawks have had inLosses  Wins  Year  Losses  Wins  Year 

$34$ 
$48$ 
1968â€“1969  $41$ 
$41$ 
1989â€“1990 
$34$ 
$48$ 
1969â€“1970  $39$ 
$43$ 
1990â€“1991 
$46$ 
$36$ 
1970â€“1971  $44$ 
$38$ 
1991â€“1992 
$46$ 
$36$ 
1971â€“1972  $39$ 
$43$ 
1992â€“1993 
$36$ 
$46$ 
1972â€“1973  $25$ 
$57$ 
1993â€“1994 
$47$ 
$35$ 
1973â€“1974  $40$ 
$42$ 
1994â€“1995 
$51$ 
$31$ 
1974â€“1975  $36$ 
$46$ 
1995â€“1996 
$53$ 
$29$ 
1975â€“1976  $26$ 
$56$ 
1996â€“1997 
$51$ 
$31$ 
1976â€“1977  $32$ 
$50$ 
1997â€“1998 
$41$ 
$41$ 
1977â€“1978  $19$ 
$31$ 
1998â€“1999 
$36$ 
$46$ 
1978â€“1979  $54$ 
$28$ 
1999â€“2000 
$32$ 
$50$ 
1979â€“1980  $57$ 
$25$ 
2000â€“2001 
$51$ 
$31$ 
1980â€“1981  $49$ 
$33$ 
2001â€“2002 
$40$ 
$42$ 
1981â€“1982  $47$ 
$35$ 
2002â€“2003 
$39$ 
$43$ 
1982â€“1983  $54$ 
$28$ 
2003â€“2004 
$42$ 
$40$ 
1983â€“1984  $69$ 
$13$ 
2004â€“2005 
$48$ 
$34$ 
1984â€“1985  $56$ 
$26$ 
2005â€“2006 
$32$ 
$50$ 
1985â€“1986  $52$ 
$30$ 
2006â€“2007 
$25$ 
$57$ 
1986â€“1987  $45$ 
$37$ 
2007â€“2008 
$32$ 
$50$ 
1987â€“1988  $35$ 
$47$ 
2008â€“2009 
$30$ 
$52$ 
1988â€“1989  $29$ 
$53$ 
2009â€“2010 
Number of Losses
Atlanta Hawks Wins and Losses  

Number of Wins  
$3$ 
$1$ 
$9$ 
$9$ $8$ $8$ $6$ $5$ 
$2$ 
$5$ $5$ $9$ 
$8$ $7$ $6$ $6$ $5$ $5$ $4$ $3$ $1$ $1$ $1$ $1$ $0$ 
$3$ 
$0$ $2$ $2$ $2$ $2$ $4$ $4$ $5$ $6$ $6$ $6$ $9$ $9$ $9$ 
$8$ $8$ $7$ $6$ $6$ $6$ $3$ $3$ $3$ $2$ $2$ $1$ $1$ $0$ 
$4$ 
$0$ $0$ $1$ $1$ $2$ $4$ $5$ $6$ $6$ $7$ $7$ $8$ $9$ 
$7$ $7$ $6$ $3$ $2$ $0$ $0$ $0$ $0$ 
$5$ 
$1$ $1$ $1$ $2$ $3$ $4$ $4$ $6$ $7$ 
$6$ 
$9$ 